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Books > Science & Mathematics > Mathematics
The subject of information geometry blends several areas of
statistics, computer science, physics, and mathematics. The subject
evolved from the groundbreaking article published by legendary
statistician C.R. Rao in 1945. His works led to the creation of
Cramer-Rao bounds, Rao distance, and Rao-Blackawellization.
Fisher-Rao metrics and Rao distances play a very important role in
geodesics, econometric analysis to modern-day business analytics.
The chapters of the book are written by experts in the field who
have been promoting the field of information geometry and its
applications.
Study smarter and stay on top of your calculus course with the
bestselling Schaum's Outline-now with the NEW Schaum's app and
website! Schaum's Outline of Calculus, Seventh Edition is the go-to
study guide for hundreds of thousands of high school and college
students enrolled in calculus courses-including Calculus, Calculus
II, Calculus III, AP Calculus and Precalculus. With an outline
format that facilitates quick and easy review, Schaum's Outline of
Calculus, Seventh Edition helps you understand basic concepts and
get the extra practice you need to excel in these courses. Chapters
include Linear Coordinate Systems, Functions, Limits, Rules for
Differentiating Functions, Law of the Mean, Inverse Trigonometric
Functions, The Definite Integral, Space Vectors, Directional
Derivatives, and much, much more. Features: NEW to this edition:
the new Schaum's app and website! 1,105 problems solved step by
step 30 problem-solving videos online Outline format supplies a
concise guide to the standard college course in calculus Clear,
concise explanations covers all course fundamentals Hundreds of
additional practice problems Supports the major leading textbooks
in calculus Appropriate for the following courses: Calculus I,
Calculus II, Calculus III, AP Calculus, Precalculus
Statistical Thinking through Media Examples uses real-world
examples from various media to give students an introduction to
fundamentals of statistical thinking. Unlike many standard texts in
the discipline, the book focuses on conceptual understanding-the
meaning behind mathematical calculations rather than the
calculations themselves. The book presents a rigorous introduction
to statistical thinking, the necessary foundation for both the
discipline of statistics and data science. Written in accessible
language, the book begins by discussing the importance of learning
how to assess the quality of research results presented by the
media. This understanding creates an essential context for the
following chapters on questioning study design, including polls and
surveys. The remaining chapters explain the foundational
concepts-probability, reasoning with variation in data, confidence
intervals, hypothesis testing, and linear regression-through media
examples. Students also learn how hypothesis testing can be misused
and manipulated by researchers to provide a desired result. The
third edition features contemporary media examples and related
research findings on a variety of issues, including
hydroxychloroquine and COVID-19, the effectiveness of mask
recommendations, vaccine hesitancy and COVID-19, the inaccuracies
of poll projections in swing states during the 2020 election,
obesity and COVID-19, racial inequality, and climate change.
Statistical Thinking through Media Examples is an ideal primary
textbook for any course that deals with introductory statistics,
particularly those in the health and social sciences, journalism,
and business.
Data Science: Theory and Applications, Volume 44 in the Handbook of
Statistics series, highlights new advances in the field, with this
new volume presenting interesting chapters on a variety of
interesting topics, including Modeling extreme climatic events
using the generalized extreme value distribution, Bayesian Methods
in Data Science, Mathematical Modeling in Health Economic
Evaluations, Data Science in Cancer Genomics, Blockchain
Technology: Theory and Practice, Statistical outline of animal home
ranges, an application of set estimation, Application of Data
Handling Techniques to Predict Pavement Performance, Analysis of
individual treatment effects for enhanced inferences in medicine,
and more. Additional sections cover Nonparametric Data Science:
Testing Hypotheses in Large Complex Data, From Urban Mobility
Problems to Data Science Solutions, and Data Structures and
Artificial Intelligence Methods.
The Blockchain Technology for Secure and Smart Applications across
Industry Verticals, Volume 121, presents the latest information on
a type of distributed ledger used for maintaining a permanent and
tamper-proof record of transactional data. The book presents a
novel compendium of existing and budding Blockchain technologies
for various smart applications. Chapters in this new release
include the Basics of Blockchain, The Blockchain History,
Architecture of Blockchain, Core components of Blockchain,
Blockchain 2.0: Smart Contracts, Empowering Digital Twins with
Blockchain, Industrial Use Cases at the Cusp of the IoT and
Blockchain Paradigms, Blockchain Components and Concepts, Digital
Signatures, Accumulators, Financial Systems, and more. This book is
a unique effort to illuminate various techniques to represent,
improve and authorize multi-institutional and multidisciplinary
research in a different type of smart applications, like the
financial system, smart grid, transportation system, etc. Readers
in identity-privacy, traceability, immutability, transparency,
auditability, and security will find it to be a valuable resource.
The Handbook of Reliability, Maintenance, and System Safety through
Mathematical Modeling discusses the many factors affect reliability
and performance, including engineering design, materials,
manufacturing, operations, maintenance, and many more. Reliability
is one of the fundamental criteria in engineering systems design,
with maintenance serving as a way to support reliability throughout
a system's life. Addressing these issues requires information,
modeling, analysis and testing. Different techniques are proposed
and implemented to help readers analyze various behavior measures
(in terms of the functioning and performance) of systems.
AI and Cloud Computing, Volume 120 in the Advances in Computers
series, highlights new advances in the field, with this updated
volume presenting interesting chapters on topics including A
Deep-forest based Approach for Detecting Fraudulent Online
Transaction, Design of Cyber-Physical-Social Systems with
Forensic-awareness Based on Deep Learning, Review on
Privacy-preserving Data Comparison Protocols in Cloud Computing,
Fingerprint Liveness Detection Using an Improved CNN with the
Spatial Pyramid Pooling Structure, Protecting Personal Sensitive
Data Security in the Cloud with Blockchain, and more.
Reliability Analysis and Plans for Successive Testing: Start-up
Demonstration Tests and Applications discusses all past and recent
developments on start-up demonstration tests in the context of
current numerical and illustrative examples to clarify available
methods for distribution theorists and applied mathematicians
dealing with control problems. Throughout the book, the authors
focus on the panorama of open problems and issues of further
interest. As contemporary manufacturers face tremendous commercial
pressures to assemble works of high reliability, defined as 'the
probability of the product performing its role under the stated
conditions and over a specified period of time', this book helps
address testing issues.
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