A new alpha power type-۱ family of distributions and modelling the overdispersed count outcome
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 59
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شناسه ملی سند علمی:
JR_JSMTA-3-1_008
تاریخ نمایه سازی: 2 تیر 1403
چکیده مقاله:
In this paper, we introduce a novel family of statistical models called a new alpha power type-۱ family of distributions. Three sub-cases of the family are discussed. Based on the novel family, a special model, explicitly, a new alpha power type-۱-Weibull distribution is studied in depth. The new model has very interesting patterns of failure rates like increasing, decreasing, bathtub, and parabola-down. Hence, it is so flexible. Based on the comparison analysis, among five well-known models, it has an impact on health data analysis. Furthermore, the count data models capable of handling overdispersion and zero-inflation are discussed and applied the real health data. The zero-inflated negative binomial model in the frequentist approach has shown its popularity in handling both overdispersion and zero-inflation simultaneously, while the discrete Weibull model with the logit(q) link in the Bayesian approach outperformed its counterparts.
کلیدواژه ها:
Count models ، Discrete Weibull distribution ، Family of distributions ، New alpha power type-۱ family ، Overdispersion ، Statistical modeling ، Zero-inflation
نویسندگان
Getachew Tekle
Department of Statistics, Yazd University, Yazd, Iran
Rasool Roozegar
Department of Statistics, Yazd University, Yazd, Iran
Hamid Bidram
Department of Statistics, University of Isfahan, Isfahan, Iran