Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable

L2-metric is used to find the distance between triangular fuzzy numbers. The mean and variance of a fuzzy random variable are also determined by this concept. The hazard rate is estimated and its relationship with mean residual life ordering of fuzzy random variable is investigated. Additionally, we...

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Main Authors: S. Ramasubramanian, P. Mahendran
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/164795
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author S. Ramasubramanian
P. Mahendran
author_facet S. Ramasubramanian
P. Mahendran
author_sort S. Ramasubramanian
collection DOAJ
description L2-metric is used to find the distance between triangular fuzzy numbers. The mean and variance of a fuzzy random variable are also determined by this concept. The hazard rate is estimated and its relationship with mean residual life ordering of fuzzy random variable is investigated. Additionally, we have focused on deriving bivariate characterization of hazard rate ordering which explicitly involves pairwise interchange of two fuzzy random variables X and Y.
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spelling doaj-art-79bc2840c22d4015bcc52a57c7bea8052025-08-20T03:35:47ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/164795164795Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random VariableS. Ramasubramanian0P. Mahendran1Department of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, IndiaDepartment of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, IndiaL2-metric is used to find the distance between triangular fuzzy numbers. The mean and variance of a fuzzy random variable are also determined by this concept. The hazard rate is estimated and its relationship with mean residual life ordering of fuzzy random variable is investigated. Additionally, we have focused on deriving bivariate characterization of hazard rate ordering which explicitly involves pairwise interchange of two fuzzy random variables X and Y.http://dx.doi.org/10.1155/2015/164795
spellingShingle S. Ramasubramanian
P. Mahendran
Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
Abstract and Applied Analysis
title Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
title_full Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
title_fullStr Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
title_full_unstemmed Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
title_short Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable
title_sort estimation of hazard rate and mean residual life ordering for fuzzy random variable
url http://dx.doi.org/10.1155/2015/164795
work_keys_str_mv AT sramasubramanian estimationofhazardrateandmeanresiduallifeorderingforfuzzyrandomvariable
AT pmahendran estimationofhazardrateandmeanresiduallifeorderingforfuzzyrandomvariable