Counterexamples In Probability And Statistics
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Author |
: A.F. Siegel |
Publisher |
: Routledge |
Total Pages |
: 336 |
Release |
: 2017-11-22 |
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 Several previously unpublished works are included.
Author |
: Jordan M. Stoyanov |
Publisher |
: Courier Corporation |
Total Pages |
: 404 |
Release |
: 2014-01-15 |
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"--
Author |
: Gary L. Wise |
Publisher |
: Oxford University Press |
Total Pages |
: 224 |
Release |
: 1993-10-07 |
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.
Author |
: Jordan M. Stoyanov |
Publisher |
: Wiley |
Total Pages |
: 0 |
Release |
: 1997-07-14 |
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.
Author |
: A. A. Sveshnikov |
Publisher |
: Courier Corporation |
Total Pages |
: 516 |
Release |
: 2012-04-30 |
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.
Author |
: Bernard R. Gelbaum |
Publisher |
: Courier Corporation |
Total Pages |
: 226 |
Release |
: 2012-07-12 |
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.
Author |
: Michael A. Proschan |
Publisher |
: CRC Press |
Total Pages |
: 334 |
Release |
: 2016-03-23 |
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.
Author |
: Roman Vershynin |
Publisher |
: Cambridge University Press |
Total Pages |
: 299 |
Release |
: 2018-09-27 |
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.
Author |
: Rick Durrett |
Publisher |
: Cambridge University Press |
Total Pages |
: |
Release |
: 2010-08-30 |
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.
Author |
: René L. Schilling |
Publisher |
: Cambridge University Press |
Total Pages |
: 431 |
Release |
: 2021-06-17 |
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).