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Books > Science & Mathematics > Mathematics > Probability & statistics

Time Series for Data Science - Analysis and Forecasting (Hardcover): Wayne A. Woodward, Bivin Philip Sadler, Stephen Robertson Time Series for Data Science - Analysis and Forecasting (Hardcover)
Wayne A. Woodward, Bivin Philip Sadler, Stephen Robertson
R3,175 Discovery Miles 31 750 Ships in 9 - 15 working days

Provides a thorough coverage and comparison of a wide array of time series models and methods: Exponential Smoothing, Holt Winters, ARMA and ARIMA, deep learning models including RNNs, LSTMs, GRUs, and ensemble models composed of combinations of these models. Introduces the factor table representation of ARMA and ARIMA models. This representation is not available in any other book at this level and is extremely useful in both practice and pedagogy. Uses real world examples that can be readily found via web links from sources such as the US Bureau of Statistics, Department of Transportation and the World Bank. There is an accompanying R package that is easy to use and requires little or no previous R experience. The package implements the wide variety of models and methods presented in the book and has tremendous pedagogical use.

Introduction to Environmental Data Science (Hardcover): Jerry Davis Introduction to Environmental Data Science (Hardcover)
Jerry Davis
R2,332 Discovery Miles 23 320 Ships in 9 - 15 working days

Introduction to Environmental Data Science focuses on data science methods in the R language applied to environmental research, with sections on exploratory data analysis in R including data abstraction, transformation, and visualization; spatial data analysis in vector and raster models; statistics & modelling ranging from exploratory to modelling, considering confirmatory statistics and extending to machine learning models; time series analysis, focusing especially on carbon and micrometeorological flux; and communication. Introduction to Environmental Data Science. It is an ideal textbook to teach undergraduate to graduate level students in environmental science, environmental studies, geography, earth science, and biology, but can also serve as a reference for environmental professionals working in consulting, NGOs, and government agencies at the local, state, federal, and international levels. Features * Gives thorough consideration of the needs for environmental research in both spatial and temporal domains. * Features examples of applications involving field-collected data ranging from individual observations to data logging. * Includes examples also of applications involving government and NGO sources, ranging from satellite imagery to environmental data collected by regulators such as EPA. * Contains class-tested exercises in all chapters other than case studies. Solutions manual available for instructors. * All examples and exercises make use of a GitHub package for functions and especially data.

Tree-Based Methods for Statistical Learning in R (Hardcover): Brandon M. Greenwell Tree-Based Methods for Statistical Learning in R (Hardcover)
Brandon M. Greenwell
R2,561 Discovery Miles 25 610 Ships in 9 - 15 working days

Thorough coverage, from the ground up, of tree-based methods (e.g., CART, conditional inference trees, bagging, boosting, and random forests). A companion website containing additional supplementary material and the code to reproduce every example and figure in the book. A companion R package, called treemisc, which contains several data sets and functions used throughout the book (e.g., there's an implementation of gradient tree boosting with LAD loss that shows how to perform the line search step by updating the terminal node estimates of a fitted rpart tree). Interesting examples that are of practical use; for example, how to construct partial dependence plots from a fitted model in Spark MLlib (using only Spark operations), or post-processing tree ensembles via the LASSO to reduce the number of trees while maintaining, or even improving performance.

Statistics for Technology - A Course in Applied Statistics, Third Edition (Paperback, 3rd edition): Chris Chatfield Statistics for Technology - A Course in Applied Statistics, Third Edition (Paperback, 3rd edition)
Chris Chatfield
R2,616 Discovery Miles 26 160 Ships in 9 - 15 working days

One of the most popular introductory texts in its field, Statistics for Technology: A Course in Applied Studies presents the range of statistical methods commonly used in science, social science, and engineering.
The mathematics are simple and straightforward; statistical concepts are explained carefully; and real-life (rather than contrived) examples are used throughout the chapters.
Divided into three parts, the Introduction describes some simple methods of summarizing data. Theory examines the basic concepts and theory of statistics. Applications covers the planning and procedures of experiments, quality control, and life testing.
Revised throughout, this Third Edition places a higher priority on the role of computers in analysis, and many new references have been incorporated. A new appendix describes general methods of tackling statistical problems, including guidance on literature searching and report writing.

Probability, Statistics, and Stochastic Processes for Engineers and Scientists (Paperback): Aliakbar Montazer Haghighi, Indika... Probability, Statistics, and Stochastic Processes for Engineers and Scientists (Paperback)
Aliakbar Montazer Haghighi, Indika Wickramasinghe
R1,933 Discovery Miles 19 330 Ships in 9 - 15 working days

2020 Taylor & Francis Award Winner for Outstanding New Textbook! Featuring recent advances in the field, this new textbook presents probability and statistics, and their applications in stochastic processes. This book presents key information for understanding the essential aspects of basic probability theory and concepts of reliability as an application. The purpose of this book is to provide an option in this field that combines these areas in one book, balances both theory and practical applications, and also keeps the practitioners in mind. Features Includes numerous examples using current technologies with applications in various fields of study Offers many practical applications of probability in queueing models, all of which are related to the appropriate stochastic processes (continuous time such as waiting time, and fuzzy and discrete time like the classic Gambler's Ruin Problem) Presents different current topics like probability distributions used in real-world applications of statistics such as climate control and pollution Different types of computer software such as MATLAB (R), Minitab, MS Excel, and R as options for illustration, programing and calculation purposes and data analysis Covers reliability and its application in network queues

Impact 4 (Paperback, New edition): Thomas Fast Impact 4 (Paperback, New edition)
Thomas Fast
R1,007 Discovery Miles 10 070 Ships in 10 - 15 working days

Impact helps teenage learners to better understand themselves, each other, and the world they live in. By encouraging self-expression, global citizenship, and active participation, Impact motivates students to explore who they are and who they want to be, all while learning English!

Analyzing US Census Data - Methods, Maps, and Models in R (Paperback): Kyle Walker Analyzing US Census Data - Methods, Maps, and Models in R (Paperback)
Kyle Walker
R1,694 Discovery Miles 16 940 Ships in 9 - 15 working days

Access US Census Bureau geographic and demographic data directly within R. Wrangle Census data with tidyverse tools and work with margins of error in the American Community Survey. Make maps and interactive web visualizations with US Census data. Explore Census data with spatial analysis using the sf package. Integrate Census data into spatial and machine learning models.

Randomization, Bootstrap and Monte Carlo Methods in Biology (Paperback, 4th edition): Bryan F.J. Manly, Jorge A. Navarro Alberto Randomization, Bootstrap and Monte Carlo Methods in Biology (Paperback, 4th edition)
Bryan F.J. Manly, Jorge A. Navarro Alberto
R1,426 Discovery Miles 14 260 Ships in 9 - 15 working days

Modern computer-intensive statistical methods play a key role in solving many problems across a wide range of scientific disciplines. Like its bestselling predecessors, the fourth edition of Randomization, Bootstrap and Monte Carlo Methods in Biology illustrates a large number of statistical methods with an emphasis on biological applications. The focus is now on the use of randomization, bootstrapping, and Monte Carlo methods in constructing confidence intervals and doing tests of significance. The text provides comprehensive coverage of computer-intensive applications, with data sets available online. Features Presents an overview of computer-intensive statistical methods and applications in biology Covers a wide range of methods including bootstrap, Monte Carlo, ANOVA, regression, and Bayesian methods Makes it easy for biologists, researchers, and students to understand the methods used Provides information about computer programs and packages to implement calculations, particularly using R code Includes a large number of real examples from a range of biological disciplines Written in an accessible style, with minimal coverage of theoretical details, this book provides an excellent introduction to computer-intensive statistical methods for biological researchers. It can be used as a course text for graduate students, as well as a reference for researchers from a range of disciplines. The detailed, worked examples of real applications will enable practitioners to apply the methods to their own biological data.

The Equation of Knowledge - From Bayes' Rule to a Unified Philosophy of Science (Paperback): Lê Nguyên Hoang The Equation of Knowledge - From Bayes' Rule to a Unified Philosophy of Science (Paperback)
Lê Nguyên Hoang
R1,107 Discovery Miles 11 070 Ships in 12 - 17 working days

The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge. The author strives to make this book accessible to a very broad audience, suitable for professionals, students, and academics, as well as the enthusiastic amateur scientist/mathematician. This book also shows how Bayesianism sheds new light on nearly all areas of knowledge, from philosophy to mathematics, science and engineering, but also law, politics and everyday decision-making. Bayesian thinking is an important topic for research, which has seen dramatic progress in the recent years, and has a significant role to play in the understanding and development of AI and Machine Learning, among many other things. This book seeks to act as a tool for proselytising the benefits and limits of Bayesianism to a wider public. Features Presents the Bayesian approach as a unifying scientific method for a wide range of topics Suitable for a broad audience, including professionals, students, and academics Provides a more accessible, philosophical introduction to the subject that is offered elsewhere

A First Course in Fuzzy Logic (Paperback, 4th edition): Hung T. Nguyen, Carol Walker, Elbert A. Walker A First Course in Fuzzy Logic (Paperback, 4th edition)
Hung T. Nguyen, Carol Walker, Elbert A. Walker
R1,390 Discovery Miles 13 900 Ships in 9 - 15 working days

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to the theory and applications of fuzzy logic. This popular text offers a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Fourth Edition: Features new results on fuzzy sets of type-2 Provides more information on copulas for modeling dependence structures Includes quantum probability for uncertainty modeling in social sciences, especially in economics With its comprehensive updates, this new edition presents all the background necessary for students, instructors and professionals to begin using fuzzy logic in its many-applications in computer science, mathematics, statistics, and engineering. About the Authors: Hung T. Nguyen is a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. He is also an Adjunct Professor of Economics at Chiang Mai University, Thailand. Carol L. Walker is also a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. Elbert A. Walker is a Professor Emeritus, Department of Mathematical Sciences, New Mexico State University.

Probabilidad y Estadistica para Ingenieria y Ciencias (Paperback, 8th edition): Jay Devore Probabilidad y Estadistica para Ingenieria y Ciencias (Paperback, 8th edition)
Jay Devore
R1,294 Discovery Miles 12 940 Ships in 10 - 15 working days

Este texto lider en el mercado ofrece una amplia introduccion a la probabilidad y la estadistica para estudiantes de ingenieria en todas las especialidades. Demostrado, preciso y alabado por sus excelentes ejemplos, probabilidad y estadistica para ingenieria y ciencias evidencia la reputacion de Jay Devore como un autor destacado y lider en la comunidad academica.Devore hace hincapie en los conceptos, modelos, metodologia y aplicaciones en comparacion con el desarrollo matematico riguroso y derivaciones. Ayudado por sus ejemplos vivos y realistas, los estudiantes van mas alla de simplemente aprender acerca de las estadisticas, aprendiendo tambien como poner los metodos estadisticos en uso.

A Primer of Multivariate Statistics (Paperback, 3rd edition): Richard J. Harris A Primer of Multivariate Statistics (Paperback, 3rd edition)
Richard J. Harris
R1,676 Discovery Miles 16 760 Ships in 12 - 17 working days

Drawing upon more than 30 years of experience in working with statistics, Dr. Richard J. Harris has updated A Primer of Multivariate Statistics to provide a model of balance between how-to and why. This classic text covers multivariate techniques with a taste of latent variable approaches. Throughout the book there is a focus on the importance of describing and testing one's interpretations of the emergent variables that are produced by multivariate analysis. This edition retains its conversational writing style while focusing on classical techniques. The book gives the reader a feel for why one should consider diving into more detailed treatments of computer-modeling and latent-variable techniques, such as non-recursive path analysis, confirmatory factor analysis, and hierarchical linear modeling. Throughout the book there is a focus on the importance of describing and testing one's interpretations of the emergent variables that are produced by multivariate analysis.

Statistical Tools for Environmental Quality Measurement (Paperback): Douglas E Splitstone, Michael E. Ginevan Statistical Tools for Environmental Quality Measurement (Paperback)
Douglas E Splitstone, Michael E. Ginevan
R1,358 Discovery Miles 13 580 Ships in 9 - 15 working days

When interpreting environmental data, scientists and engineers first must select the correct statistical tool to use for their analysis. By doing this they will be able to make sound decisions in their efforts to solve environmental problems. They need a detailed reference that points out the subtle differences between statistical procedures, making clear what procedure to use when trying to find the answer to a specific problem. Statistical Tools for Environmental Quality Measurement provides a detailed review of statistical tools used in analyzing and addressing environmental issues. This book examines commonly-used techniques found in USEPA guidelines and discusses their potential impact on decision-making. The authors are not constrained by statistical formalism; they advise when to go outside of standard statistical models when making difficult decisions. The content is presented in a practical style that prioritizes methods that work, based upon the authors' extensive experience. The text points out that simplicity facilitates effective communication of an analysis and decision to a "consumer" of statistics. The book emphasizes the exact question that each procedure addresses, so that environmental scientists and engineers can clearly identify precisely the question they want to ask, and correctly interpret the results.

Psychological Statistics - The Basics (Paperback): Thomas J. Faulkenberry Psychological Statistics - The Basics (Paperback)
Thomas J. Faulkenberry
R619 Discovery Miles 6 190 Ships in 9 - 15 working days

Psychological Statistics: The Basics walks the reader through the core logic of statistical inference and provides a solid grounding in the techniques necessary to understand modern statistical methods in the psychological and behavioral sciences. This book is designed to be a readable account of the role of statistics in the psychological sciences. Rather than providing a comprehensive reference for statistical methods, Psychological Statistics: The Basics gives the reader an introduction to the core procedures of estimation and model comparison, both of which form the cornerstone of statistical inference in psychology and related fields. Instead of relying on statistical recipes, the book gives the reader the big picture and provides a seamless transition to more advanced methods, including Bayesian model comparison. Psychological Statistics: The Basics not only serves as an excellent primer for beginners but it is also the perfect refresher for graduate students, early career psychologists, or anyone else interested in seeing the big picture of statistical inference. Concise and conversational, its highly readable tone will engage any reader who wants to learn the basics of psychological statistics.

Advanced Statistics for Physical and Occupational Therapy (Hardcover): Thomas Gus Almonroeder Advanced Statistics for Physical and Occupational Therapy (Hardcover)
Thomas Gus Almonroeder
R3,991 Discovery Miles 39 910 Ships in 9 - 15 working days

Provides step-by-step tutorials with clinically relevant examples and data sets to allow the readers to be more interactive with the topics discussed within Provides a relatable context to the examples provided within the text which helps make the topic more easily understood and manageable, thereby making the book popular more accessible to student readers Includes case studies to demonstrate how the statistical test was used to answer a clinically relevant research question

A Gentle Introduction to Stata, Revised Sixth Edition (Paperback, 6th edition): Alan C. Acock A Gentle Introduction to Stata, Revised Sixth Edition (Paperback, 6th edition)
Alan C. Acock
R1,862 Discovery Miles 18 620 Ships in 9 - 15 working days

Alan C. Acock's A Gentle Introduction to Stata, Revised Sixth Edition is aimed at new Stata users who want to become proficient in Stata. After reading this introductory text, new users will be able to not only use Stata well but also learn new aspects of Stata. Acock assumes that the user is not familiar with any statistical software. This assumption of a blank slate is central to the structure and contents of the book. Acock starts with the basics; for example, the part of the book that deals with data management begins with a careful and detailed example of turning survey data on paper into a Stata-ready dataset. When explaining how to go about basic exploratory statistical procedures, Acock includes notes that will help the reader develop good work habits. This mixture of explaining good Stata habits and explaining good statistical habits continues throughout the book. Acock is quite careful to teach the reader all aspects of using Stata. He covers data management, good work habits (including the use of basic do-files), basic exploratory statistics (including graphical displays), and analyses using the standard array of basic statistical tools (correlation, linear and logistic regression, and parametric and nonparametric tests of location and dispersion). He also successfully introduces some more advanced topics such as multiple imputation and multilevel modeling in a very approachable manner. Acock teaches Stata commands by using the menus and dialog boxes while still stressing the value of Stata commands and do-files. In this way, he ensures that all types of users can build good work habits. Each chapter has exercises that the motivated reader can use to reinforce the material. The tone of the book is friendly and conversational without ever being glib or condescending. Important asides and notes about terminology are set off in boxes, which makes the text easy to read without any convoluted twists or forward referencing. Rather than splitting topics by their Stata implementation, Acock arranges the topics as they would appear in a basic statistics textbook; graphics and postestimation are woven into the material naturally. Real datasets, such as the General Social Surveys from 2002, 2006, and 2016, are used throughout the book. The focus of the book is especially helpful for those in the behavioral and social sciences because the presentation of basic statistical modeling is supplemented with discussions of effect sizes and standardized coefficients. Various selection criteria, such as semipartial correlations, are discussed for model selection. Acock also covers a variety of commands available for evaluating reliability and validity of measurements. The revised sixth edition is fully up to date for Stata 17, including updated discussion and images of Stata's interface and modern command syntax. In addition, examples include new features such as the table command and collect suite for creating and exporting customized tables as well as the option for creating graphs with transparency.

ISE Statistics for Engineers and Scientists (Paperback, 6th edition): William Navidi ISE Statistics for Engineers and Scientists (Paperback, 6th edition)
William Navidi
R1,761 Discovery Miles 17 610 Ships in 12 - 17 working days

Statistics for Engineers and Scientists stands out for its clear presentation of applied statistics. The book takes a practical approach to methods of statistical modeling and data analysis that are most often used in scientific work. This edition features a unique approach highlighted by an engaging writing style that explains difficult concepts clearly, along with the use of contemporary real world data sets, to help motivate students and show direct connections to industry and research. While focusing on practical applications of statistics, the text makes extensive use of examples to motivate fundamental concepts and to develop intuition. The new edition of Statistics for Engineers and Scientists is also available in McGraw Hill Connect, featuring SmartBook 2.0, Adaptive Learning Assignments, and more!

The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals) (Hardcover): Hilary Putnam The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals) (Hardcover)
Hilary Putnam
R1,473 Discovery Miles 14 730 Ships in 12 - 17 working days

First published in 1990, this is a reissue of Professor Hilary Putnam 's dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam 's mentor, Hans Reichenbach, the book considers Reichenbach 's idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach 's pragmatic vindication of induction.

Stochastic Processes with R - An Introduction (Hardcover): Olga Korosteleva Stochastic Processes with R - An Introduction (Hardcover)
Olga Korosteleva
R2,540 Discovery Miles 25 400 Ships in 9 - 15 working days

* Provides complete R codes for all simulations and calculations * Substantial scientific or popular applications of each process with occasional statistical analysis. * Helpful definitions and examples are provided for each process. * End of chapter exercises cover theoretical applications and practice calculations.

Statistics for Sport and Exercise Studies - An Introduction (Hardcover): Peter O'Donoghue Statistics for Sport and Exercise Studies - An Introduction (Hardcover)
Peter O'Donoghue
R4,970 Discovery Miles 49 700 Ships in 12 - 17 working days

Statistics for Sport and Exercise Studies guides the student through the full research process, from selecting the most appropriate statistical procedure, to analysing data, to the presentation of results, illustrating every key step in the process with clear examples, case-studies and data taken from real sport and exercise settings. Every chapter includes a range of features designed to help the student grasp the underlying concepts and relate each statistical procedure to their own research project, including definitions of key terms, practical exercises, worked examples and clear summaries. The book also offers an in-depth and practical guide to using SPSS in sport and exercise research, the most commonly used data analysis software in sport and exercise departments. In addition, a companion website includes more than 100 downloadable data sets and work sheets for use in or out of the classroom, full solutions to exercises contained in the book, plus over 1,300 PowerPoint slides for use by tutors and lecturers. Statistics for Sport and Exercise Studies is a complete, user-friendly introduction to the use of statistical tests, techniques and procedures in sport, exercise and related subjects. Visit the companion website at: www.routledge.com/cw/odonoghue

Research Methods - Concepts and Connections (Paperback, 3rd ed. 2021): Michael Passer Research Methods - Concepts and Connections (Paperback, 3rd ed. 2021)
Michael Passer
R2,064 Discovery Miles 20 640 Ships in 12 - 17 working days

With over two decades of classroom experience, Michael Passer knows how to guide students through the ins and outs of research methods. In this remarkable text, Passer's experience leads to chapters filled with clear explanations, resonant examples, and contemporary research from across the breadth of modern psychology, all while anticipating common questions and misunderstandings. The new edition has been fully updated to reflect the latest APA style guidelines, as well as the updated APA Code of Conduct and ethical principles. It features full-page infographics summarizing key concepts and fully updated research. It can be packaged FREE with Worth Publishers' LaunchPad Solo for Research Methods-the ideal online component for the text, featuring videos and activities that put students in the role of either experimenter or research subject.

R Companion for Sampling - Design and Analysis, Third Edition (Paperback): Yan Lu, Sharon L Lohr R Companion for Sampling - Design and Analysis, Third Edition (Paperback)
Yan Lu, Sharon L Lohr
R926 Discovery Miles 9 260 Ships in 9 - 15 working days

Contains information for using R software with the examples in the textbook Sampling: Design and Analysis, 3rd edition by Sharon L. Lohr.

Effect Sizes for Research - Univariate and Multivariate Applications, Second Edition (Hardcover, 2nd edition): Robert J.... Effect Sizes for Research - Univariate and Multivariate Applications, Second Edition (Hardcover, 2nd edition)
Robert J. Grissom, John J. Kim
R4,096 Discovery Miles 40 960 Ships in 12 - 17 working days

Noted for its comprehensive coverage, this greatly expanded new edition now covers the use of univariate and multivariate effect sizes. Many measures and estimators are reviewed along with their application, interpretation, and limitations. Noted for its practical approach, the book features numerous examples using real data for a variety of variables and designs, to help readers apply the material to their own data. Tips on the use of SPSS, SAS, R, and S-Plus are provided. The book's broad disciplinary appeal results from its inclusion of a variety of examples from psychology, medicine, education, and other social sciences. Special attention is paid to confidence intervals, the statistical assumptions of the methods, and robust estimators of effect sizes. The extensive reference section is appreciated by all.

With more than 40% new material, highlights of the new editon include:

  • three new multivariate chapters covering effect sizes for analysis of covariance, multiple regression/correlation, and multivariate analysis of variance
  • more learning tools in each chapter including introductions, summaries, "Tips and Pitfalls" and more conceptual and computational questions
  • more coverage of univariate effect sizes, confidence intervals, and effect sizes for repeated measures to reflect their increased use in research
  • more software references for calculating effect sizes and their confidence intervals including SPSS, SAS, R, and S-Plus
  • the data used in the book are now provided on the web along with new data and suggested calculations with IBM SPSS syntax for computational practice.

Effect Sizes for Research covers standardized and unstandardized differences between means, correlational measures, strength of association, and parametric and nonparametric measures for between- and within-groups data.

Intended as a resource for professionals, researchers, and advanced students in a variety of fields, this book is also an excellent supplement for advanced statistics courses in psychology, education, the social sciences, business, and medicine. A prerequisite of introductory statistics through factorial analysis of variance and chi-square is recommended.

Applied Statistics for Economists (Hardcover): Margaret Lewis Applied Statistics for Economists (Hardcover)
Margaret Lewis
R4,538 Discovery Miles 45 380 Ships in 12 - 17 working days

This book is an undergraduate text that introduces students to commonly used statistical methods in economics. Using examples based on contemporary economic issues and readily available data, it not only explains the mechanics of the various methods, but also guides students to connect statistical results to detailed economic interpretations. Because the goal is for students to be able to apply the statistical methods presented, online sources for economic data and directions for performing each task in Excel are also included.

An Objective Theory of Probability (Routledge Revivals) (Hardcover): Donald Gillies An Objective Theory of Probability (Routledge Revivals) (Hardcover)
Donald Gillies
R4,215 Discovery Miles 42 150 Ships in 12 - 17 working days

This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises' views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises' definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the actual world of experiments'. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper's concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.

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