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Heidarkhani, Bakhtiar, Deiri, Einolah, Homozinejad, Farshin, Khodamoradi, Mohammad. (1401). The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data. , (), -. doi: 10.30495/jnrm.2022.61459.2107
Bakhtiar Heidarkhani; Einolah Deiri; Farshin Homozinejad; Mohammad Khodamoradi. "The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data". , , , 1401, -. doi: 10.30495/jnrm.2022.61459.2107
Heidarkhani, Bakhtiar, Deiri, Einolah, Homozinejad, Farshin, Khodamoradi, Mohammad. (1401). 'The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data', , (), pp. -. doi: 10.30495/jnrm.2022.61459.2107
Heidarkhani, Bakhtiar, Deiri, Einolah, Homozinejad, Farshin, Khodamoradi, Mohammad. The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data. , 1401; (): -. doi: 10.30495/jnrm.2022.61459.2107

The Most Efficient Estimator of CDF and PDF under Progressive type- II Censored Data

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 تیر 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2022.61459.2107
نویسندگان
Bakhtiar Heidarkhani1؛ Einolah Deiri email orcid 2؛ Farshin Homozinejad1؛ Mohammad Khodamoradi3
1Department of Statistics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
2Department Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
3Department of Statistics, Izeh Branch, Islamic Azad University, Izeh, Iran
چکیده
The main purpose of the present study is to obtain the most efficient estimator of probability density function (PDF) cumulative distribution function (CDF) and exponential distribution based on censored data in which the censored data is the result of the second type of progressive censor sampling design. The classical estimators that we examine in this study are the unequal estimator with the least uniform variance (UMVUE) the maximum likelihood estimator (MLE) the least squares estimator (LSE) and the weighted least squares estimator (WLSE) The efficiency criterion employed in this article is the integral of the mean power of the second error. Due to the complexity of the formulas calculated for MISE, the proposed estimators use numerical methods to compare the performance of these estimators. In this case The results are simulated through the Monte Carlo (MC MC) method with 1000 iterations. Finally, using real data, we examine the proposed estimators.
کلیدواژه‌ها
Exponential distribution؛ Integral of the mean power of the squre error؛ Progressive Type-II Censoring
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