Estimation of Stress Strength Reliability in Single Component Models for Different Distributions

Nafeesa Bashir; Raeesa Bashir; T. R. Jan; Shakeel A. Mir

doi:10.9734/cjast/2019/v34i630158

Research Article Open access CC BY 4.0

Estimation of Stress Strength Reliability in Single Component Models for Different Distributions

Nafeesa Bashir, Raeesa Bashir, T. R. Jan, Shakeel A. Mir

Current Journal of Applied Science and Technology · pp. 1–10 · Published 24 Apr 2019

10.9734/cjast/2019/v34i630158

Abstract

This paper aims to estimate the stress-strength reliability parameter R = P(Y < X), considering the two different cases of stress strength parameters, when the strength ‘X’ follows exponentiated inverse power Lindley distribution ,extended inverse Lindley and Stress ‘Y’ follows inverse power Lindley distribution and inverse Lindley distribution. The method of maximum likelihood estimation is used to obtain the reliability estimators. Illustrations are provided using R programming.

Lindley distribution (LD) Inverse Lindley distribution (ILD) Inverse Power Lindley distribution (IPLD) Extended Inverse Lindley distribution (EILD) Exponentiated Inverse Power Lindley distribution (EIPLD) Maximum likelihood estimator (MLE).

Cited by 1

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Nafeesa Bashir, Raeesa Bashir, T. R. Jan, Shakeel A. Mir (2019). Estimation of Stress Strength Reliability in Single Component Models for Different Distributions. Current Journal of Applied Science and Technology , 1–10. https://doi.org/10.9734/cjast/2019/v34i630158

Affiliations

Nafeesa Bashir — Department of Statistics, University of Kashmir, Jammu and Kashmir, India.
Raeesa Bashir — Department of Mathematics and Quantitative Analysis, Amity University, Dubai, UAE.
T. R. Jan — Department of Statistics, University of Kashmir, Jammu and Kashmir, India.
Shakeel A. Mir — Division of Agricultural Statistics, SKUAST-K, Jammu and Kashmir, India.

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