Probability: Modeling and Applications to Random Processes

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9780471458920: Probability: Modeling and Applications to Random Processes
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Improve Your Probability of Mastering This Topic

This book takes an innovative approach to calculus-basedprobability theory, considering it within a framework for creatingmodels of random phenomena. The author focuses on the synthesis ofstochastic models concurrent with the development of distributiontheory while also introducing the reader to basic statisticalinference. In this way, the major stochastic processes are blendedwith coverage of probability laws, random variables, anddistribution theory, equipping the reader to be a true problemsolver and critical thinker.

Deliberately conversational in tone, Probability is written forstudents in junior- or senior-level probability courses majoring inmathematics, statistics, computer science, or engineering. The bookoffers a lucid and mathematicallysound introduction to howprobability is used to model random behavior in the natural world.The text contains the following chapters:
* Modeling
* Sets and Functions
* Probability Laws I: Building on the Axioms
* Probability Laws II: Results of Conditioning
* Random Variables and Stochastic Processes
* Discrete Random Variables and Applications in StochasticProcesses
* Continuous Random Variables and Applications in StochasticProcesses
* Covariance and Correlation Among Random Variables

Included exercises cover a wealth of additional concepts, such asconditional independence, Simpson's paradox, acceptance sampling,geometric probability, simulation, exponential families ofdistributions, Jensen's inequality, and many non-standardprobability distributions.

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About the Author:

GREGORY K. MILLER, PHD, is Associate Professor of Statistics in the Department of Mathematics and Statistics at Stephen F. Austin State University in Nacogdoches, Texas. He is a coauthor, with U. Narayan Bhat, of Elements of Applied Stochastic Processes, Third Edition (Wiley).

Review:

"Many instructors will find this book a useful adjunct to theircourses." (The American Statistician, August 2007)

"...a very pleasant and highly accessible textbook thatperfectly meets the goal...[of making] probability theoryaccessible without sacrificing mathematical accuracy."(Mathematical Reviews, 2007h)

"This book more than lives up to its ambitious title...canhold its own against any comparable text." (MAA Reviews,January 30, 2007)

"This book is very useful for scientists and for students whostudy mathematics, statistics, economics and engineering."(Zentralblatt MATH, 1105,52)

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Book Description John Wiley & Sons Inc, United States, 2006. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. Improve Your Probability of Mastering This Topic This book takes an innovative approach to calculus-based probability theory, considering it within a framework for creating models of random phenomena. The author focuses on the synthesis of stochastic models concurrent with the development of distribution theory while also introducing the reader to basic statistical inference. In this way, the major stochastic processes are blended with coverage of probability laws, random variables, and distribution theory, equipping the reader to be a true problem solver and critical thinker. Deliberately conversational in tone, Probability is written for students in junior- or senior-level probability courses majoring in mathematics, statistics, computer science, or engineering. The book offers a lucid and mathematicallysound introduction to how probability is used to model random behavior in the natural world.The text contains the following chapters: Modeling Sets and Functions Probability Laws I: Building on the Axioms Probability Laws II: Results of Conditioning Random Variables and Stochastic Processes Discrete Random Variables and Applications in Stochastic Processes Continuous Random Variables and Applications in Stochastic Processes Covariance and Correlation Among Random Variables Included exercises cover a wealth of additional concepts, such as conditional independence, Simpson's paradox, acceptance sampling, geometric probability, simulation, exponential families of distributions, Jensen's inequality, and many non-standard probability distributions. Seller Inventory # AAH9780471458920

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Book Description John Wiley Sons Inc, United States, 2006. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. Improve Your Probability of Mastering This Topic This book takes an innovative approach to calculus-based probability theory, considering it within a framework for creating models of random phenomena. The author focuses on the synthesis of stochastic models concurrent with the development of distribution theory while also introducing the reader to basic statistical inference. In this way, the major stochastic processes are blended with coverage of probability laws, random variables, and distribution theory, equipping the reader to be a true problem solver and critical thinker. Deliberately conversational in tone, Probability is written for students in junior- or senior-level probability courses majoring in mathematics, statistics, computer science, or engineering. The book offers a lucid and mathematicallysound introduction to how probability is used to model random behavior in the natural world. The text contains the following chapters: Modeling Sets and Functions Probability Laws I: Building on the Axioms Probability Laws II: Results of Conditioning Random Variables and Stochastic Processes Discrete Random Variables and Applications in Stochastic Processes Continuous Random Variables and Applications in Stochastic Processes Covariance and Correlation Among Random Variables Included exercises cover a wealth of additional concepts, such as conditional independence, Simpson s paradox, acceptance sampling, geometric probability, simulation, exponential families of distributions, Jensen s inequality, and many non-standard probability distributions. Seller Inventory # AAH9780471458920

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