Handbook of Beta Distribution and Its ApplicationsArjun K. Gupta, Saralees Nadarajah CRC Press, 21.06.2004 - 600 Seiten 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. |
Inhalt
Beta Function and the Incomplete Beta Function | 3 |
Mathematical Properties of the Beta Distribution | 33 |
Kosto Mitov Airforce Academy G Benkovski Pleven Bulgaria | 41 |
Products and Linear Combinations | 55 |
Order Statistics and Records | 89 |
Generalizations and Related Univariate Distributions | 97 |
Beta Distributions in Stochastic Processes | 165 |
Approximations and Tables of Beta Distributions | 203 |
Parameter Specification of the Beta Distribution and | 283 |
their Computation | 319 |
Bayesian Inference | 361 |
Applications of the Beta Distribution | 423 |
Beta Distribution in Bioassay | 437 |
Probabilistic Analysis of Machine Tool Errors Using Beta | 485 |
An Attempt to Model Distributions of Part Dimensions | 507 |
Applications of the BetaBinomial Distribution to Animal | 529 |
Maximum Likelihood Estimators of the Parameters in | 229 |
GoodnessofFit Testing of the BetaBinomial Model | 237 |
Distributions with Beta Conditionals | 255 |
LimitedRange Distributions with Informative Dropout | 551 |
| 569 | |
Andere Ausgaben - Alle anzeigen
Handbook of Beta Distribution and Its Applications Arjun K. Gupta,Saralees Nadarajah Eingeschränkte Leseprobe - 2004 |
Handbook of Beta Distribution and Its Applications Arjun K. Gupta,Saralees Nadarajah Eingeschränkte Leseprobe - 2004 |
Handbook of Beta Distribution and Its Applications A. K. Gupta,Saralees Nadarajah Keine Leseprobe verfügbar - 2020 |
Häufige Begriffe und Wortgruppen
1.0 d Figure applications approximation b₁ b₂ Bayes Bernoulli beta conditionals beta distribution beta pdfs beta prior beta random variable beta-binomial distribution beta-binomial model Beta(a binomial Brownian motion bution cell central beta chi-squared Compute conjugate prior considered corresponding data sets defined denoted Dirichlet distribution distribution function distribution with parameters equation error estimates example gamma distribution Giri given Hence historical controls incomplete beta function integral interval Ix(a Journal of Statistical lim Pr limiting distributions litter loss function Mathematical matrix maximum likelihood mean methods multinomial Multivariate noncentral beta distribution normal obtained order statistics Ordered Dirichlet P-value P₁ Pham-Gia posterior distribution predictive distribution prior distribution probability density function problem properties quantile quantile constraint random walk sampling Section Simulation solution stochastic Table test statistic Theorem tion Turkkan values variable with parameters variance vector