Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 268
Estimating Reliability of a Stress–Strength Model using Reciprocal Inverse Gaussian kernel
Meriem Medjider, Karima Lagha
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2235
April 15, 2235

Abstract: Consider the problem of nonparametric estimation of system reliability R defined as R = P(X > Y ) named as Stress-Strength reliability, where X and Y are random variables representing respectively, the strength of a component and stress applied to it. Different parametric estimators are proposed, namely the maximum likelihood estimator, uniformly minimum variance unbiased estimator (UMVUE), and the Bayesian estimate of R. In this work, we have proposed a nonparametric method to estimate the reliability R of this model using the nonparametric Reciprocal Inverse Gaussian (RIG) kernel. Some ...