Estimating Accelerated Life Test Using Constant Stress for Inverse Gaussian Distribution under Type-II Censoring

نوع المستند : المقالة الأصلية

المؤلف

S. A-EL. Shaban , F. A. khalil H. M. Aly and R. M. Hasan Professor of Statistics, Department of Mathematical Statistics, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt. Associate Professor of Statistics, Department of Statistics, Faculty of Commerce, AL-Azhar University, Girls’ Branch, Cairo, Egypt. Mail: dr_fkhalil@yahoo.com. Associate Professor of Statistics, Department of Statistics, Faculty of Economics & Political Science, Cairo University, Cairo, Egypt, Mail: han_m_hasan@yahoo.com. Ph.D. Student, Department of Statistics, Faculty of Commerce, AL-Azhar University, Girls’ Branch, Cairo, Egypt, Mail:eslam_dfg2002@yahoo.com.

المستخلص

In this paper, the statistical inference of accelerated life tests under Type-II censoring is studied for constant stress accelerated life tests. It is assumed that the lifetime at design stress has inverse Gaussian distribution. The scale parameter of the lifetime distribution at constant stress levels is assumed to be an inverse power law function of the stress level. The model parameters and the reliability function are estimated using the maximum likelihood method. Asymptotic Fisher information matrix, the asymptotic variance-covariance matrix and the confidence intervals are founded. The predictive value of the scale parameter and the reliability function under the usual conditions are obtained under Type-II censoring. Finally, some numerical illustrations by using Monte Carlo simulations are introduced to illustrate the proposed procedures.

نقاط رئيسية


: Accelerated life test; Constant stress; Type-II censoring; Maximum likelihood estimation; Fisher information matrix; Inverse Gaussian distribution.

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