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Accelerated Life Testing Design Using Geometric Process for Marshall-Olkin Extended Exponential Distribution With Type II Censored Data


Affiliations
1 Dept. of Statistics & Operations Research, Aligarh Muslim University, Aligarh, U.P., India
 

In this paper the geometric process is used for the analysis of accelerated life testing for Marshall-Olkin Extended Exponential (MOEE) distribution using Type II censored data. Assuming that the lifetimes under increasing stress levels form a geometric process, The parameters are estimated by using the maximum likelihood method and the original parameters instead of the developing inference for the parameters of the log linear link function are used. The asymptotic interval estimates of the parameters of the distribution using Fisher information matrix are also obtained. The simulation study is conducted to illustrate the statistical properties of the parameters and the confidence intervals.

Keywords

Maximum Likelihood Estimation, Type II Censoring, Survival Function, Fisher Information Matrix, Asymptotic Confidence Interval, Simulation Study.
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  • Accelerated Life Testing Design Using Geometric Process for Marshall-Olkin Extended Exponential Distribution With Type II Censored Data

Abstract Views: 145  |  PDF Views: 0

Authors

Sadia Anwar
Dept. of Statistics & Operations Research, Aligarh Muslim University, Aligarh, U.P., India
Sana Shahab
Dept. of Statistics & Operations Research, Aligarh Muslim University, Aligarh, U.P., India
Arif-Ul-Islam
Dept. of Statistics & Operations Research, Aligarh Muslim University, Aligarh, U.P., India

Abstract


In this paper the geometric process is used for the analysis of accelerated life testing for Marshall-Olkin Extended Exponential (MOEE) distribution using Type II censored data. Assuming that the lifetimes under increasing stress levels form a geometric process, The parameters are estimated by using the maximum likelihood method and the original parameters instead of the developing inference for the parameters of the log linear link function are used. The asymptotic interval estimates of the parameters of the distribution using Fisher information matrix are also obtained. The simulation study is conducted to illustrate the statistical properties of the parameters and the confidence intervals.

Keywords


Maximum Likelihood Estimation, Type II Censoring, Survival Function, Fisher Information Matrix, Asymptotic Confidence Interval, Simulation Study.