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Directional statistics [[electronic resource] /] / Kanti V. Mardia, Peter E. Jupp
| Directional statistics [[electronic resource] /] / Kanti V. Mardia, Peter E. Jupp |
| Autore | Mardia K. V |
| Edizione | [[2nd ed.].] |
| Pubbl/distr/stampa | Chichester ; ; New York, : Wiley, c2000 |
| Descrizione fisica | 1 online resource (452 p.) |
| Disciplina | 519.5 |
| Altri autori (Persone) | JuppPeter E |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Distribution (Probability theory)
Mathematical statistics Sampling (Statistics) |
| ISBN |
1-282-30780-0
9786612307805 0-470-31697-7 0-470-31781-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Directional Statistics; Contents; 11.1 INTRODIUCTION; Preface; 1 Circular Data; 1.1 INTRODUCTION; 1.2 DIAGR. AMMATICAL REPR.ESEXT.4TION; 1.2.1 Ungrouped Data; 1.2.2 Grouped Data; 1.2.3 Axial Data; 1.3 FORMS OF FREQUENCY DISTRIBUTIOSS; 1.3.1 Unimodal Distributions; 1.3.2 Multimodal Distributions; 1.4 FRTHER EXAMPLES OF DIRECTINAL DATA; 1.4.1 Earth Sciences; 1.4.2 Meteorology; 1.4.3 Biology; 1.4.4 Physics; 1.4.5 Psychology; 1.4.6 Image Analysis; 1.4.7 Medicine; 1.4.8 Astronomy; 1.5 Wrapping and Projecting; 2 Summary Statistics; 2.1. INTRODUCTION; 2.1.1 Preliminaries and Notation
2.2 MEASUCRES OF LOCATION2.2.1 The Mean Direction; 2.2.2 The Metiiari Direr:tion; 2.3 MEASUR.ES OF CONCENTRATIOX AND DISPERSION; 2.3.1 The Mean Rwultant Length arid the Circular Variance; 2.3.2 Dworriposit.ion of Dispersion; 2.3.3 The Circirlw Standard Deviation; 2.3.4 Other M(xmres of Dispersion; 2.4 TRIGONOMETRIC I\IIOMEXTS; 2.4.1 Defiuitions; 2.4.2 Measures of Skewness mid Kurtosis; 2.5 CORRECTIOKS FOR GROUPING; 3 Basic Concepts and Models; 3.1 INTRODUCTIOS; 3.2 THE DISTRIBUTIORT FUNCTIOIV; 3.3 THE CHARACTERISTlC FUXCTIOX; 3.3.1 Definition; 3.3.2 Fourier Series 3.3.3 Indepeiidence and Convolution3.4 MOMESTS AND MEASURES OF LOCATION AND DISPERSIOS; 3.4.1 Trigonometric Moments; 3.4.2 Measures of Loration arid Dispersion; 3.4.3 A Chebysheu Inequality; 3.4.4 Symmetrical Dist.ribut.ions; 3.5 CIRCULAR MODELS; 3.5.1 Introduction; 3.5.2 Lattice Distributions; 3.5.3 Uniform Distribution; 3.5.4 Von Mises Distributions; 3.5.5 Carciioid Distributions; 3.5.6 Projwtrd Normal Distributions; 3.5.7 Wrapped Distributions; 3.6 MULTIPLY-WRAPPED DISTRIBUTIONS; 3.6.1 Wrapping the Circle rmtct Itself; 3.6.2 Mixtures; 3.7 DISTRIBUTIOKS ON THE TORUS AND THE CYLINDER 3.7.1 Distributions on the Torus3.7.2 Distributions on the CyliIidrr; 4 Fundamental Theorems and Distribution Theory; 4.1 INTRODCCTION; 4.2 PROPERTIES OF CHARACTERISTIC FUNCTIOKS; 4.2.1 Key Properties; 4.2.2 Polnr Distributions mid Characteristic. FuIictions; 4.2.3 Further Properties of the Chwactcristir: Function; 4.3 LIMIT THEOREMS; 4.3.1 Central Linlit Theorems; 4.3.2 Poincar6's Theorem; 4.4 THE DISTRIBUTION OF # AND R FROM THE UNIFORM DISTRIBUTION; 4.4.1 The Distribution of 8 md R; 4.4.2 The Distribution of C and S; 4.5 DISTRIBUTION OF C, S AND R FOR A VON MISES POPLLATIOX 4.5.1 The Joint Distribution of C and S4.5.2 Distributions of 8 and .; 4.5.3 hifarginal Distributions of C and S; 4.6 PROBLE~iFORVON~,~SESPOPUL.4TIOSS 4.6 DISTRIBUTIONS RELATED TO THE MULTI-SAhIPLE; 4.6.1 The Distribution of R; 4.6.2 The Joint Distribution of' (R, R); 4.6.3 Distributions for the Homogeneous Case; 4.7 MOMENTS OF R; 4.8 LIMITING DISTRIBUTIONS OF CIRCULAR . STATISTICS; 4.8.1 Large-Sample Approximations; 4.8.2 High-Concentration Approximations; 4.8.3 Furthtr Approximations to the Distribution of R; 5 Point Estimation; 5.1 INTRODUCTION 5.2 UNBIASED ESTIMATORS AND A CRAMER-RAO BOUND |
| Record Nr. | UNINA-9910677089203321 |
Mardia K. V
|
||
| Chichester ; ; New York, : Wiley, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang
| Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang |
| Autore | Ng Kai Wang |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2011 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina |
515.782
519.2/4 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Distribution (Probability theory)
Dirichlet problem |
| ISBN |
1-283-40560-1
9786613405609 1-119-99841-7 1-119-99586-8 1-119-99578-7 |
| Classificazione | MAT029000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dirichlet and Related Distributions: Theory, Methods and Applications; Contents; Preface; Acknowledgments; List of abbreviations; List of symbols; List of figures; List of tables; 1 Introduction; 1.1 Motivating examples; 1.2 Stochastic representation and the d= operator; 1.2.1 Definition of stochastic representation; 1.2.2 More properties on the d = operator; 1.3 Beta and inverted beta distributions; 1.4 Some useful identities and integral formulae; 1.4.1 Partial-fraction expansion; 1.4.2 Cambanis-Keener-Simons integral formulae; 1.4.3 Hermite-Genocchi integral formula
1.5 The Newton-Raphson algorithm1.6 Likelihood in missing-data problems; 1.6.1 Missing-data mechanism; 1.6.2 The expectation-maximization (EM) algorithm; 1.6.3 The expectation/conditional maximization (ECM) algorithm; 1.6.4 The EM gradient algorithm; 1.7 Bayesian MDPs and inversion of Bayes' formula; 1.7.1 The data augmentation (DA) algorithm; 1.7.2 True nature of Bayesian MDP: inversion of Bayes' formula; 1.7.3 Explicit solution to the DA integral equation; 1.7.4 Sampling issues in Bayesian MDPs; 1.8 Basic statistical distributions; 1.8.1 Discrete distributions 1.8.2 Continuous distributions2 Dirichlet distribution; 2.1 Definition and basic properties; 2.1.1 Density function and moments; 2.1.2 Stochastic representations and mode; 2.2 Marginal and conditional distributions; 2.3 Survival function and cumulative distribution function; 2.3.1 Survival function; 2.3.2 Cumulative distribution function; 2.4 Characteristic functions; 2.4.1 The characteristic function of u ~ U(Tn); 2.4.2 The characteristic function of v ~ U(Tn); 2.4.3 The characteristic function of a Dirichlet random vector; 2.5 Distribution for linear function of a Dirichlet random vector 2.5.1 Density for linear function of v ~ U(Vn)2.5.2 Density for linear function of u ~ U(Tn); 2.5.3 A unified approach to linear functions of variables and order statistics; 2.5.4 Cumulative distribution function for linear function of a Dirichlet random vector; 2.6 Characterizations; 2.6.1 Mosimann's characterization; 2.6.2 Darroch and Ratcliff's characterization; 2.6.3 Characterization through neutrality; 2.6.4 Characterization through complete neutrality; 2.6.5 Characterization through global and local parameter independence; 2.7 MLEs of the Dirichlet parameters 2.7.1 MLE via the Newton-Raphson algorithm2.7.2 MLE via the EM gradient algorithm; 2.7.3 Analyzing serum-protein data of Pekin ducklings; 2.8 Generalized method of moments estimation; 2.8.1 Method of moments estimation; 2.8.2 Generalized method of moments estimation; 2.9 Estimation based on linear models; 2.9.1 Preliminaries; 2.9.2 Estimation based on individual linear models; 2.9.3 Estimation based on the overall linear model; 2.10 Application in estimating ROC area; 2.10.1 The ROC curve; 2.10.2 The ROC area; 2.10.3 Computing the posterior density of the ROC area 2.10.4 Analyzing the mammogram data of breast cancer |
| Record Nr. | UNINA-9910130868703321 |
|
Ng Kai Wang
|
||
| Chichester, England : , : Wiley, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang
| Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang |
| Autore | Ng Kai Wang |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2011 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina |
515.782
519.2/4 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Distribution (Probability theory)
Dirichlet problem |
| ISBN |
1-283-40560-1
9786613405609 1-119-99841-7 1-119-99586-8 1-119-99578-7 |
| Classificazione | MAT029000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dirichlet and Related Distributions: Theory, Methods and Applications; Contents; Preface; Acknowledgments; List of abbreviations; List of symbols; List of figures; List of tables; 1 Introduction; 1.1 Motivating examples; 1.2 Stochastic representation and the d= operator; 1.2.1 Definition of stochastic representation; 1.2.2 More properties on the d = operator; 1.3 Beta and inverted beta distributions; 1.4 Some useful identities and integral formulae; 1.4.1 Partial-fraction expansion; 1.4.2 Cambanis-Keener-Simons integral formulae; 1.4.3 Hermite-Genocchi integral formula
1.5 The Newton-Raphson algorithm1.6 Likelihood in missing-data problems; 1.6.1 Missing-data mechanism; 1.6.2 The expectation-maximization (EM) algorithm; 1.6.3 The expectation/conditional maximization (ECM) algorithm; 1.6.4 The EM gradient algorithm; 1.7 Bayesian MDPs and inversion of Bayes' formula; 1.7.1 The data augmentation (DA) algorithm; 1.7.2 True nature of Bayesian MDP: inversion of Bayes' formula; 1.7.3 Explicit solution to the DA integral equation; 1.7.4 Sampling issues in Bayesian MDPs; 1.8 Basic statistical distributions; 1.8.1 Discrete distributions 1.8.2 Continuous distributions2 Dirichlet distribution; 2.1 Definition and basic properties; 2.1.1 Density function and moments; 2.1.2 Stochastic representations and mode; 2.2 Marginal and conditional distributions; 2.3 Survival function and cumulative distribution function; 2.3.1 Survival function; 2.3.2 Cumulative distribution function; 2.4 Characteristic functions; 2.4.1 The characteristic function of u ~ U(Tn); 2.4.2 The characteristic function of v ~ U(Tn); 2.4.3 The characteristic function of a Dirichlet random vector; 2.5 Distribution for linear function of a Dirichlet random vector 2.5.1 Density for linear function of v ~ U(Vn)2.5.2 Density for linear function of u ~ U(Tn); 2.5.3 A unified approach to linear functions of variables and order statistics; 2.5.4 Cumulative distribution function for linear function of a Dirichlet random vector; 2.6 Characterizations; 2.6.1 Mosimann's characterization; 2.6.2 Darroch and Ratcliff's characterization; 2.6.3 Characterization through neutrality; 2.6.4 Characterization through complete neutrality; 2.6.5 Characterization through global and local parameter independence; 2.7 MLEs of the Dirichlet parameters 2.7.1 MLE via the Newton-Raphson algorithm2.7.2 MLE via the EM gradient algorithm; 2.7.3 Analyzing serum-protein data of Pekin ducklings; 2.8 Generalized method of moments estimation; 2.8.1 Method of moments estimation; 2.8.2 Generalized method of moments estimation; 2.9 Estimation based on linear models; 2.9.1 Preliminaries; 2.9.2 Estimation based on individual linear models; 2.9.3 Estimation based on the overall linear model; 2.10 Application in estimating ROC area; 2.10.1 The ROC curve; 2.10.2 The ROC area; 2.10.3 Computing the posterior density of the ROC area 2.10.4 Analyzing the mammogram data of breast cancer |
| Record Nr. | UNINA-9910813761303321 |
|
Ng Kai Wang
|
||
| Chichester, England : , : Wiley, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dirichlet Forms [e-book] : lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, june 8-19, 1992 / by Eugene Fabes ... [et al.] ; edited by Gianfausto Dell'Antonio, Umberto Mosco
| Dirichlet Forms [e-book] : lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, june 8-19, 1992 / by Eugene Fabes ... [et al.] ; edited by Gianfausto Dell'Antonio, Umberto Mosco |
| Autore | Fabes, Eugene |
| Pubbl/distr/stampa | Berlin : Springer, 1993 |
| Descrizione fisica | 1 online resource (vii, 245 p.) |
| Disciplina | 519.2 |
| Altri autori (Persone) |
Dell'Antonio, Gianfausto
Mosco, Umberto |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 1563 |
| Soggetto topico |
Mathematics
Global analysis (Mathematics) Distribution (Probability theory) |
| ISBN | 9783540481515 |
| Classificazione |
AMS 46-XX
AMS 31-XX AMS 35-XX AMS 60-XX |
| Formato | Risorse elettroniche  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002246829707536 |
|
Fabes, Eugene
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| Berlin : Springer, 1993 | ||
| Risorse elettroniche | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910480586303321 |
|
Röckner Michael <1956->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910788891403321 |
|
Röckner Michael <1956->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910812435903321 |
|
Röckner Michael <1956->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| 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-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
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| Hoboken, NJ, : John Wiley, 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Distribution (Probability theory)
(443)
- Mathematics (210)
- Mathematical statistics (39)
- Mathematical physics (34)
- Probabilities (23)