On joint Weibull probability density functions
type: Item
instance of: scholarly article
title: On joint Weibull probability density functions
zbMATH Open document ID: 1085.62060
author: Arni S. R. Srinivasa Rao
published in: Applied Mathematics Letters
publication date: 2006-01-24T00:00:00Z
review text: The present article proves two results on joint Weibull probability density functions: (1) A formula for the product of \(n\) density functions is derived using representations based on \(n\)-variable Laplace transformations. (2) A random variable construction is devised for the joint probability function of Weibull distributions, in order to obtain a useful inequality, with applications in life testing problems, statistical quality control charts, reliability for assessing the importance of individual components of a system.
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 5001437
zbMATH Keywords: product of Weibull distributions
zbMATH Keywords: Laplace transformation
zbMATH Keywords: multivariate distribution
zbMATH Keywords: joint Weibull probability functions
zbMATH Keywords: testing problems
zbMATH Keywords: reliability
reviewed by: Neculai Curteanu
MaRDI profile type: Publication
full work available at URL: j.aml.2005.02.011
OpenAlex ID: W2066475542
cites work: Modified weighted least-squares estimators for the three-parameter Weibull distribution
cites work: Controllability in the Kornai-Weibull queueing model of a market in a shortage economy
cites work: On Some Permissible Estimators of the Location Parameter of the Weibull and Certain Other Distributions
cites work: Bivariate distributions with Weibull conditionals
cites work: Multivariate distributions having Weibull properties
DOI: 10.1016/J.AML.2005.02.011
description: scientific article; zbMATH DE number 5001437