Estimation of stress–strength reliability from exponentiated inverse rayleigh distribution
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Date
2019
Authors
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Journal ISSN
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Publisher
World Scientific Publishing Company
Abstract
This paper considers the estimation of stress–strength reliability when two independent
exponential inverse Rayleigh distributions with different shape parameters and common
scale parameter. The maximum likelihood estimator (MLE) of the reliability, its asymptotic distribution and asymptotic confidence intervals are constructed. Comparisons of the performance of the estimators are carried out using Monte Carlo simulations, the mean squared error (MSE), bias, average length and coverage probabilities. Finally, a demonstration is delivered on how the proposed reliability model may be applied in data analysis of the strength data for single carbon fibers test data.
Description
Full Text Article.
Also available at: https://www.worldscientific.com/doi/abs/10.1142/S0218539319500050
Keywords
Exponential inverse, Rayleigh distribution, Asymptotic confidence intervals, Strength–stress model, Bootstrap method, Simulation studies, Bootstrap confidence intervals.
Citation
Rao, G. S., Mbwambo, S., & Josephat, P. K. (2019). Estimation of stress–strength reliability from exponentiated inverse rayleigh distribution. International Journal of Reliability, Quality and Safety Engineering, 26(01), 1950005.