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Introduction to Stochastic Processes with R

Detalles Bibliográficos
Autor principal: Dobrow, Robert P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2016.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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040 |a EBLCP  |b eng  |c EBLCP  |d OCLCQ  |d OCLCO  |d OCLCQ  |d EBLCP  |d OCLCQ  |d OCLCL  |d OCLCQ 
020 |a 9781118740705 
020 |a 111874070X 
035 |a (OCoLC)1347027226 
082 0 4 |a 519.2/302855133  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Dobrow, Robert P. 
245 1 0 |a Introduction to Stochastic Processes with R  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2016. 
300 |a 1 online resource (588 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- TITLE PAGE -- COPYRIGHT -- DEDICATION -- TABLE OF CONTENTS -- PREFACE -- ACKNOWLEDGMENTS -- LIST OF SYMBOLS AND NOTATION -- NOTATION CONVENTIONS -- ABBREVIATIONS -- ABOUT THE COMPANION WEBSITE -- CHAPTER 1: INTRODUCTION AND REVIEW -- 1.1 DETERMINISTIC AND STOCHASTIC MODELS -- 1.2 WHAT IS A STOCHASTIC PROCESS? -- 1.3 MONTE CARLO SIMULATION -- 1.4 CONDITIONAL PROBABILITY -- 1.5 CONDITIONAL EXPECTATION -- CHAPTER 2: MARKOV CHAINS: FIRST STEPS -- 2.1 INTRODUCTION -- 2.2 MARKOV CHAIN CORNUCOPIA -- 2.3 BASIC COMPUTATIONS -- 2.4 LONG-TERM BEHAVIOR-THE NUMERICAL EVIDENCE -- 2.5 SIMULATION 
505 8 |a 2.6 MATHEMATICAL INDUCTION* -- CHAPTER 3: MARKOV CHAINS FOR THE LONG TERM -- 3.1 LIMITING DISTRIBUTION -- 3.2 STATIONARY DISTRIBUTION -- 3.3 CAN YOU FIND THE WAY TO STATE a? -- 3.4 IRREDUCIBLE MARKOV CHAINS -- 3.5 PERIODICITY -- 3.6 ERGODIC MARKOV CHAINS -- 3.7 TIME REVERSIBILITY -- 3.8 ABSORBING CHAINS -- 3.9 REGENERATION AND THE STRONG MARKOV PROPERTY* -- 3.10 PROOFS OF LIMIT THEOREMS* -- CHAPTER 4: BRANCHING PROCESSES -- 4.1 INTRODUCTION -- 4.2 MEAN GENERATION SIZE -- 4.3 PROBABILITY GENERATING FUNCTIONS -- 4.4 EXTINCTION IS FOREVER -- CHAPTER 5: MARKOV CHAIN MONTE CARLO -- 5.1 INTRODUCTION 
505 8 |a 5.2 METROPOLIS-HASTINGS ALGORITHM -- 5.3 GIBBS SAMPLER -- 5.4 PERFECT SAMPLING* -- 5.5 RATE OF CONVERGENCE: THE EIGENVALUE CONNECTION* -- 5.6 CARD SHUFFLING AND TOTAL VARIATION DISTANCE* -- CHAPTER 6: POISSON PROCESS -- 6.1 INTRODUCTION -- 6.2 ARRIVAL, INTERARRIVAL TIMES -- 6.3 INFINITESIMAL PROBABILITIES -- 6.4 THINNING, SUPERPOSITION -- 6.5 UNIFORM DISTRIBUTION -- 6.6 SPATIAL POISSON PROCESS -- 6.7 NONHOMOGENEOUS POISSON PROCESS -- 6.8 PARTING PARADOX -- CHAPTER 7: CONTINUOUS-TIME MARKOV CHAINS -- 7.1 INTRODUCTION -- 7.2 ALARM CLOCKS AND TRANSITION RATES -- 7.3 INFINITESIMAL GENERATOR 
505 8 |a 7.4 LONG-TERM BEHAVIOR -- 7.5 TIME REVERSIBILITY -- 7.6 QUEUEING THEORY -- 7.7 POISSON SUBORDINATION -- CHAPTER 8: BROWNIAN MOTION -- 8.1 INTRODUCTION -- 8.2 BROWNIAN MOTION AND RANDOM WALK -- 8.3 GAUSSIAN PROCESS -- 8.4 TRANSFORMATIONS AND PROPERTIES -- 8.5 VARIATIONS AND APPLICATIONS -- 8.6 MARTINGALES -- CHAPTER 9: A GENTLE INTRODUCTION TO STOCHASTIC CALCULUS* -- 9.1 INTRODUCTION -- 9.2 ITO INTEGRAL -- 9.3 STOCHASTIC DIFFERENTIAL EQUATIONS -- APPENDIX A: GETTING STARTED WITH R -- APPENDIX B: PROBABILITY REVIEW -- B.1 DISCRETE RANDOM VARIABLES -- B.2 JOINT DISTRIBUTION 
505 8 |a B.3 CONTINUOUS RANDOM VARIABLES -- B.4 COMMON PROBABILITY DISTRIBUTIONS -- B.5 LIMIT THEOREMS -- B.6 MOMENT-GENERATING FUNCTIONS -- APPENDIX C: SUMMARY OF COMMON PROBABILITY DISTRIBUTIONS -- APPENDIX D: MATRIX ALGEBRA REVIEW -- D.1 BASIC OPERATIONS -- D.2 LINEAR SYSTEM -- D.3 MATRIX MULTIPLICATION -- D.4 DIAGONAL, IDENTITY MATRIX, POLYNOMIALS -- D.5 TRANSPOSE -- D.6 INVERTIBILITY -- D.7 BLOCK MATRICES -- D.8 LINEAR INDEPENDENCE AND SPAN -- D.9 BASIS -- D.10 VECTOR LENGTH -- D.11 ORTHOGONALITY -- D.12 EIGENVALUE, EIGENVECTOR -- D.13 DIAGONALIZATION -- ANSWERS TO SELECTED ODD-NUMBERED EXERCISES 
504 |a REFERENCES 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
758 |i has work:  |a Introduction to Stochastic Processes with R (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCXm3YdVk6tKJm9Qf7MCKxC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Dobrow, Robert P.  |t Introduction to Stochastic Processes with R  |d Newark : John Wiley & Sons, Incorporated,c2016  |z 9781118740712 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7104014  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7104014 
994 |a 92  |b IZTAP