{"product_id":"probability-and-statistics-with-reliability-queuing-and-computer-science-applications-a-wileyinterscience-publication-9780471333418","title":"Probability and Statistics with Reliability","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eRelates fundamental concepts in probability and statistics to the computer sciences and engineering. This book uses Markov chains and other statistical tools to illustrate processes in reliability of computer systems and networks, fault tolerance, and performance.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\"The book offers a comprehensive introduction to probability, stochastic processes, and statistics for students of computer science, electrical and computer engineering, and applied mathematics. Its wealth of practical examples and up-to-date information makes it an excellent resource for practitioners as well.\" (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2016)\u003c\/p\u003e \u003cp\u003e\"I highly recommend this book for academics for use as a textbook and for researchers and professionals in the field as a useful reference.\" (\u003ci\u003eInterfaces\u003c\/i\u003e, September\/ October 2004)\u003c\/p\u003e \u003cp\u003e\"This introduction...uses Markov chains and other statistical tools to illustrate process in reliability of computer systems, fault tolerance, and performance.\" (\u003ci\u003eSciTech Book News\u003c\/i\u003e, Vol. 26, No. 2, June 2002)\u003c\/p\u003e \u003cp\u003e\"...an excellent self-contained book.... I recommend the book to beginners and veterans in the field...\" (\u003ci\u003eComputer Journal\u003c\/i\u003e, Vol.45, No.6, 2002)\u003c\/p\u003e \u003cp\u003e\"This book is a tour de force of clear, virtually error-free exposition of probability as it is applied in a host of up-to-date contexts.... It will richly reward the...reader.... Read this book cover to cover. It’s worth the effort.\" (\u003ci\u003eTechnometrics\u003c\/i\u003e, Vol. 45, No. 1, February 2003)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface to the Second Edition ix\u003c\/p\u003e \u003cp\u003ePreface to the First Edition xi\u003c\/p\u003e \u003cp\u003eAcronyms xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Motivation 1\u003c\/p\u003e \u003cp\u003e1.2 Probability Models 2\u003c\/p\u003e \u003cp\u003e1.3 Sample Space 3\u003c\/p\u003e \u003cp\u003e1.4 Events 6\u003c\/p\u003e \u003cp\u003e1.5 Algebra of Events 7\u003c\/p\u003e \u003cp\u003e1.6 Graphical Methods of Representing Events 11\u003c\/p\u003e \u003cp\u003e1.7 Probability Axioms 13\u003c\/p\u003e \u003cp\u003e1.8 Combinatorial Problems 19\u003c\/p\u003e \u003cp\u003e1.9 Conditional Probability 23\u003c\/p\u003e \u003cp\u003e1.10 Independence of Events 25\u003c\/p\u003e \u003cp\u003e1.11 Bayes' Rule 38\u003c\/p\u003e \u003cp\u003e1.12 Bernoulli Trials 45\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Discrete Random Variables 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 61\u003c\/p\u003e \u003cp\u003e2.2 Random Variables and Their Event Spaces 62\u003c\/p\u003e \u003cp\u003e2.3 The Probability Mass Function 64\u003c\/p\u003e \u003cp\u003e2.4 Distribution Functions 66\u003c\/p\u003e \u003cp\u003e2.5 Special Discrete Distributions 68\u003c\/p\u003e \u003cp\u003e2.6 Analysis of Program MAX 92\u003c\/p\u003e \u003cp\u003e2.7 The Probability Generating Function 96\u003c\/p\u003e \u003cp\u003e2.8 Discrete Random Vectors 99\u003c\/p\u003e \u003cp\u003e2.9 Independent Random Variables 104\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Continuous Random Variables 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 115\u003c\/p\u003e \u003cp\u003e3.2 The Exponential Distribution 119\u003c\/p\u003e \u003cp\u003e3.3 The Reliability and Failure Rate 124\u003c\/p\u003e \u003cp\u003e3.4 Some Important Distributions 129\u003c\/p\u003e \u003cp\u003e3.5 Functions of a Random Variable 148\u003c\/p\u003e \u003cp\u003e3.6 Jointly Distributed Random Variables 153\u003c\/p\u003e \u003cp\u003e3.7 Order Statistics 157\u003c\/p\u003e \u003cp\u003e3.8 Distribution of Sums 167\u003c\/p\u003e \u003cp\u003e3.9 Functions of Normal Random Variables 182\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Expectation 193\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 193\u003c\/p\u003e \u003cp\u003e4.2 Moments 197\u003c\/p\u003e \u003cp\u003e4.3 Expectation Based on Multiple Random Variables 200\u003c\/p\u003e \u003cp\u003e4.4 Transform Methods 208\u003c\/p\u003e \u003cp\u003e4.5 Moments and Transforms of Some Distributions 217\u003c\/p\u003e \u003cp\u003e4.6 Computation of Mean Time to Failure 228\u003c\/p\u003e \u003cp\u003e4.7 Inequalities and Limit Theorems 237\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Conditional Distribution and Expectation 247\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 247\u003c\/p\u003e \u003cp\u003e5.2 Mixture Distributions 247\u003c\/p\u003e \u003cp\u003e5.3 Conditional Expectation 262\u003c\/p\u003e \u003cp\u003e5.4 Impefect Fault Coverage and Reliability 268\u003c\/p\u003e \u003cp\u003e5.5 Random Sums 279\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Stochastic Processes 289\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 289\u003c\/p\u003e \u003cp\u003e6.2 Classification of Stochastic Processes 294\u003c\/p\u003e \u003cp\u003e6.3 The Bernoulli Process 300\u003c\/p\u003e \u003cp\u003e6.4 The Poisson Process 304\u003c\/p\u003e \u003cp\u003e6.5 Renewal Processes 314\u003c\/p\u003e \u003cp\u003e6.6 Availability Analysis 319\u003c\/p\u003e \u003cp\u003e6.7 Random Incidence 328\u003c\/p\u003e \u003cp\u003e6.8 Renewal Model of Program Behavior 332\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Discrete-Time Markov Chains 337\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 337\u003c\/p\u003e \u003cp\u003e7.2 Computation of \u003ci\u003en\u003c\/i\u003e-step Transition Probabilities 341\u003c\/p\u003e \u003cp\u003e7.3 State Classification and Limiting Probabilities 347\u003c\/p\u003e \u003cp\u003e7.4 Distribution of Times Between State Changes 356\u003c\/p\u003e \u003cp\u003e7.5 Markov Modulated Bernoulli Process 358\u003c\/p\u003e \u003cp\u003e7.6 Irreducible Finite Chains with Aperiodic States 361\u003c\/p\u003e \u003cp\u003e7.7 * The \u003ci\u003eM\/G\u003c\/i\u003e\/1 Queuing System 377\u003c\/p\u003e \u003cp\u003e7.8 Discrete-Time Birth-Death Processes 385\u003c\/p\u003e \u003cp\u003e7.9 Finite Markov Chains with Absorbing States 392\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Continuous-Time Markov Chains 405\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 405\u003c\/p\u003e \u003cp\u003e8.2 The Birth- Death Process 412\u003c\/p\u003e \u003cp\u003e8.3 Other Special Cases of the Birth-Death Model 446\u003c\/p\u003e \u003cp\u003e8.4 Non-Birth-Death Processes 454\u003c\/p\u003e \u003cp\u003e8.5 Markov Chains with Absorbing States 496\u003c\/p\u003e \u003cp\u003e8.6 Solution Techniques 520\u003c\/p\u003e \u003cp\u003e8.7 Automated Generation 530\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Networks of Queues 555\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 555\u003c\/p\u003e \u003cp\u003e9.2 Open Queuing Networks 560\u003c\/p\u003e \u003cp\u003e9.3 Closed Queuing Networks 568\u003c\/p\u003e \u003cp\u003e9.4 General Service Distribution and Multiple Job Types 596\u003c\/p\u003e \u003cp\u003e9.5 Non-product-form Networks 604\u003c\/p\u003e \u003cp\u003e9.6 Computing Response Time Distribution 617\u003c\/p\u003e \u003cp\u003e9.7 Summary 630\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Statistical Inference 637\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 637\u003c\/p\u003e \u003cp\u003e10.2 Parameter Estimation 639\u003c\/p\u003e \u003cp\u003e10.3 Hypothesis Testing 692\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Regression and Analysis of Variance 727\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 727\u003c\/p\u003e \u003cp\u003e11.2 Least-squares Curve Fitting 732\u003c\/p\u003e \u003cp\u003e11.3 The Coefficients of Determination 735\u003c\/p\u003e \u003cp\u003e11.4 Confidence Intervals in Linear Regression 738\u003c\/p\u003e \u003cp\u003e11.5 Trend Detection and Slope Estimation 742\u003c\/p\u003e \u003cp\u003e11.6 Correlation Analysis 745\u003c\/p\u003e \u003cp\u003e11. 7 Simple Nonlinear Regression 748\u003c\/p\u003e \u003cp\u003e11.8 Higher-dimensional Least-squares Fit 749\u003c\/p\u003e \u003cp\u003e11.9 Analysis of Variance 751\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Bibliography 765\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Theory 765\u003c\/p\u003e \u003cp\u003eA.2 Applications 770\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Properties of Distributions 777\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eC Statistical Tables 780\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eD Laplace Transforms 801 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eE Program Performance Analysis 808 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAuthor Index 811\u003c\/p\u003e \u003cp\u003eSubject Index 819\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402567688535,"sku":"9780471333418","price":152.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471333418.jpg?v=1730480785","url":"https:\/\/bookcurl.com\/products\/probability-and-statistics-with-reliability-queuing-and-computer-science-applications-a-wileyinterscience-publication-9780471333418","provider":"Book Curl","version":"1.0","type":"link"}