Estimation of Stress Strength Reliability for Transmuted Exponentiated Inverse Rayleigh Distribution

Parameshwar V. Pandit¹ , Kavitha ² , N. ³

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.5 , pp.57-62, Oct-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.5762

Online published on Oct 31, 2019

Copyright © Parameshwar V. Pandit, Kavitha, N. . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The problem of estimation of reliability of systems in stress-strength set up is an important area of research in Statistics, particularly, in Statistical Inference on reliability. In this paper, the estimation of stress-strength reliability when the strength and stress variables are assumed to be independently distributed as transmuted exponentiated inverse Rayleigh distribution (TEIRD) is considered. The TEIRD is a general distribution which includes transmuted inverse Rayleigh distribution, exponentiated inverse Rayleigh distribution and inverse Rayleigh distribution as a particular cases. The maximum likelihood estimator of stress -strength model is derived. Also, asymptotic confidence interval for reliability is constructed. The real data analysis is considered and the simulation study is conducted

Key-Words / Index Term :
Stress-strength model, Reliability, Maximum likelihood estimator

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