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## Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring

#### Yuzhu Tian [1] , Aijun Yang [2] , Erqian Li [3] , Maozai Tian [4]

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The type-II progressive hybrid censoring scheme, which is a mixture of type-II progressive and hybrid censoring schemes, has become substantially fashionable due to its flexibility of allowing for random removals of the remaining survival units at each failure time and terminating
the experiment at a pre-specied time. In the literature, this censoring scheme has been used to analyze lifetime data for general population
distributions such as exponential distributions and Weibull distributions. However, we seldom focus on parameter estimations for the mixture distribution, which is an important class of models in reliability analysis. This paper aims to investigate the estimation problem of mixed generalized inverted exponential distribution (MGIED) under the type-II progressive hybrid censoring scheme. The maximum likelihood estimators (MLEs) of the model are obtained via EM algorithm. Some simulations are implemented and a case of analysis is provided to illustrate the proposed method.
Type-II progressive hybrid censoring, Mixed generalized inverted exponential distribution (MGIED), EM algorithm
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Primary Language en Mathematics Statistics Author: Yuzhu Tian (Primary Author) Author: Aijun Yang Author: Erqian Li Author: Maozai Tian Publication Date: August 1, 2018
 Bibtex @research article { hujms453620, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe University}, year = {2018}, volume = {47}, pages = {1023 - 1039}, doi = {}, title = {Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring}, key = {cite}, author = {Tian, Yuzhu and Yang, Aijun and Li, Erqian and Tian, Maozai} } APA Tian, Y , Yang, A , Li, E , Tian, M . (2018). Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring. Hacettepe Journal of Mathematics and Statistics, 47 (4), 1023-1039. Retrieved from http://dergipark.org.tr/hujms/issue/38872/453620 MLA Tian, Y , Yang, A , Li, E , Tian, M . "Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1023-1039 Chicago Tian, Y , Yang, A , Li, E , Tian, M . "Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1023-1039 RIS TY - JOUR T1 - Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring AU - Yuzhu Tian , Aijun Yang , Erqian Li , Maozai Tian Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1023 EP - 1039 VL - 47 IS - 4 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring %A Yuzhu Tian , Aijun Yang , Erqian Li , Maozai Tian %T Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 4 %R %U ISNAD Tian, Yuzhu , Yang, Aijun , Li, Erqian , Tian, Maozai . "Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring". Hacettepe Journal of Mathematics and Statistics 47 / 4 (August 2018): 1023-1039. AMA Tian Y , Yang A , Li E , Tian M . Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring. Hacettepe Journal of Mathematics and Statistics. 2018; 47(4): 1023-1039. Vancouver Tian Y , Yang A , Li E , Tian M . Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring. Hacettepe Journal of Mathematics and Statistics. 2018; 47(4): 1039-1023.