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Estimation of stress–strength reliability from exponentiated inverse rayleigh distribution

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dc.creator Rao, G. S.
dc.creator Mbwambo, S.
dc.creator Josephat, P. K.
dc.date 2020-03-20T06:43:02Z
dc.date 2020-03-20T06:43:02Z
dc.date 2019
dc.date.accessioned 2022-10-20T13:25:31Z
dc.date.available 2022-10-20T13:25:31Z
dc.identifier 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.
dc.identifier 10.1142/S0218539319500050
dc.identifier http://hdl.handle.net/20.500.12661/2242
dc.identifier.uri http://hdl.handle.net/20.500.12661/2242
dc.description Full Text Article. Also available at: https://www.worldscientific.com/doi/abs/10.1142/S0218539319500050
dc.description 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.
dc.language en
dc.publisher World Scientific Publishing Company
dc.subject Exponential inverse
dc.subject Rayleigh distribution
dc.subject Asymptotic confidence intervals
dc.subject Strength–stress model
dc.subject Bootstrap method
dc.subject Simulation studies
dc.subject Bootstrap confidence intervals.
dc.title Estimation of stress–strength reliability from exponentiated inverse rayleigh distribution
dc.type Article


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