{"product_id":"discrete-probability-lecture-slide-notes-9781481282062","title":"Discrete Probability: Lecture Slide Notes","description":"\u003cp\u003e • Author(s): Ralph E. Morganstern\u003cbr\u003e • Publisher: Createspace Independent Publishing Platform\u003cbr\u003e • Publisher Imprint: Createspace Independent Publishing Platform\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThese 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.\u003c\/p\u003e","brand":"Createspace Independent Publishing Platform","offers":[{"title":"Paperback","offer_id":45508035903639,"sku":"9781481282062","price":1357.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781481282062.webp?v=1767459118","url":"https:\/\/atlanticbooks.com\/products\/discrete-probability-lecture-slide-notes-9781481282062","provider":"Atlantic Books","version":"1.0","type":"link"}