|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910815681603321 |
|
|
Autore |
Tan W. Y. <1934-> |
|
|
Titolo |
Stochastic models with applications to genetics, cancers, AIDS and other biomedical systems / / Tan Wai-Yuan |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore ; ; River Edge, N.J., : World Scientific, c2002 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (458 p.) |
|
|
|
|
|
|
Collana |
|
Series on concrete and applicable mathematics ; ; v. 4 |
|
|
|
|
|
|
Disciplina |
|
519.2302457 |
610.15118 |
610/.1/5118 |
|
|
|
|
|
|
|
|
Soggetti |
|
Medicine - Mathematical models |
Stochastic processes |
Genetics - Mathematical models |
AIDS (Disease) - Mathematical models |
Cancer - Mathematical models |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
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 |
|
|
|
|