Estimation of stress–strength reliability from exponentiated inverse rayleigh distribution

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dc.creatorRao, G. S.
dc.creatorMbwambo, S.
dc.creatorJosephat, P. K.
dc.date2020-03-20T06:43:02Z
dc.date2020-03-20T06:43:02Z
dc.date2019
dc.date.accessioned2022-10-20T13:25:31Z
dc.date.available2022-10-20T13:25:31Z
dc.descriptionFull Text Article. Also available at: https://www.worldscientific.com/doi/abs/10.1142/S0218539319500050
dc.descriptionThis 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.
dc.identifierRao, 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.
dc.identifier10.1142/S0218539319500050
dc.identifierhttp://hdl.handle.net/20.500.12661/2242
dc.identifier.urihttp://hdl.handle.net/20.500.12661/2242
dc.languageen
dc.publisherWorld Scientific Publishing Company
dc.subjectExponential inverse
dc.subjectRayleigh distribution
dc.subjectAsymptotic confidence intervals
dc.subjectStrength–stress model
dc.subjectBootstrap method
dc.subjectSimulation studies
dc.subjectBootstrap confidence intervals.
dc.titleEstimation of stress–strength reliability from exponentiated inverse rayleigh distribution
dc.typeArticle

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