Discrete Probability - Lecture Slide Notes (Paperback)

These Lecture Slide Notes have been used for a two-quarter graduate level sequence in probability covering discrete and continuous probability in two separate volumes. Although reasonably self-contained, they do not constitute a formal exposition on the subject; rather the intent is to provide a concise and accessible format for reference and self-study. In this regard, each slide stands alone to encapsulate a complete concept, algorithm, or theorem, using a combination of equations, graphs, diagrams, and comparison tables. The explanatory notes are placed directly below each slide in order to reinforce key concepts and give additional insights. A Table of Contents serves to organize the slides by topic and gives a complete list of slide titles and their page numbers. An index is also provided in order to link related aspects of topics and also to cross-reference key concepts, specific applications, and the abundant visual aids. This book constitutes the first volume on discrete probability; a second volume will cover continuous probability. Part 1 covers counting with and without replacement, axiomatic probability models, computation techniques, conditional, joint, marginal, and Bayesian update probabilities. The concept of a random variable (RV) is fully characterized by a discrete probability mass function (PMF) and a quasi-continuous cumulative distribution function (CDF). A numerical characterization of a RV is given by the mean, variance, and expectation value. Pairs of RVs give way to new concepts such as independence, covariance, and the effects of linear and bi-linear transformations. Common discrete probability mass functions (PMFs) are discussed in terms of related pairs, tree diagrams, and algebraic representations.

General

Imprint:	Createspace Independent Publishing Platform
Country of origin:	United States
Series:	Probability Lecture Slide Notes, 1
Release date:	February 2013
First published:	February 2013
Authors:	Ralph E. Morganstern
Dimensions:	235 x 191 x 10mm (L x W x T)
Format:	Paperback - Trade
Pages:	178
ISBN-13:	978-1-4812-8206-2
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Promotions
LSN:	1-4812-8206-9
Barcode:	9781481282062

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