Counterexamples in Probability And Statistics

Counterexamples in Probability And Statistics
Author :
Publisher : Routledge
Total Pages : 336
Release :
ISBN-10 : 9781351457637
ISBN-13 : 1351457632
Rating : 4/5 (37 Downloads)

Synopsis Counterexamples in Probability And Statistics by : A.F. Siegel

This volume contains six early mathematical works, four papers on fiducial inference, five on transformations, and twenty-seven on a miscellany of topics in mathematical statistics. Several previously unpublished works are included.

Counterexamples in Probability

Counterexamples in Probability
Author :
Publisher : Courier Corporation
Total Pages : 404
Release :
ISBN-10 : 9780486499987
ISBN-13 : 0486499987
Rating : 4/5 (87 Downloads)

Synopsis Counterexamples in Probability by : Jordan M. Stoyanov

"While most mathematical examples illustrate the truth of a statement, counterexamples demonstrate a statement's falsity. Enjoyable topics of study, counterexamples are valuable tools for teaching and learning. The definitive book on the subject in regards to probability, this third edition features the author's revisions and corrections plus a substantial new appendix. 2013 edition"--

Counterexamples in Probability and Real Analysis

Counterexamples in Probability and Real Analysis
Author :
Publisher : Oxford University Press
Total Pages : 224
Release :
ISBN-10 : 9780195361308
ISBN-13 : 019536130X
Rating : 4/5 (08 Downloads)

Synopsis Counterexamples in Probability and Real Analysis by : Gary L. Wise

A counterexample is any example or result that is the opposite of one's intuition or to commonly held beliefs. Counterexamples can have great educational value in illuminating complex topics that are difficult to explain in a rigidly logical, written presentation. For example, ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of a counterexample. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis, which makes it unique among such treatments. The authors argue convincingly that probability theory cannot be separated from real analysis, and this book contains over 300 examples related to both the theory and application of mathematics. Many of the examples in this collection are new, and many old ones, previously buried in the literature, are now accessible for the first time. In contrast to several other collections, all of the examples in this book are completely self-contained--no details are passed off to obscure outside references. Students and theorists across fields as diverse as real analysis, probability, statistics, and engineering will want a copy of this book.

Counterexamples in Probability

Counterexamples in Probability
Author :
Publisher : Wiley
Total Pages : 0
Release :
ISBN-10 : 0471965383
ISBN-13 : 9780471965381
Rating : 4/5 (83 Downloads)

Synopsis Counterexamples in Probability by : Jordan M. Stoyanov

Counterexamples (in the mathematical sense) are powerful tools of mathematical theory. This book covers counterexamples from probability theory and stochastic processes. This new expanded edition includes many examples and the latest research results. The author is regarded as one of the foremost experts in the field. Contains numbers examples.

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

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions
Author :
Publisher : Courier Corporation
Total Pages : 516
Release :
ISBN-10 : 9780486137568
ISBN-13 : 0486137562
Rating : 4/5 (68 Downloads)

Synopsis Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by : A. A. Sveshnikov

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.

Counterexamples in Analysis

Counterexamples in Analysis
Author :
Publisher : Courier Corporation
Total Pages : 226
Release :
ISBN-10 : 9780486134918
ISBN-13 : 0486134911
Rating : 4/5 (18 Downloads)

Synopsis Counterexamples in Analysis by : Bernard R. Gelbaum

These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians
Author :
Publisher : CRC Press
Total Pages : 334
Release :
ISBN-10 : 9781498704205
ISBN-13 : 1498704204
Rating : 4/5 (05 Downloads)

Synopsis Essentials of Probability Theory for Statisticians by : Michael A. Proschan

Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.

High-Dimensional Probability

High-Dimensional Probability
Author :
Publisher : Cambridge University Press
Total Pages : 299
Release :
ISBN-10 : 9781108415194
ISBN-13 : 1108415199
Rating : 4/5 (94 Downloads)

Synopsis High-Dimensional Probability by : Roman Vershynin

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Probability

Probability
Author :
Publisher : Cambridge University Press
Total Pages :
Release :
ISBN-10 : 9781139491136
ISBN-13 : 113949113X
Rating : 4/5 (36 Downloads)

Synopsis Probability by : Rick Durrett

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Counterexamples in Measure and Integration

Counterexamples in Measure and Integration
Author :
Publisher : Cambridge University Press
Total Pages : 431
Release :
ISBN-10 : 9781009020398
ISBN-13 : 1009020390
Rating : 4/5 (98 Downloads)

Synopsis Counterexamples in Measure and Integration by : René L. Schilling

Often it is more instructive to know 'what can go wrong' and to understand 'why a result fails' than to plod through yet another piece of theory. In this text, the authors gather more than 300 counterexamples - some of them both surprising and amusing - showing the limitations, hidden traps and pitfalls of measure and integration. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading. The text starts with a self-contained, non-technical overview on the fundamentals of measure and integration. A companion to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring only modest prerequisites. More specialized concepts are summarized at the beginning of each chapter, allowing for self-study as well as supplementary reading for any course covering measures and integrals. For researchers, it provides ample examples and warnings as to the limitations of general measure theory. This book forms a sister volume to René Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).