Essentials of probability theory for statisticians / by Michael A. Proschan and Pamela A. Shaw

By:

Proschan, Michael A [author]

Contributor(s):

Shaw, Pamela [author]

Material type: Text

TextLanguage: English Series: Texts in statistical sciencePublisher: Boca Raton : CRC Press, Taylor & Francis Group, [2016]Description: xvi, 328 pages : illustrations ; 26 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9781498704199 (hbk. : acidfree paper)

Subject(s):

LOC classification:

QA273 P94 2016

Online resources:

View table of contents

Contents:

Introduction -- Size matters -- The elements of probability theory -- Random variable and vectors -- Random vectors -- Integration and expectation -- Modes of convergence -- Laws of large numbers -- Central limit theorems -- More on convergence in distribution -- Conditional probability and expectation -- Applications.

Summary: 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.

List(s) this item appears in: Print Books 2020 | Research References

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Holdings ( 1 )
Title notes ( 5 )

Holdings
Item type	Current library	Collection	Call number	Materials specified	Status	Notes	Date due	Barcode
Books	Ladislao N. Diwa Memorial Library Reserve Section	Non-fiction	RUS QA273 P94 2016 (Browse shelf(Opens below))		Room use only	76424		00076321

"A Chapman & Hall book."

Includes bibliographical references and index.

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.

Fund 164 F&J de Jesus, Inc. Purchased April 23, 2020 76424 NEJ PHP 7,394.00 2018-02-0161 2018-1-0101