40 Puzzles and Problems in Probability and Mathematical Statistics

40 Puzzles and Problems in Probability and Mathematical Statistics
Title 40 Puzzles and Problems in Probability and Mathematical Statistics PDF eBook
Author Wolf Schwarz
Publisher Springer Science & Business Media
Pages 124
Release 2007-11-25
Genre Mathematics
ISBN 0387735127

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This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.

Inside Mathematics: Probability and Statistics

Inside Mathematics: Probability and Statistics
Title Inside Mathematics: Probability and Statistics PDF eBook
Author Mike Goldsmith
Publisher
Pages 184
Release 2021-09
Genre
ISBN 9781627951449

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One of the hardest questions that mathematics teachers have to answer is "Why?" Schoolroom sums are crucial in learning the awesome power of mathematics, but they are often a world away from how the knowledge is applied and where it came from. Inside Mathematics: Probability & Statistics is there to fill that gap. What are the chances of that? Mathematics can solve that mystery for you using a set of ideas that grew out of an aristocratic gambler's bafflement at betting on complex dice games. In stepped the mathematical giants of Pierre de Fermat and Blaise Pascal, who worked together to create what is now called probability theory. Gamblers need not rejoice in this powerful theory; it shows that the casino always wins in the end. The ideas of probability have since found many better uses elsewhere. For example, they are at work in the mathematics that describes the quantum world and drives the push for artificial intelligence. The mathematics of chance is involved in understanding systems where a myriad data points combine. Statistics is the branch of mathematics that wrangles that data and tames it into meaningful knowledge. It then allows us to get ever better at modeling complex phenomena, from the formation of stars and the path of a hurricane to the rise and fall of the markets. Inside Mathematics: Probability & Statistics introduces the reader to these awesome mathematical powers by telling the stories of who figured them out. They include a cavalry officer hoping to reduce injuries from horse kicks, Charles Darwin's cousin who discovered that we make the best guesses when we work together, and computers that are built to program themselves. Written to engage and enthuse young people, Inside Mathematics shows readers how the ideas of long-dead geniuses have ended up in their homework assignments. Probability & Statistics: How Mathematics Can Predict the Future changes the question from "Why?" to "What's next?" Arranged chronologically to show how ideas in mathematics evolved.

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions
Title Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions PDF eBook
Author A. A. Sveshnikov
Publisher Courier Corporation
Pages 516
Release 2012-04-30
Genre Mathematics
ISBN 0486137562

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Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Examples and Problems in Mathematical Statistics

Examples and Problems in Mathematical Statistics
Title Examples and Problems in Mathematical Statistics PDF eBook
Author Shelemyahu Zacks
Publisher John Wiley & Sons
Pages 499
Release 2013-12-17
Genre Mathematics
ISBN 1118605837

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Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results. Written by an established authority in probability and mathematical statistics, each chapter begins with a theoretical presentation to introduce both the topic and the important results in an effort to aid in overall comprehension. Examples are then provided, followed by problems, and finally, solutions to some of the earlier problems. In addition, Examples and Problems in Mathematical Statistics features: Over 160 practical and interesting real-world examples from a variety of fields including engineering, mathematics, and statistics to help readers become proficient in theoretical problem solving More than 430 unique exercises with select solutions Key statistical inference topics, such as probability theory, statistical distributions, sufficient statistics, information in samples, testing statistical hypotheses, statistical estimation, confidence and tolerance intervals, large sample theory, and Bayesian analysis Recommended for graduate-level courses in probability and statistical inference, Examples and Problems in Mathematical Statistics is also an ideal reference for applied statisticians and researchers.

Probability and Mathematical Statistics

Probability and Mathematical Statistics
Title Probability and Mathematical Statistics PDF eBook
Author Eugene Lukacs
Publisher Academic Press
Pages 255
Release 2014-05-10
Genre Mathematics
ISBN 1483269205

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Probability and Mathematical Statistics: An Introduction provides a well-balanced first introduction to probability theory and mathematical statistics. This book is organized into two sections encompassing nine chapters. The first part deals with the concept and elementary properties of probability space, and random variables and their probability distributions. This part also considers the principles of limit theorems, the distribution of random variables, and the so-called student's distribution. The second part explores pertinent topics in mathematical statistics, including the concept of sampling, estimation, and hypotheses testing. This book is intended primarily for undergraduate statistics students.

Understanding Probability and Statistics

Understanding Probability and Statistics
Title Understanding Probability and Statistics PDF eBook
Author Ruma Falk
Publisher A K Peters/CRC Press
Pages 264
Release 1993-04-15
Genre Mathematics
ISBN

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Probability Through Problems

Probability Through Problems
Title Probability Through Problems PDF eBook
Author Marek Capinski
Publisher Springer Science & Business Media
Pages 262
Release 2013-06-29
Genre Mathematics
ISBN 0387216596

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This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.