Introduction to probability

• Verfasst von: Blitzstein, Joseph K. [VerfasserIn]
• Verfasst von: Hwang, Jessica [VerfasserIn]
• Titel: Introduction to probability
• Verf.angabe: Joseph K. Blitzstein, Harvard University, Cambridge, Massachusetts; Jessica Hwang, Stanford University, Stanford, California
• Ausgabe: Second edition
• Verlagsort: Boca Raton ; London ; New York
• Verlag: CRC Press, Taylor & Francis Group
• E-Jahr: 2019
• Jahr: [2019]
• Umfang: XV, 619 Seiten
• Illustrationen: Diagramme
• Gesamttitel/Reihe: Texts in statistical science
• Gesamttitel/Reihe: A Chapman & Hall book
• Fussnoten: Includes bibliographic references and index
• ISBN: 978-1-138-36991-7
• Schlagwörter: (s)Wahrscheinlichkeitsrechnung
• Dokumenttyp: Lehrbuch
• Sprache: eng
• RVK-Notation: QH 170
• RVK-Notation: SK 800
• K10plus-PPN: 1664027211

Abstract

Probability and counting -- Conditional probability -- Random variables and their distributions -- Expectation -- Continuous random variables -- Moments -- Joint distributions -- Transformations -- Conditional expectation -- Inequalities and limit theorems -- Markov chains -- Markov chain Monte Carlo -- Poisson processes.

Abstract

"Undergraduate probability book that assumes one-semester of calculus. One key is the emphasis on "stories" for the probability distributions (which I mean in both an intuitive and technical sense): there are a dozen or so key distributions (Normal, Binomial, Poisson, etc.) that are incredibly widely-used in statistics, but a lot of books just write down formulas for them without explaining clearly why these particular distributions are so important, or how they are all connected. Each of these distributions has a "story" (a natural application where it arises), and thinking about stories makes the distributions easier to remember, understand, and work with."--