Estimation of the PDF and the CDF of the two-parameter exponential distribution for type-II censored sample
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 85
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شناسه ملی سند علمی:
JR_JSMTA-1-2_010
تاریخ نمایه سازی: 19 اردیبهشت 1401
چکیده مقاله:
The article addresses different estimators of the probability density function and the cumulative distribution function for the two-parameter exponential distribution for type-II censored sample. Following estimation methods are considered: maximum likelihood estimator, uniformly minimum variance unbiased estimator and plug-in uniformly minimum variance unbiased estimator. Analysis of real data sets are performed to compare the performances of the proposed methods of estimation. The maximum likelihood estimators of the PDF and the CDF are performing better in mean squared error sense. In case of unknown location and known scale parameter, plug-in uniformly minimum variance unbiased estimator is performing better.
کلیدواژه ها:
Maximum likelihood estimator ، Plug-in uniformly minimum variance unbiased estimator ، Uniformly minimum variance unbiased estimator
نویسندگان
Indrani Mukhrejee
Department of Statistics, Visva-Bharati University, Santiniketan, West Bengal, India
Sudhansu S. Maiti
Department of Statistics, Visva-Bharati University, Santiniketan, West Bengal, India