TIAN YuZhu, HAN XueFeng, TIAN MaoZai, . mixed exponential distribution (MED); hybrid censoring; maximum likelihood estimation (MLE); EM algorithm[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(2): 191-202.
Citation:
TIAN YuZhu, HAN XueFeng, TIAN MaoZai, . mixed exponential distribution (MED); hybrid censoring; maximum likelihood estimation (MLE); EM algorithm[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(2): 191-202.
TIAN YuZhu, HAN XueFeng, TIAN MaoZai, . mixed exponential distribution (MED); hybrid censoring; maximum likelihood estimation (MLE); EM algorithm[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(2): 191-202.
Citation:
TIAN YuZhu, HAN XueFeng, TIAN MaoZai, . mixed exponential distribution (MED); hybrid censoring; maximum likelihood estimation (MLE); EM algorithm[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(2): 191-202.
School of Mathematics and Statistics, Henan University of Science and Technology
School of Mathematics and Information Science, Henan Polytechnic University
Center for Applied Statistics, Renmin University of China.
Funds: The project was partly supported by the National Natural Science Foundation of China (Grant Nos. 11501167; 11271368), the Key Scientific Research Project of Henan Province Universities (Grant No. 15A110025) and the Doctoral Scientific Research Foundation of Henan University of Science and Technology (Grant No. 4010-13480049).
The hybrid censoring scheme is a mixture of type-I and type-II censoring schemes. It is a popular censoring scheme in the literature of life data analysis. Mixed exponential distribution (MED) models is a class of favorable models in reliability statistics. Nevertheless, there is no much discussion to focus on parameters estimation for MED models with hybrid censored samples. We will address this problem in this paper. The EM (Expectation-Maximization) algorithm is employed to derive the closed form of the maximum likelihood estimators (MLEs). Finally, Monte Carlo simulations and a real-world data analysis are conducted to illustrate the proposed method.
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