*KCI등재*

*학술저널*

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*Reliability Estimation in the Mixed Distribution of Exponential and Geometric Distributions*

- Hee Jae Kim
- 한국자료분석학회
- Journal of The Korean Data Analysis Society (JKDAS)
- Vol.14 No.2
- 등재여부 : KCI등재
- 2012.04
- 597 - 606 (10 pages)

The exponential and geometric distributions have been recognized as a useful model for survival model associated with reliability studies and life testing experiments. This paper deals with estimating reliability from a mixture of exponential and geometric distributions. First, the maximum likelihood estimation is used to estimate the reliability of mixed model when data are grouped and Type-1 censored. Second, the Bayesian estimation is used to estimate the reliability. Third, the plug-in estimation is used to estimate the reliability. Forth, the mean square error of maximum likelihood estimator (MLE) is obtained. Finally, Bayesian and plug-in estimators for MLE will be compared numerically in the terms of various mission times, parameter values in the sense of asymptotic relative efficiency through Monte Carlo simulation.

1. Introduction

2. The Mixture of Exponential and Geometric Distributions

3. The Method of Reliability Estimation

4. Numerical Examples and Conclusion

Reference