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The Marshall-Olkin Odd Burr III-G Family: Theory, Estimation, and Engineering Applications

Afify, Ahmed Z ; Cordeiro, Gauss M ; Ibrahim, Noor Akma ; Jamal, Farrukh ; Elgarhy, Mohamed ; Nasir, Mohamed Arslan

Access, IEEE, 2021, Vol.9, p.4376-4387

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Título:
The Marshall-Olkin Odd Burr III-G Family: Theory, Estimation, and Engineering Applications
Autor: Afify, Ahmed Z ; Cordeiro, Gauss M ; Ibrahim, Noor Akma ; Jamal, Farrukh ; Elgarhy, Mohamed ; Nasir, Mohamed Arslan
Assuntos: Burr III distribution ; engineering data ; exponential distribution ; Hazards ; Mathematical model ; maximum likelihood ; Maximum likelihood estimation ; parameter estimation ; Probability density function ; Random variables ; Shape ; stochastic ordering
É parte de: Access, IEEE, 2021, Vol.9, p.4376-4387
Descrição: We propose a new flexible class called the Marshall-Olkin odd Burr III family for generating continuous distributions and derive some of its statistical properties. We provide three special models which accommodate symmetrical, right-skewed and left-skewed shaped densities as well as bathtub, decreasing, increasing, reversed-J shaped and upside-down bathtub failure rate functions. The parameters are estimated by maximum likelihood, least squares and a percentile method. Some simulations investigate the accuracy of the three methods. We illustrate the utility of a special model through three applications to engineering field.
Editor: IEEE
Idioma: Inglês

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