{"product_id":"markov-chains-9781119387558","title":"Markov Chains","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA fascinating and instructive guide to Markov chains for experienced users and newcomers alike    This unique guide to Markov chains approaches the subject along the four convergent lines of mathematics, implementation, simulation, and experimentation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAbstract ix\u003c\/p\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eAcknowledgments xiii\u003c\/p\u003e \u003cp\u003eAbout the CompanionWebsite xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Historical Notes 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 On theWings of Dependent Variables 2\u003c\/p\u003e \u003cp\u003e1.3 From Bernoulli to Markov 5\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 FromObservation to Simulation 9\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 9\u003c\/p\u003e \u003cp\u003e2.2 Stochastic Matrices 9\u003c\/p\u003e \u003cp\u003e2.3 Transition Probabilities 11\u003c\/p\u003e \u003cp\u003e2.4 The Simulation of a Two-State Markov Chain 14\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Building the Stochastic Matrix 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 25\u003c\/p\u003e \u003cp\u003e3.2 Building a Stochastic Matrix from Events 25\u003c\/p\u003e \u003cp\u003e3.3 Building a Stochastic Matrix from Percentages 32\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Predictions Using Two-State Markov Chains 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 37\u003c\/p\u003e \u003cp\u003e4.2 Performing the Predictions by Using the Stochastic Matrix 37\u003c\/p\u003e \u003cp\u003e4.3 The Steady State of a Markov Chain 46\u003c\/p\u003e \u003cp\u003e4.4 The Long-Run Distribution of a Markov Chain 55\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Predictions Using n-State Markov Chains 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 61\u003c\/p\u003e \u003cp\u003e5.2 Predictions by Using the Three-State Markov Chain 61\u003c\/p\u003e \u003cp\u003e5.3 Predictions by Using the Four-State Markov Chain 71\u003c\/p\u003e \u003cp\u003e5.4 Predictions by Using n-State Markov Chains 80\u003c\/p\u003e \u003cp\u003e5.5 Markov Chain Modeling on Measurements 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 AbsorbingMarkov Chains 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 93\u003c\/p\u003e \u003cp\u003e6.2 The Absorbing State 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 The Average Time Spent in Each State 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 99\u003c\/p\u003e \u003cp\u003e7.2 The Proportion of Balls in the System 99\u003c\/p\u003e \u003cp\u003e7.3 The Average Time Spent in A Particular State 100\u003c\/p\u003e \u003cp\u003e7.4 Exemplification of the Average Time and Proportions 101\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Discussions on Different Configurations of Chains 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 107\u003c\/p\u003e \u003cp\u003e8.2 Examples of Two-State Diagrams 113\u003c\/p\u003e \u003cp\u003e8.3 Examples of Three-State Diagrams 115\u003c\/p\u003e \u003cp\u003e8.4 Examples of Four-State Diagrams 117\u003c\/p\u003e \u003cp\u003e8.5 Examples of State Diagrams Divided into Classes 123\u003c\/p\u003e \u003cp\u003e8.6 Examples of State Diagrams with Absorbing States 127\u003c\/p\u003e \u003cp\u003e8.7 The Gambler’s Ruin 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 The Simulation of an n-State Markov Chain 131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 131\u003c\/p\u003e \u003cp\u003e9.2 The Simulation of Behavior 131\u003c\/p\u003e \u003cp\u003e9.3 Simulation of Different Chain Configurations 145\u003c\/p\u003e \u003cp\u003eA Supporting Algorithms in PHP 165\u003c\/p\u003e \u003cp\u003eB Supporting Algorithms in Javascript 193\u003c\/p\u003e \u003cp\u003eC Syntax Equivalence between Languages 223\u003c\/p\u003e \u003cp\u003eGlossary 225\u003c\/p\u003e \u003cp\u003eReferences 227\u003c\/p\u003e \u003cp\u003eIndex 231\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407043961175,"sku":"9781119387558","price":98.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119387558.jpg?v=1730497983","url":"https:\/\/bookcurl.com\/products\/markov-chains-9781119387558","provider":"Book Curl","version":"1.0","type":"link"}