Continuous Multivariate Distributions, Volume 1: Models and Applications
John Wiley & Sons, 5 квіт. 2004 р. - 752 стор.
Continuous Multivariate Distributions, Volume 1, Second Edition provides a remarkably comprehensive, self-contained resource for this critical statistical area. It covers all significant advances that have occurred in the field over the past quarter century in the theory, methodology, inferential procedures, computational and simulational aspects, and applications of continuous multivariate distributions. In-depth coverage includes MV systems of distributions, MV normal, MV exponential, MV extreme value, MV beta, MV gamma, MV logistic, MV Liouville, and MV Pareto distributions, as well as MV natural exponential families, which have grown immensely since the 1970s. Each distribution is presented in its own chapter along with descriptions of real-world applications gleaned from the current literature on continuous multivariate distributions and their applications.
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45 Multivariate Normal Distributions
46 Bivariate and Trivariate Normal Distributions
47 Multivariate Exponential Distributions
48 Multivariate Gamma Distributions
49 Dirichlet and Inverted Dirichlet Distributions
50 Multivariate Liouville Distribution
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American Statistical Association Annals of Mathematical Applications approximation Arnold asymptotic Balakrishnan 1994 Biometrika bivariate distribution bivariate exponential distribution bivariate gamma bivariate normal distribution bivariate Pareto bution Chapter characteristic function characterization coefficient components Computation conditional distribution correlation corresponding cumulative distribution function deﬁned denote Dirichlet distribution discussed distri equation exponential distribution extreme value distributions ﬁnite ﬁrst ﬁxed formulas function of X1 gamma distribution Gupta inﬁnite Johnson joint density function joint distribution joint survival function Journal of Multivariate Journal of Statistics k-variate Kotz linear Liouville distribution logistic distribution marginal distributions Mathematical Statistics maximum likelihood estimator Multivariate Analysis multivariate distributions multivariate exponential multivariate normal distribution normal variables Note obtained Olkin order statistics Pareto distribution positive deﬁnite quadratic random variables random vector regression sample satisﬁes Speciﬁcally standard normal survival function tion transformation tribution trivariate truncated univariate Weibull X1 and X2 Xk)T