Counterexamples in Probability And Statistics PDF Download
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Author: A.F. Siegel
Publisher: Routledge
ISBN: 1351457632
Category : Mathematics
Languages : en
Pages : 387
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Book Description
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 Several previously unpublished works are included.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: A.F. Siegel
Publisher: Routledge
ISBN: 1351457632
Category : Mathematics
Languages : en
Pages : 387
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Book Description
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 Several previously unpublished works are included.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
ISBN: 0486499987
Category : Education
Languages : en
Pages : 368
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Book Description
"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
ISBN: 9780195361308
Category : Mathematics
Languages : en
Pages : 224
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Book Description
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
ISBN: 9780471965381
Category : Mathematics
Languages : en
Pages : 0
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Book Description
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: Jordan M. Stoyanov
Publisher: Courier Corporation
ISBN: 0486315932
Category : Mathematics
Languages : en
Pages : 404
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Book Description
Most mathematical examples illustrate the truth of a statement; counterexamples demonstrate a statement's falsity. This third edition features the author's revisions and corrections plus a substantial new appendix. 2012 edition.
Author: A. A. Sveshnikov
Publisher: Courier Corporation
ISBN: 0486137562
Category : Mathematics
Languages : en
Pages : 512
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Book Description
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: A.F. Siegel
Publisher: Routledge
ISBN: 1351457640
Category : Mathematics
Languages : en
Pages : 328
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Book Description
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: Joseph P. Romano
Publisher:
ISBN: 9781315140421
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
Author: Michael A. Proschan
Publisher: CRC Press
ISBN: 1498704204
Category : Mathematics
Languages : en
Pages : 328
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Book Description
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: Bernard R. Gelbaum
Publisher: Courier Corporation
ISBN: 0486134911
Category : Mathematics
Languages : en
Pages : 224
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Book Description
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.