Essentials of probability theory for statisticians / by Michael A. Proschan and Pamela A. Shaw
Material type: TextLanguage: English Series: Texts in statistical sciencePublisher: Boca Raton : CRC Press, Taylor & Francis Group, [2016]Description: xvi, 328 pages : illustrations ; 26 cmContent type:- text
- unmediated
- volume
- 9781498704199 (hbk. : acidfree paper)
- QA273 P94 2016
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 |
Browsing Ladislao N. Diwa Memorial Library shelves, Shelving location: Reserve Section, Collection: Non-fiction Close shelf browser (Hides shelf browser)
RUS QA273 D49 2004 Probability and statistics for engineering and the sciences / | RUS QA273 H27 1997 Probability and statistics / | RUS QA273 M42 2020 Probability and statistics for data science : math + R + data / | RUS QA273 P94 2016 Essentials of probability theory for statisticians / | RUS QA273 P941 2016 Probability theory / | RUS QA276 Ad9 1996 Adventures in statistics : automated homework system, version, 5.0. | RUS QA276 Ap5 1997 Application of computer aided time series modeling / |
"A Chapman & Hall book."
Includes bibliographical references and index.
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.
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