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Understanding Probability Models

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Release : 2020-03
Genre : Probabilities
Kind : eBook
Book Rating : 959/5 ( reviews)

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Book Synopsis Understanding Probability Models by : Carlos Narciso Bouza Herrera

Download or read book Understanding Probability Models written by Carlos Narciso Bouza Herrera. This book was released on 2020-03. Available in PDF, EPUB and Kindle. Book excerpt: This book intends to highlight how the Theory of Probability supports, not only statistical modeling but how it allows describing different real life phenomena. It gives clues for understanding the philosophic roots of probability and how they are present in different areas of knowledge. The readers may use the book as a source for understanding the philosophical development of probability concepts and of the intents to obtain mathematical models. The chapters deal with the understanding of how probability models are usable for determining: â¢A Probabilistic model of the best flight value for the design on paper of a helicopter â¢How to model the improvement of the behavior of water heating systems and of the reliability of systems â¢Models for determining the probability of non responses in inquiries and to evaluate the missing data. â¢The modeling of various problems related with the behavior of ordering models of use in decision rules and of general properties of Order Statistics. â¢A unified study of the probabilistic aspects of two Metaheuristics: Simulated Annealing and Tabu Search. â¢How to obtain the identification of econometric techniques for dealing efficiently with the study of economic growth models under endogeneity. This book will be of interest for biometricians, statisticians, economists, engineers dealing with control and reliability, as well for informaticians.

Understanding Probability

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Release : 2012-06-14
Genre : Mathematics
Kind : eBook
Book Rating : 076/5 ( reviews)

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Book Synopsis Understanding Probability by : Henk Tijms

Download or read book Understanding Probability written by Henk Tijms. This book was released on 2012-06-14. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third edition has been packed with even more exercises and examples and it includes new sections on Bayesian inference, Markov chain Monte-Carlo simulation, hitting probabilities in random walks and Brownian motion, and a new chapter on continuous-time Markov chains with applications. Here you will find all the material taught in an introductory probability course. The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus.

Introduction to Probability

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Release : 2021-11-24
Genre : Mathematics
Kind : eBook
Book Rating : 558/5 ( reviews)

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Book Synopsis Introduction to Probability by : Narayanaswamy Balakrishnan

Download or read book Introduction to Probability written by Narayanaswamy Balakrishnan. This book was released on 2021-11-24. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO PROBABILITY Discover practical models and real-world applications of multivariate models useful in engineering, business, and related disciplines In Introduction to Probability: Multivariate Models and Applications, a team of distinguished researchers delivers a comprehensive exploration of the concepts, methods, and results in multivariate distributions and models. Intended for use in a second course in probability, the material is largely self-contained, with some knowledge of basic probability theory and univariate distributions as the only prerequisite. This textbook is intended as the sequel to Introduction to Probability: Models and Applications. Each chapter begins with a brief historical account of some of the pioneers in probability who made significant contributions to the field. It goes on to describe and explain a critical concept or method in multivariate models and closes with two collections of exercises designed to test basic and advanced understanding of the theory. A wide range of topics are covered, including joint distributions for two or more random variables, independence of two or more variables, transformations of variables, covariance and correlation, a presentation of the most important multivariate distributions, generating functions and limit theorems. This important text: Includes classroom-tested problems and solutions to probability exercises Highlights real-world exercises designed to make clear the concepts presented Uses Mathematica software to illustrate the text’s computer exercises Features applications representing worldwide situations and processes Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress Perfect for students majoring in statistics, engineering, business, psychology, operations research and mathematics taking a second course in probability, Introduction to Probability: Multivariate Models and Applications is also an indispensable resource for anyone who is required to use multivariate distributions to model the uncertainty associated with random phenomena.

Probability Models

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Release : 2013-07-04
Genre : Mathematics
Kind : eBook
Book Rating : 43X/5 ( reviews)

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Book Synopsis Probability Models by : John Haigh

Download or read book Probability Models written by John Haigh. This book was released on 2013-07-04. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.

Introduction to Probability

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Release : 2008-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 23X/5 ( reviews)

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Book Synopsis Introduction to Probability by : Dimitri Bertsekas

Download or read book Introduction to Probability written by Dimitri Bertsekas. This book was released on 2008-07-01. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

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