Estimation of Hazard Rate and Mean Residual Life Ordering for Fuzzy Random Variable-Reference-Cited by-同舟云学术

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

Published:2015 Issue: Volume:2015 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ramasubramanian S.¹,Mahendran P.¹

Affiliation:

1. Department of Mathematics, Anna University, BIT Campus, Tiruchirappalli 620024, India

Abstract

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 variablesXandY.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/164795.pdf

Reference12 articles.

1. Fuzzy random variables—I. definitions and theorems

2. Fuzzy random variables

3. Characterization of distributions by relationships between failure rate and mean residual life

4. On the Mean Residual Life Function in Survival Studies

5. Mean residual life function for certain types of non-monotonic ageing

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