The Generalized Alpha Exponent Power Family of Distributions: Properties and Applications

Sajid Hussain, Muhammad Sajid Rashid, Mahmood Ul Hassan and Rashid Ahmed
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Sajid Hussain: Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Muhammad Sajid Rashid: Department of Computer Science, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Mahmood Ul Hassan: Department of Statistics, Stockholm University, SE-106 91 Stockholm, Sweden
Rashid Ahmed: Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Mathematics, 2022, vol. 10, issue 9, 1-19

Abstract: Here, a new method is recommended to characterize a new continuous distribution class, named the generalized alpha exponent power family of distributions (GAEPFDs). A particular sub-model is presented for exemplifying the objective. The basic statistical properties, such as ordinary moments, the probability weighted moments, mode, quantile, order statistics, entropy measures, and moment generating functions, etc., were explored. To gauge the GAEPPRD parameters, the ML technique was utilized. The estimator behaviour was studied by a Monte Carlo simulation study (MCSS). The effectiveness of GAEPFDs was demonstrated observationally through lifetime data. The applications show that GAEPFDs can offer preferable results over other competitive models.

Keywords: Monte Carlo simulation; moments; G-family; maximum likelihood estimation; power Rayleigh distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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