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Handbook of beta distribution and its applications / edited by Arjun K. Gupta and Saralees Nadarajah.

Contributor(s): Gupta, Arjun K, 1938- [editor.] | Nadarajah, Saralees [editor.] | Taylor and Francis.
Material type: materialTypeLabelBookSeries: Statistics: a series of textbooks and monographs: Publisher: Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2004Edition: First edition.Description: 1 online resource (600 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9780429152887.Subject(s): Distribution (Probability theory) | ToepassingenAdditional physical formats: Print version: : No titleDDC classification: 519.2/4 Online resources: Click here to view.
Contents:
chapter A. Integral Representations -- part B. Series Representations -- chapter D. Special Cases -- chapter IX Relationships -- chapter III Type I Noncentral Beta Distribution -- chapter XII. Exponential Generalized Beta Distributions Mauldon's Generalized Beta Distribution -- chapter XVI I. Compound Confluent Hypergeometric Distribution -- chapter XIX Binomial Mixtures -- part XXI Complementary Beta Distribution -- chapter 2 ) is the solution of: 1 if and only if the right-hand side also lies in (0 1). If -- chapter XXIV Tukey Lambda Distributions -- chapter II Renewal Processes A. Ordinary Renewal Processes -- chapter B. Alternating Renewal Processes -- chapter E. Continuous Time Random Walks -- chapter III Applications -- part D. Neerchal and Morel (1998) -- chapter IV A Bootstrap Test Statistic by Garren, Smith, and Piegorsch (2001) -- chapter VII I. Generalized Beta Conditionals -- chapter IV Specification of Ordered Dirichlet Parameters -- chapter Illustration 1.9. -- part Ill ustration III.5. -- chapter Illustration III.7, -- chapter References -- chapter II The Bayesian Paradigm -- chapter D. The Reference Prior -- chapter VII I. Bayesian Decision Theory A. Statistical Decision Theory -- chapter X Mixtures of Betas A. Discrete Mixture Distributions -- chapter B. The Beta-Geometric Distribution -- chapter References -- chapter II Research Model A. Statistical Modeling of Dimension Distributions -- chapter References -- chapter IV 95% Confidence Interval.
Abstract: A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical research and practice, and demonstrates the applicability of beta distributions in fields such as economics, quality control, soil science, and biomedicine. The book discusses the centrality of beta distributions in Bayesian inference, the beta-binomial model and applications of the beta-binomial distribution, and applications of Dirichlet integrals.
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chapter A. Integral Representations -- part B. Series Representations -- chapter D. Special Cases -- chapter IX Relationships -- chapter III Type I Noncentral Beta Distribution -- chapter XII. Exponential Generalized Beta Distributions Mauldon's Generalized Beta Distribution -- chapter XVI I. Compound Confluent Hypergeometric Distribution -- chapter XIX Binomial Mixtures -- part XXI Complementary Beta Distribution -- chapter 2 ) is the solution of: 1 if and only if the right-hand side also lies in (0 1). If -- chapter XXIV Tukey Lambda Distributions -- chapter II Renewal Processes A. Ordinary Renewal Processes -- chapter B. Alternating Renewal Processes -- chapter E. Continuous Time Random Walks -- chapter III Applications -- part D. Neerchal and Morel (1998) -- chapter IV A Bootstrap Test Statistic by Garren, Smith, and Piegorsch (2001) -- chapter VII I. Generalized Beta Conditionals -- chapter IV Specification of Ordered Dirichlet Parameters -- chapter Illustration 1.9. -- part Ill ustration III.5. -- chapter Illustration III.7, -- chapter References -- chapter II The Bayesian Paradigm -- chapter D. The Reference Prior -- chapter VII I. Bayesian Decision Theory A. Statistical Decision Theory -- chapter X Mixtures of Betas A. Discrete Mixture Distributions -- chapter B. The Beta-Geometric Distribution -- chapter References -- chapter II Research Model A. Statistical Modeling of Dimension Distributions -- chapter References -- chapter IV 95% Confidence Interval.

A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical research and practice, and demonstrates the applicability of beta distributions in fields such as economics, quality control, soil science, and biomedicine. The book discusses the centrality of beta distributions in Bayesian inference, the beta-binomial model and applications of the beta-binomial distribution, and applications of Dirichlet integrals.

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