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Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910143553403321 |
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910829979303321 |
|
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman
| Discrete distributions [[electronic resource] ] : applications in the health sciences / / Daniel Zelterman |
| Autore | Zelterman Daniel |
| Pubbl/distr/stampa | Hoboken, NJ, : John Wiley, 2004 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
519.24
519.2402461 610/.1/5118 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Medical sciences - Mathematics
Medical sciences - Mathematical models Medicine - Mathematics Distribution (Probability theory) Probabilities |
| ISBN |
1-280-23879-8
9786610238798 0-470-34589-6 0-470-86890-2 0-470-86889-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Discrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties
2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 7.1 Introduction |
| Record Nr. | UNINA-9910841573303321 |
|
Zelterman Daniel
|
||
| Hoboken, NJ, : John Wiley, 2004 | ||
| 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 |
| 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 | ||
| ||