Classical and Bayesian estimation for type-I extended-F family with an actuarial application

In this work, a new flexible class, called the type-I extended-F family, is proposed. A special sub-model of the proposed class, called type-I extended-Weibull (TIEx-W) distribution, is explored in detail. Basic properties of the TIEx-W distribution are provided. The parameters of the TIEx-W distrib...

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Veröffentlicht in:PloS one 2023-02, Vol.18 (2), p.e0275430
Hauptverfasser: Alfaer, Nada M, Bandar, Sarah A, Kharazmi, Omid, Al-Mofleh, Hazem, Ahmad, Zubair, Afify, Ahmed Z
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Bandar, Sarah A
Kharazmi, Omid
Al-Mofleh, Hazem
Ahmad, Zubair
Afify, Ahmed Z
description In this work, a new flexible class, called the type-I extended-F family, is proposed. A special sub-model of the proposed class, called type-I extended-Weibull (TIEx-W) distribution, is explored in detail. Basic properties of the TIEx-W distribution are provided. The parameters of the TIEx-W distribution are obtained by eight classical methods of estimation. The performance of these estimators is explored using Monte Carlo simulation results for small and large samples. Besides, the Bayesian estimation of the model parameters under different loss functions for the real data set is also provided. The importance and flexibility of the TIEx-W model are illustrated by analyzing an insurance data. The real-life insurance data illustrates that the TIEx-W distribution provides better fit as compared to competing models such as Lindley-Weibull, exponentiated Weibull, Kumaraswamy-Weibull, α logarithmic transformed Weibull, and beta Weibull distributions, among others.
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subjects Bayes Theorem
Bayesian analysis
Bayesian statistical decision theory
Computer Simulation
Engineering and Technology
Estimates
Evaluation
Information management
Insurance
Likelihood Functions
Mathematical models
Maximum likelihood method
Medicine and Health Sciences
Modelling
Monte Carlo Method
Monte Carlo simulation
Parameter estimation
Parameters
People and places
Physical Sciences
Random variables
Research and Analysis Methods
Social Sciences
Statistical Distributions
Statistics
Weibull distribution
title Classical and Bayesian estimation for type-I extended-F family with an actuarial application
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