The Bivariate Modified Exponential Geometric Distribution: Model, Properties and Applications
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 157
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شناسه ملی سند علمی:
JR_IJMAC-11-4_005
تاریخ نمایه سازی: 27 دی 1401
چکیده مقاله:
In this paper, we have introduced a five‐parameter bivariate model by taking a geometric minimum of the modified exponential distributions. It is observed that the maximum likelihood estimators of the unknown parameters cannot be obtained in closed form. We propose to use the EM algorithm to compute the maximum likelihood estimators of the unknown parameters. A number of simulation experiments have been performed to determine the effectiveness of the proposed EM algorithm. We analyze two datasets for illustrative purposes, and it is observed that the proposed models and the expectation‐maximization algorithm perform at a satisfactory level.
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نویسندگان
Ahmadreza Zanboori
Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Karim Zare
Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Zahra Khodadadi
Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran