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|a UAMI
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|a Tan, W. Y.,
|d 1934-
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|a Stochastic models with applications to genetics, cancers, AIDS, and other biomedical systems /
|c by Wai-Yuan Tan.
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| 250 |
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|a 2nd edition.
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| 264 |
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1 |
|a New Jersey :
|b World Scientific,
|c 2015.
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| 300 |
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|a 1 online resource
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
0 |
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|a Series on concrete and applicable mathematics ;
|v volume 19
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| 504 |
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|a Includes bibliographical references and index.
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|a Print version record.
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|a Preface; 1 Introduction; 1.1. Some Basic Concepts of Stochastic Processes and Examples; 1.2. Markovian and Non-Markovian Processes, Markov Chains and Examples; 1.3. Diffusion Processes and Examples; 1.4. State Space Models and Hidden Markov Models; 1.5. The Scope of the Book; 1.6. Complements and Exercises; References; 2 Discrete Time Markov Chain Models in Genetics and Biomedical Systems; 2.1. Examples from Genetics and AIDS; 2.2. The Transition Probabilities and Computation; 2.3. The Structure and Decomposition of Markov Chains.
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|a 2.4. Classification of States and the Dynamic Behavior of Markov Chains2.5. The Absorption Probabilities of Transient States; 2.5.1. The case when CT is finite; 2.5.2. The case when CT is infinite; 2.6. The Moments of First Absorption Times; 2.6.1. The case when CT is finite; 2.7. Some Illustrative Examples; 2.8. Finite Markov Chains; 2.8.1. The canonical form of transition matrix; 2.8.2. Absorption probabilities of transient states in finite Markov chains; 2.9. Stochastic Difference Equation for Markov Chains With Discrete Time; 2.9.1. Stochastic difference equations for finite Markov chains.
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|a 2.9.2. Markov chains in the HIV epidemic in homosexual or IV drug user populations2.10.Complements and Exercises; 2.11. Appendix; 2.11.1. The Hardy-Weinberg law in population genetics; 2.11.1.1. The Hardy-Weinberg law for a single locus in diploid populations; 2.11.1.2. The Hardy-Weinberg law for linked loci in diploid populations; 2.11.2. The inbreeding mating systems; 2.11.3. Some mathematical methods for computing An, the nth power of a square matrix A; References; 3 Stationary Distributions and MCMC in Discrete Time Markov Chains; 3.1. Introduction.
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|a 3.2. The Ergodic States and Some Limiting Theorems3.3. Stationary Distributions and Some Examples; 3.4. Applications of Stationary Distributions and Some MCMC Methods; 3.4.1. The Gibbs sampling method; 3.4.2. The weighted bootstrap method for generating random samples; 3.4.3. The Metropolis-Hastings algorithm; 3.5. Some Illustrative Examples; 3.6. Estimation of Linkage Fraction by Gibbs Sampling Method; 3.7. Complements and Exercises; 3.8. Appendix: A Lemma for Finite Markov Chains; References; 4 Continuous-Time Markov Chain Models in Genetics, Cancers and AIDS; 4.1. Introduction.
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| 505 |
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|a 4.2. The Infinitesimal Generators and an Embedded Markov Chain4.3. The Transition Probabilities and Kolmogorov Equations; 4.4. Kolmogorov Equations for Finite Markov Chains with Continuous Time; 4.5. Complements and Exercises; References; 5 Absorption Probabilities and Stationary Distributions in Continuous-Time Markov Chain Models; 5.1. Absorption Probabilities and Moments of First Absorption Times of Transient States; 5.1.1. The case when CT is finite; 5.2. The Stationary Distributions and Examples; 5.3. Finite Markov Chains and the HIV Incubation Distribution.
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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|a Medicine
|x Mathematical models.
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| 650 |
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|a Stochastic processes.
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| 650 |
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|a Genetics
|x Mathematical models.
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| 650 |
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|a AIDS (Disease)
|x Mathematical models.
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| 650 |
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|a Cancer
|x Mathematical models.
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| 650 |
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2 |
|a Stochastic Processes
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| 650 |
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6 |
|a Médecine
|x Modèles mathématiques.
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| 650 |
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|a Processus stochastiques.
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| 650 |
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|a Sida
|x Modèles mathématiques.
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| 650 |
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|a Cancer
|x Modèles mathématiques.
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| 650 |
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|a HEALTH & FITNESS
|x Holism.
|2 bisacsh
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| 650 |
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|a HEALTH & FITNESS
|x Reference.
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| 650 |
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|a MEDICAL
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|a MEDICAL
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|2 bisacsh
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|a AIDS (Disease)
|x Mathematical models
|2 fast
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| 650 |
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|a Cancer
|x Mathematical models
|2 fast
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| 650 |
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7 |
|a Genetics
|x Mathematical models
|2 fast
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| 650 |
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|a Medicine
|x Mathematical models
|2 fast
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| 650 |
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|a Stochastic processes
|2 fast
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|i Print version:
|a Tan, W.Y., 1934-
|t Stochastic models with applications to genetics, cancers, AIDS, and other biomedical systems.
|b 2nd edition
|z 9789814390941
|w (DLC) 2015031964
|w (OCoLC)926623329
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