In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation in basic probability theory designed for intellectually curious readers and those new to the subject. Through its conversational tone and careful pacing of mathematical development, the book balances a charming style with informative discussion. This text will immerse the reader in a mathematical view of the world, giving them a glimpse into what attracts mathematicians to the subject in the first place. Rather than simply writing out and memorizing formulas, the reader will come out with an understanding of what those formulas mean, and how and when to use them. Readers will also encounter settings where probabilistic reasoning does not apply or where intuition can be misleading. This book establishes simple principles of counting collections and sequences of alternatives, and elaborates on these techniques to solve real world problems both inside and outside the casino. Pair this book with the HarvardX online course for great videos and interactive learning: https://harvardx.link/fat-chance.

This edition sets out recent developments in East Asian local currency bond markets and discusses the region's economic outlook, the risk of another taper tantrum, and price differences between labeled and unlabeled green bonds. Emerging East Asia's local currency (LCY) bond markets expanded to an aggregate USD21.7 trillion at the end of September 2021, posting growth of 3.4% quarter-on-quarter, up from 2.9% in the previous quarter. LCY bond issuance rose 6.8% quarter-on-quarter to USD2.4 trillion in Q3 2021. Sustainable bond markets in ASEAN+3 also continued to expand to reach a size of USD388.7 billion at the end of September.

Random set theory is a fascinating branch of mathematics that amalgamates techniques from topology, convex geometry, and probability theory. Social scientists routinely conduct empirical work with data and modelling assumptions that reveal a set to which the parameter of interest belongs, but not its exact value. Random set theory provides a coherent mathematical framework to conduct identification analysis and statistical inference in this setting and has become a fundamental tool in econometrics and finance. This is the first book dedicated to the use of the theory in econometrics, written to be accessible for readers without a background in pure mathematics. Molchanov and Molinari define the basics of the theory and illustrate the mathematical concepts by their application in the analysis of econometric models. The book includes sets of exercises to accompany each chapter as well as examples to help readers apply the theory effectively.

This well-balanced introduction to enterprise risk management integrates quantitative and qualitative approaches and motivates key mathematical and statistical methods with abundant real-world cases - both successes and failures. Worked examples and end-of-chapter exercises support readers in consolidating what they learn. The mathematical level, which is suitable for graduate and senior undergraduate students in quantitative programs, is pitched to give readers a solid understanding of the concepts and principles involved, without diving too deeply into more complex theory. To reveal the connections between different topics, and their relevance to the real world, the presentation has a coherent narrative flow, from risk governance, through risk identification, risk modelling, and risk mitigation, capped off with holistic topics - regulation, behavioural biases, and crisis management - that influence the whole structure of ERM. The result is a text and reference that is ideal for graduate and senior undergraduate students, risk managers in industry, and anyone preparing for ERM actuarial exams.

The ideal review for your statistics and econometrics course

More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice. Clear, concise explanations of all statistics and econometrics concepts Appropriate for the following courses: Statistics and Econometrics, Statistical Methods in Economics, Quantitative Methods in Economics, Mathematical Economics, Micro-Economics, Macro-Economics, Math for Economists, Math for Social Sciences

The demand for high quality detailed public finance statistics covering a globally representative sample of countries has increased dramatically during the recent financial crisis. Due to the complexity of public finance statistics, however, such data tend to be either available in oversimplified high level aggregates and lacking in methodological transparency, or, available with a great level of detail and a unified methodological approach yet overly complicated to understand. The IMF's Government Finance Statistics Yearbook shows fiscal data of around 140 countries following the Government Finance Statistics Manual 2001 framework. The associated database includes data series covering over an almost 40 year period. The IMF's Statistics Department embarked on several initiatives to improve its accessibility

Employers Can Reduce Their Employees' Health Care Costs by Thinking Out of The BoxEmployee health care costs have skyrocketed, especially for small business owners. But employers have options that medical entrepreneurs have crafted to provide all businesses with plans to improve their employees' wellness and reduce their costs. Thus, the cost of employee health care benefits can be reduced markedly by choosing one of numerous alternatives to traditional indemnity policies. The Finance of Health Care provides business decision makers with the information they need to match the optimal health care plan with the culture of their workforce. This book is a must guide for corporate executives and entrepreneurs who want to attract-and keep--the best employees in our competitive economy.

Volume 27 of the International Symposia in Economic Theory and Econometrics series collects a range of unique and diverse chapters, each investigating different spheres of development in emerging markets with a specific focus on significant engines of growth and advancement in the Asia-Pacific economies. Looking at the most sensitive issues behind economic growth in emerging markets, and particularly their long-term prospects, the chapters included in this volume explore the newest fields of research to understand the potential of these markets better. Including chapters from leading scholars worldwide, the volume provides comprehensive coverage of the key topics in fields spanning SMEs, terrorism, manufacturing waste reduction, financial literacy, female empowerment, leadership and corporate management, and the relationship between environmental, social, governance, and firm value. For students, researchers and practitioners, this volume offers a dynamic reference resource on emerging markets across a diverse range of topics.

In a time of changing technology and cultural shifts, it is difficult to measure some aspects of the workforce. Education and the American Workforce brings together a comprehensive collection of employment and education information from federal statistical agencies. The Census Bureau is the leading source of quality data about the nation's people and economy. The Bureau of Labor Statistics (BLS) is the principal federal agency responsible for measuring labor market activity, working conditions, and price changes in the economy. Together, these agencies produce a wealth of information about the American workforce. This book includes information about the jobs that people hold, the occupations that they pursue, the industries where they work, and the education levels that people have attained. In addition to tables, each section also includes relevant figures and highlights of notable data. Some examples of interesting data found inside Education and the American Workforce include: *With no formal educational requirement and a median salary of $22,680, 4.5 million people are employed as retail salespersons, the most of any single occupation. Cashiers and food preparation/serving workers account for another 3.5 million each. There are 2.9 million registered nurses, the most numerous of occupations that require a bachelor's degree. *The biggest numeric decline is expected for Postal Service mail carriers, dropping by about 78,000 in ten years. When combined with other Postal Service occupations-such as clerks, sorters, postmasters, and others-a decline of 140,000 jobs is expected for the Postal Service. *Among the 75 largest counties, Bronx County, NY had the highest number of residents age 25 and over with less than a high school diploma at 29.4 percent while Montgomery County, PA had the lowest percentage at 6.2 percent. *Meanwhile, New York County, NY and Fairfax County, VA had the highest percentage of residents with a bachelor's degree or higher at 59.9 percent followed by Montgomery County, MD at 57.9 percent among the 75 largest counties. Nationally, between 2011 and 2015, 29.8 percent of the population had a bachelor's degree or higher.

Das Buch bietet eine umfassende Einfuhrung in die Statistik. Die Autoren liefern eine integrierte Darstellung der deskriptiven Statistik, der modernen Methoden der explorativen Datenanalyse und der induktiven Statistik, einschliesslich der Regressions- und Varianzanalyse. Zahlreiche Beispiele mit realen Daten veranschaulichen den Text. Geeignet als vorlesungsbegleitender Text, aber auch zum Selbststudium fur Studierende der Wirtschafts- und Sozialwissenschaften sowie anderer Anwendungsdisziplinen und als Einfuhrung fur Studenten der Statistik.

This third edition of Braun and Murdoch's bestselling textbook now includes discussion of the use and design principles of the tidyverse packages in R, including expanded coverage of ggplot2, and R Markdown. The expanded simulation chapter introduces the Box-Muller and Metropolis-Hastings algorithms. New examples and exercises have been added throughout. This is the only introduction you'll need to start programming in R, the computing standard for analyzing data. This book comes with real R code that teaches the standards of the language. Unlike other introductory books on the R system, this book emphasizes portable programming skills that apply to most computing languages and techniques used to develop more complex projects. Solutions, datasets, and any errata are available from www.statprogr.science. Worked examples - from real applications - hundreds of exercises, and downloadable code, datasets, and solutions make a complete package for anyone working in or learning practical data science.

The State and Metropolitan Area Data Book is the continuation of the U.S. Census Bureau's discontinued publication. It is a convenient summary of statistics on the social and economic structure of the states, metropolitan areas, and micropolitan areas in the United States. It is designed to serve as a statistical reference and guide to other data publications and sources. This new edition features more than 1,500 data items from a variety of sources. It covers many key topical areas including population, birth and death rates, health coverage, school enrollment, crime rates, income and housing, employment, transportation, and government. The metropolitan area information is based on the latest set of definitions of metropolitan and micropolitan areas including: a complete listing and data for all states, metropolitan areas, including micropolitan areas, and their component counties 2010 census counts and more recent population estimates for all areas results of the 2016 national and state elections expanded vital statistics, communication, and criminal justice data data on migration and commuting habits American Community Survey 1- and 3-year estimates data on health insurance and housing and finance matters accurate and helpful citations to allow the user to directly consult the source source notes and explanations A guide to state statistical abstracts and state information Economic development officials, regional planners, urban researchers, college students, and data users can easily see the trends and changes affecting the nation today.

The substantially updated third edition of the popular Actuarial Mathematics for Life Contingent Risks is suitable for advanced undergraduate and graduate students of actuarial science, for trainee actuaries preparing for professional actuarial examinations, and for life insurance practitioners who wish to increase or update their technical knowledge. The authors provide intuitive explanations alongside mathematical theory, equipping readers to understand the material in sufficient depth to apply it in real-world situations and to adapt their results in a changing insurance environment. Topics include modern actuarial paradigms, such as multiple state models, cash-flow projection methods and option theory, all of which are required for managing the increasingly complex range of contemporary long-term insurance products. Numerous exam-style questions allow readers to prepare for traditional professional actuarial exams, and extensive use of Excel ensures that readers are ready for modern, Excel-based exams and for the actuarial work environment. The Solutions Manual (ISBN 9781108747615), available for separate purchase, provides detailed solutions to the text's exercises.

The papers in this volume analyze the deployment of Big Data to solve both existing and novel challenges in economic measurement. The existing infrastructure for the production of key economic statistics relies heavily on data collected through sample surveys and periodic censuses, together with administrative records generated in connection with tax administration. The increasing difficulty of obtaining survey and census responses threatens the viability of existing data collection approaches. The growing availability of new sources of Big Data-such as scanner data on purchases, credit card transaction records, payroll information, and prices of various goods scraped from the websites of online sellers-has changed the data landscape. These new sources of data hold the promise of allowing the statistical agencies to produce more accurate, more disaggregated, and more timely economic data to meet the needs of policymakers and other data users. This volume documents progress made toward that goal and the challenges to be overcome to realize the full potential of Big Data in the production of economic statistics. It describes the deployment of Big Data to solve both existing and novel challenges in economic measurement, and it will be of interest to statistical agency staff, academic researchers, and serious users of economic statistics.

Recent years have witnessed an explosion in the volume and variety of data collected in all scientific disciplines and industrial settings. Such massive data sets present a number of challenges to researchers in statistics and machine learning. This book provides a self-contained introduction to the area of high-dimensional statistics, aimed at the first-year graduate level. It includes chapters that are focused on core methodology and theory - including tail bounds, concentration inequalities, uniform laws and empirical process, and random matrices - as well as chapters devoted to in-depth exploration of particular model classes - including sparse linear models, matrix models with rank constraints, graphical models, and various types of non-parametric models. With hundreds of worked examples and exercises, this text is intended both for courses and for self-study by graduate students and researchers in statistics, machine learning, and related fields who must understand, apply, and adapt modern statistical methods suited to large-scale data.

An typischen und realitatsnahen Beispielen aus der Wirtschaftspraxis zeigt dieses "Statistik-Praktikum", wie man grundlegende statistische Analysen mit einem gangigen Werkzeug unterstutzt. Dies mit dem Ziel, aus den zu dem Thema verfugbaren Daten Informationen zu gewinnen, die im Sach- bzw. Entscheidungszusammenhang sinn- und wertvoll sind. Dabei ist der numerische Veredelungsprozess durch statistische Analysen in der Praxis nur der Kern eines umfangreicheren Transferprozesses, der erganzend noch UEbersetzungen, Interpretationen und Bewertungen erfordert. Das Statistik-Praktikum deckt systematisch und schrittweise stets den vollstandigen Transferprozess ab, beginnend mit der "UEbersetzung" des Business-Falls in statistische Aufgabenstellungen bis hin zur abschliessenden Wurdigung der verwendeten Ansatze und Ergebnisse. So lernt man, statistische Analysen selbstandig und erfolgreich durchzufuhren sowie Ansatze und Ergebnisse kompetent zu vertreten. Microsoft Excel wird dabei als Werkzeug genutzt, jedoch nicht exzessiv in seinen Funktionalitaten ausgereizt. Die zweite Auflage wurde uberarbeitet und erganzt. Die Themengebiete "Konzentrationsanalysen" und "Finanzstatistik" wurden neu aufgenommen. Alle Inhalte wurden fur Excel 2013 aktualisiert.

An Introduction to Machine Learning in Finance, With Mathematical Background, Data Visualization, and R Nonparametric function estimation is an important part of machine learning, which is becoming increasingly important in quantitative finance. Nonparametric Finance provides graduate students and finance professionals with a foundation in nonparametric function estimation and the underlying mathematics. Combining practical applications, mathematically rigorous presentation, and statistical data analysis into a single volume, this book presents detailed instruction in discrete chapters that allow readers to dip in as needed without reading from beginning to end. Coverage includes statistical finance, risk management, portfolio management, and securities pricing to provide a practical knowledge base, and the introductory chapter introduces basic finance concepts for readers with a strictly mathematical background. Economic significance is emphasized over statistical significance throughout, and R code is provided to help readers reproduce the research, computations, and figures being discussed. Strong graphical content clarifies the methods and demonstrates essential visualization techniques, while deep mathematical and statistical insight backs up practical applications. Written for the leading edge of finance, Nonparametric Finance: - Introduces basic statistical finance concepts, including univariate and multivariate data analysis, time series analysis, and prediction - Provides risk management guidance through volatility prediction, quantiles, and value-at-risk - Examines portfolio theory, performance measurement, Markowitz portfolios, dynamic portfolio selection, and more - Discusses fundamental theorems of asset pricing, Black-Scholes pricing and hedging, quadratic pricing and hedging, option portfolios, interest rate derivatives, and other asset pricing principles - Provides supplementary R code and numerous graphics to reinforce complex content Nonparametric function estimation has received little attention in the context of risk management and option pricing, despite its useful applications and benefits. This book provides the essential background and practical knowledge needed to take full advantage of these little-used methods, and turn them into real-world advantage. Jussi Klemela, PhD, is Adjunct Professor at the University of Oulu. His research interests include nonparametric function estimation, density estimation, and data visualization. He is the author of Smoothing of Multivariate Data: Density Estimation and Visualization and Multivariate Nonparametric Regression and Visualization: With R and Applications to Finance.

In this best-of-breed study guide, leading expert Michael Gregg helps you master all the topics you need to know to succeed on your Certified Ethical Hacker Version 9 exam and advance your career in IT security. Michael's concise, focused approach explains every exam objective from a real-world perspective, helping you quickly identify weaknesses and retain everything you need to know. * Every feature of this book supports both efficient exam preparation and long-term mastery: * Opening Topics Lists identify the topics you need to learn in each chapter and list EC-Council's official exam objectives * Key Topics figures, tables, and lists call attention to the information that's most crucial for exam success * Exam Preparation Tasks enable you to review key topics, complete memory tables, define key terms, work through scenarios, and answer review questions...going beyond mere facts to master the concepts that are crucial to passing the exam and enhancing your career * Key Terms are listed in each chapter and defined in a complete glossary, explaining all the field's essential terminology This study guide helps you master all the topics on the latest CEH exam, including * Ethical hacking basics * Technical foundations of hacking * Footprinting and scanning * Enumeration and system hacking * Linux distro's, such as Kali and automated assessment tools * Trojans and backdoors * Sniffers, session hijacking, and denial of service * Web server hacking, web applications, and database attacks * Wireless technologies, mobile security, and mobile attacks * IDS, firewalls, and honeypots * Buffer overflows, viruses, and worms * Cryptographic attacks and defenses * Cloud security and social engineering

This publication shows detailed national accounts estimates for over 200 countries and areas for the reporting years 2008 to 2019. National data for each country and area are presented in separate chapters using uniform table headings and classifications recommended in the United Nations System of National Accounts (SNA). A summary of the conceptual framework of the SNA and definitions of important terms are also included in this publication. Other statistical information covered includes gross domestic product, national income, savings, private and government consumption, and transactions of institutional sector

Global current account balances-the overall size of current account deficits and surpluses-continued to widen in 2021 to 3.5 percent of world GDP, and are expected to widen again this year. The IMF's multilateral approach suggests that global excess balances narrowed to 0.9 percent of world GDP in 2021 compared with 1.2 percent of world GDP in 2020. The pandemic has continued to affect economies' current account balances unevenly through the travel and transportation sectors as well as a shift from services to goods consumption. Commodity prices recovered from the COVID-19 shock and started rising in 2021 with opposite effects on the external position of exporters and importers, a trend that the war in Ukraine is exacerbating in 2022. The medium-term outlook for global current account balances is a gradual narrowing as the impact of the pandemic fades away, commodity prices normalize, and fiscal consolidation in current account deficit economies progresses. However, this outlook is highly uncertain and subject to several risks. Policies to promote external rebalancing differ with positions and needs of individual economies.

Build valuable skills that are in high demand in today's businesses with BUSINESS ANALYTICS, 3E. You master the full range of analytics as you strengthen your descriptive, predictive and prescriptive analytic skills. Real-world examples and visuals help illustrate data and results for each topic. Clear, step-by-step instructions for various software programs, including Microsoft Excel, Analytic Solver, and JMP Pro, teach you how to perform the analyses discussed. Practical, relevant problems at all levels of difficulty further help you apply what you've learned to succeed in your course.