Multivariate Liouville distributions. III

DOI10.1016/0047-259X(92)90109-SzbMath0777.62053OpenAlexW4213337780MaRDI QIDQ1201124

Donald St. P. Richards, Rameshwar D. Gupta

Publication date: 17 January 1993

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(92)90109-s

zbMATH Keywords

order statisticsreliabilityboundsspacingstotal positivitypartial orderingsmajorizationsurvival functions\(k\)-out-of-\(n\) systemconvex orderingstochastic orderingslinear combinationsexponential random variablesDirichlet distributionsdependence propertiescumulative distribution functionscrossing pointLiouville distributionscomponent lifetimesconcave orderingexchangeable Liouville distributionsLaplace transform orderingsrandom environment modelsvariation comparisonsvariation diminishing transformations

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Inequalities; stochastic orderings (60E15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05) Ordered structures (06F99)

Related Items (12)

A semiparametric model for compositional data analysis in presence of covariates on the simplex. ⋮ Online Learning of Inverted Beta-Liouville HMMs for Anomaly Detection in Crowd Scenes ⋮ Invariance properties of some classical tests for exponentiality ⋮ The History of the Dirichlet and Liouville Distributions ⋮ A new mixture model on the simplex ⋮ A structured Dirichlet mixture model for compositional data: inferential and applicative issues ⋮ On a system of nonhomogeneous components sharing a common frailty ⋮ Generalised liouville processes and their properties ⋮ Grouped Dirichlet distribution: A new tool for incomplete categorical data analysis ⋮ Further properties and new applications of the nested Dirichlet distribution ⋮ From Archimedean to Liouville copulas ⋮ Semiparametric estimation in the multivariate Liouville model.

Cites Work

• Some partial orderings of exchangeable random variables by positive dependence
• Multivariate splines: a probabilistic perspective
• Multivariate Liouville distributions
• A concept of positive dependence for exchangeable random variables
• The Dirichlet distributions and polynomial regression
• Inequalities for linear combinations of gamma random variables
• On a system of components with joint lifetimes distributed as a mixture of independent exponential laws
• Multivariate Lomax distribution: properties and usefulness in reliability theory
• Inequalities: theory of majorization and its applications
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