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Stochastic Comparisons of Parallel Systems of Heterogeneous Generalized Exponential Components

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dc.contributor.author Kundu, Amarjit
dc.contributor.author Chowdhury, Shovan
dc.contributor.author Nanda, Asok K
dc.date.accessioned 2016-05-27T06:55:52Z
dc.date.available 2016-05-27T06:55:52Z
dc.date.issued 2014-10
dc.identifier.uri http://hdl.handle.net/2259/720
dc.description 1 Department of Mathematics Santipur College, West Bengal, India 2 Indian Institute of Management Kozhikode, IIMK Campus 3 Indian Institute of Science and Educational Research, Calcutta en_US
dc.description.abstract Let X1;X2; : : : ;Xn (resp. Y1; Y2; : : : ; Yn) be independent random variables such that Xi (resp. Yi) follows generalized exponential distribution with shape parameter i and scale parameter i (resp. i), i = 1; 2; : : : ; n. Here it is shown that if = ( 1; 2; : : : ; n) majorizes = ( 1; 2; : : : ; n) then Xn:n will be greater than Yn:n in reversed hazard rate ordering. That no relation exists between Xn:n and Yn:n, under same condition, in terms of likelihood ratio ordering has also been shown. It is also shown that, if Yi follows generalized exponential distribution with parameters ; i, where is the mean of all i's, i = 1 : : : n, then Xn:n is greater than Yn:n in likelihood ratio ordering. In this context, an error in Marshall, Olkin and Arnold [Inequalities: Theory of Majorization and Its applications (2011)] has been corrected, and some new results on majorization have been developed. en_US
dc.language.iso en en_US
dc.publisher Indian Institute of Management Kozhikode en_US
dc.relation.ispartofseries ;IIMK/WPS/162/QM&OM/2014/20
dc.subject Hazard rate function en_US
dc.subject Majorization en_US
dc.subject Reversed hazard rate function, en_US
dc.subject Schur-convex and Schur-concave functions en_US
dc.subject Stochastic orders en_US
dc.title Stochastic Comparisons of Parallel Systems of Heterogeneous Generalized Exponential Components en_US
dc.type Working Paper en_US

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