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.
Rao∗, G & Mbwambo†, S (2021). Estimation Of Stress–Strength Reliability From Exponentiated Inverse Rayleigh Distribution. Afribary. Retrieved from https://afribary.com/works/estimation-of-stress-strength-reliability-from-exponentiated-inverse-rayleigh-distribution
Rao∗, G. and Sauda Mbwambo† "Estimation Of Stress–Strength Reliability From Exponentiated Inverse Rayleigh Distribution" Afribary. Afribary, 23 Apr. 2021, https://afribary.com/works/estimation-of-stress-strength-reliability-from-exponentiated-inverse-rayleigh-distribution. Accessed 19 May. 2024.
Rao∗, G., Sauda Mbwambo† . "Estimation Of Stress–Strength Reliability From Exponentiated Inverse Rayleigh Distribution". Afribary, Afribary, 23 Apr. 2021. Web. 19 May. 2024. < https://afribary.com/works/estimation-of-stress-strength-reliability-from-exponentiated-inverse-rayleigh-distribution >.
Rao∗, G. and Mbwambo†, Sauda . "Estimation Of Stress–Strength Reliability From Exponentiated Inverse Rayleigh Distribution" Afribary (2021). Accessed May 19, 2024. https://afribary.com/works/estimation-of-stress-strength-reliability-from-exponentiated-inverse-rayleigh-distribution