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      저자 : Marwa KH. Hassan (검색결과 3 건)
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      • The Kumaraswamy exponential-weibull distribution and its application in reliability

        Marwa KH. Hassan 한국신뢰성학회 2018 International Journal of Reliability and Applicati Vol.19 No.2

        Kumaraswamy exponential-Weibull (KwEW) distribution generalizes a number of well-known special lifetime model such as the Weibull, exponential, Rayleigh, modified Rayleigh, modified exponential and exponentiated Weibull distributions among others. We consider in this paper the estimation problem of reliability parameter R = P(Y < X) when X and Y are distributed as two independent Kumaraswamy exponential-Weibull distribution. Maximum likelihood method and Bayesian technique have been used to estimate R . A simulation study has been used to assess the performance of maximum likelihood estimator in term of the sample size n . Real data is used as a practical application of proposed procedure.

      • Comparison of different estimators of P(Y<X) for two parameter Lindley distribution

        Marwa KH. Hassan 한국신뢰성학회 2017 International Journal of Reliability and Applicati Vol.18 No.2

        Stress-strength reliability problems arise frequently in applied statistics and related fields. In the context of reliability, the stress–strength model describes the life of a component, which has a random strength X and is subjected to random stress Y. The component fails at the instant that the stress applied to it exceeds the strength and the component will function satisfactorily whenever X > Y. The problem of estimation the reliability parameter in a stress-strength model R = P[Y < X ] , when X and Y are two independent two-parameter Lindley random variables is considered in this paper. The maximum likelihood estimator (MLE) and Bayes estimator of R are obtained. Also, different confidence intervals of R are obtained. Simulation study is performed to compare the different proposed estimation methods. Example in real data is used as practical application of the proposed procedure.

      • Comparison of different estimators of P(Y<X) for two parameter Lindley distribution

        Hassan, Marwa KH. The Korean Reliability Society 2017 International Journal of Reliability and Applicati Vol.18 No.2

        Stress-strength reliability problems arise frequently in applied statistics and related fields. In the context of reliability, the stress-strength model describes the life of a component, which has a random strength X and is subjected to random stress Y. The component fails at the instant that the stress applied to it exceeds the strength and the component will function satisfactorily whenever X > Y. The problem of estimation the reliability parameter in a stress-strength model R = P[Y < X], when X and Y are two independent two-parameter Lindley random variables is considered in this paper. The maximum likelihood estimator (MLE) and Bayes estimator of R are obtained. Also, different confidence intervals of R are obtained. Simulation study is performed to compare the different proposed estimation methods. Example in real data is used as practical application of the proposed procedure.

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