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Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan
| Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan |
| Autore | Tan W. Y. <1934-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina |
519.2302457
610.15118 610/.1/5118 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Medicine - Mathematical models
Stochastic processes Genetics - Mathematical models AIDS (Disease) - Mathematical models Cancer - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-796-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 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 2.4. Classification of States and the Dynamic Behavior of Markov Chains ; 2.5. 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 ; 2.9.2. Markov chains in the HIV epidemic in homosexual or IV drug user populations ; 2.10. Complements and Exercises ; 2.11. Appendix 2.11.1. The Hardy-Weinberg law in population genetics |
| Record Nr. | UNINA-9910450987003321 |
Tan W. Y. <1934->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan
| Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan |
| Autore | Tan W. Y. <1934-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina |
519.2302457
610.15118 610/.1/5118 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Medicine - Mathematical models
Stochastic processes Genetics - Mathematical models AIDS (Disease) - Mathematical models Cancer - Mathematical models |
| ISBN | 981-277-796-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 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 2.4. Classification of States and the Dynamic Behavior of Markov Chains ; 2.5. 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 ; 2.9.2. Markov chains in the HIV epidemic in homosexual or IV drug user populations ; 2.10. Complements and Exercises ; 2.11. Appendix 2.11.1. The Hardy-Weinberg law in population genetics |
| Record Nr. | UNINA-9910785094603321 |
|
Tan W. Y. <1934->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan
| Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems [[electronic resource] /] / Tan Wai-Yuan |
| Autore | Tan W. Y. <1934-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina |
519.2302457
610.15118 610/.1/5118 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico |
Medicine - Mathematical models
Stochastic processes Genetics - Mathematical models AIDS (Disease) - Mathematical models Cancer - Mathematical models |
| ISBN | 981-277-796-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; 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 2.4. Classification of States and the Dynamic Behavior of Markov Chains ; 2.5. 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 ; 2.9.2. Markov chains in the HIV epidemic in homosexual or IV drug user populations ; 2.10. Complements and Exercises ; 2.11. Appendix 2.11.1. The Hardy-Weinberg law in population genetics |
| Record Nr. | UNINA-9910815681603321 |
|
Tan W. Y. <1934->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
