Dirichlet and Related Distributions: Theory, Methods and Applications
By Kai Wang Ng, Guo-Liang Tian and Man-Lai Tang
3/5
()
About this ebook
The theoretical properties and applications are also reviewed in detail for other related distributions, such as the inverted Dirichlet distribution, Dirichlet-multinomial distribution, the truncated Dirichlet distribution, the generalized Dirichlet distribution, Hyper-Dirichlet distribution, scaled Dirichlet distribution, mixed Dirichlet distribution, Liouville distribution, and the generalized Liouville distribution.
Key Features:
- Presents many of the results and applications that are scattered throughout the literature in one single volume.
- Looks at the most recent results such as survival function and characteristic function for the uniform distributions over the hyper-plane and simplex; distribution for linear function of Dirichlet components; estimation via the expectation-maximization gradient algorithm and application; etc.
- Likelihood and Bayesian analyses of incomplete categorical data by using GDD, NDD, and the generalized Dirichlet distribution are illustrated in detail through the EM algorithm and data augmentation structure.
- Presents a systematic exposition of the Dirichlet-multinomial distribution for multinomial data with extra variation which cannot be handled by the multinomial distribution.
- S-plus/R codes are featured along with practical examples illustrating the methods.
Practitioners and researchers working in areas such as medical science, biological science and social science will benefit from this book.
Related to Dirichlet and Related Distributions
Titles in the series (100)
Fundamental Statistical Inference: A Computational Approach Rating: 0 out of 5 stars0 ratingsSensitivity Analysis in Linear Regression Rating: 0 out of 5 stars0 ratingsMultiple Imputation for Nonresponse in Surveys Rating: 2 out of 5 stars2/5Nonlinear Statistical Models Rating: 0 out of 5 stars0 ratingsComputation for the Analysis of Designed Experiments Rating: 0 out of 5 stars0 ratingsApplications of Statistics to Industrial Experimentation Rating: 3 out of 5 stars3/5Statistics and Causality: Methods for Applied Empirical Research Rating: 0 out of 5 stars0 ratingsProbability and Conditional Expectation: Fundamentals for the Empirical Sciences Rating: 0 out of 5 stars0 ratingsAspects of Multivariate Statistical Theory Rating: 0 out of 5 stars0 ratingsLinear Statistical Inference and its Applications Rating: 0 out of 5 stars0 ratingsRobust Correlation: Theory and Applications Rating: 0 out of 5 stars0 ratingsNonparametric Finance Rating: 0 out of 5 stars0 ratingsMeasuring Agreement: Models, Methods, and Applications Rating: 0 out of 5 stars0 ratingsTheory of Probability: A critical introductory treatment Rating: 0 out of 5 stars0 ratingsA Course in Time Series Analysis Rating: 3 out of 5 stars3/5The Statistical Analysis of Failure Time Data Rating: 0 out of 5 stars0 ratingsAnalyzing Microarray Gene Expression Data Rating: 5 out of 5 stars5/5Theory of Ridge Regression Estimation with Applications Rating: 0 out of 5 stars0 ratingsMeasurement Errors in Surveys Rating: 0 out of 5 stars0 ratingsForecasting with Univariate Box - Jenkins Models: Concepts and Cases Rating: 0 out of 5 stars0 ratingsTime Series Analysis: Nonstationary and Noninvertible Distribution Theory Rating: 0 out of 5 stars0 ratingsPeriodically Correlated Random Sequences: Spectral Theory and Practice Rating: 0 out of 5 stars0 ratingsExploratory Data Mining and Data Cleaning Rating: 2 out of 5 stars2/5Modern Experimental Design Rating: 0 out of 5 stars0 ratingsFractal-Based Point Processes Rating: 4 out of 5 stars4/5Sequential Stochastic Optimization Rating: 0 out of 5 stars0 ratingsExperiments with Mixtures: Designs, Models, and the Analysis of Mixture Data Rating: 5 out of 5 stars5/5An Introduction to Envelopes: Dimension Reduction for Efficient Estimation in Multivariate Statistics Rating: 0 out of 5 stars0 ratingsTime Series Analysis with Long Memory in View Rating: 0 out of 5 stars0 ratingsLinear Regression Analysis Rating: 3 out of 5 stars3/5
Related ebooks
Analysis of Ordinal Categorical Data Rating: 4 out of 5 stars4/5Methods for Statistical Data Analysis of Multivariate Observations Rating: 0 out of 5 stars0 ratingsLog-Linear Modeling: Concepts, Interpretation, and Application Rating: 0 out of 5 stars0 ratingsProbability and Conditional Expectation: Fundamentals for the Empirical Sciences Rating: 0 out of 5 stars0 ratingsMultiple Imputation and its Application Rating: 0 out of 5 stars0 ratingsSensitivity Analysis in Linear Regression Rating: 0 out of 5 stars0 ratingsJoe Celko's Trees and Hierarchies in SQL for Smarties Rating: 0 out of 5 stars0 ratingsMaximum Likelihood Estimation and Inference: With Examples in R, SAS and ADMB Rating: 4 out of 5 stars4/5Mathematics with Applications for the Management, Life, and Social Sciences Rating: 5 out of 5 stars5/5Cognitive Radio Communication and Networking: Principles and Practice Rating: 0 out of 5 stars0 ratingsStatistical Pattern Recognition Rating: 4 out of 5 stars4/5Introduction to Probability Models Rating: 0 out of 5 stars0 ratingsStatistical Inference for Models with Multivariate t-Distributed Errors Rating: 0 out of 5 stars0 ratingsTime-Dependent Problems and Difference Methods Rating: 0 out of 5 stars0 ratingsCategorical Data Analysis Using SAS, Third Edition Rating: 0 out of 5 stars0 ratingsBayesian Analysis of Stochastic Process Models Rating: 0 out of 5 stars0 ratingsMetaheuristics for Big Data Rating: 0 out of 5 stars0 ratingsAnalysis of Financial Time Series Rating: 4 out of 5 stars4/5Pattern Recognition Rating: 4 out of 5 stars4/5Latent Variable Models and Factor Analysis: A Unified Approach Rating: 0 out of 5 stars0 ratingsDecision-Making Management: A Tutorial and Applications Rating: 0 out of 5 stars0 ratingsEfficient Management of Large Metadata Catalogs in a Ubiquitous Computing Environment Rating: 0 out of 5 stars0 ratingsIntroduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics Rating: 0 out of 5 stars0 ratingsStructural Equation Modeling: Applications Using Mplus Rating: 0 out of 5 stars0 ratingsCluster Analysis Rating: 4 out of 5 stars4/5Aspects of Multivariate Statistical Theory Rating: 0 out of 5 stars0 ratingsHandbook of Regression Analysis Rating: 0 out of 5 stars0 ratingsCase Studies in Bayesian Statistical Modelling and Analysis Rating: 0 out of 5 stars0 ratings
Mathematics For You
The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Precalculus: A Self-Teaching Guide Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Algebra II For Dummies Rating: 3 out of 5 stars3/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsReal Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsSneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsFlatland Rating: 4 out of 5 stars4/5Limitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Algebra I For Dummies Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5
Reviews for Dirichlet and Related Distributions
1 rating0 reviews