The fractional discrete Weibull distribution
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 68
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شناسه ملی سند علمی:
JR_JSMTA-3-2_007
تاریخ نمایه سازی: 23 خرداد 1403
چکیده مقاله:
The two-parameter discrete Weibull distribution is an important model especially in reliability studies when the data are reported on a discrete scale. The hazard rate function of a discrete Weibull distribution is monotonically increasing and decreasing. The present paper provides a family of parametric discrete distributions which is an infinite mixture of exponentiated discrete Weibull distributions, and versatile in fitting increasing, decreasing, and bathtub-shaped failure rate models to different discrete life-test data. Some important distributional properties of the model such as the moments, order statistics, and infinite divisibility are investigated and the parameters of the distribution are estimated by the maximum likelihood method. In addition, a real data set is analyzed to show the effectiveness of the model. Finally we conclude the paper.
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نویسندگان
Vahid Nekoukhou
Department of Statistics, Khansar Campus, University of Isfahan, Iran.