The burr-weibull power series class of distributions

Abstract:

A new generalized class of distributions called the Burr-Weibull Power Series (BWPS) class of distributions is developed and explored. This class of distributions generalizes the Burr power series and Weibull power series classes of distributions, respectively. A special model of the BWPS class of distributions, the new Burr-Weibull Poisson (BWP) distribution is considered and some of its mathematical properties are obtained. The BWP distribution contains several new and well known sub-models, including Burr-Weibull, Burrexponential Poisson, Burr-exponential, Burr-Rayleigh Poisson, Burr-Rayleigh, Burr-Poisson, Burr, Lomax-exponential Poisson, Lomax-Weibull, Lomax-exponential, Lomax-Rayleigh, Lomax-Poisson, Lomax, Weibull, Rayleigh and exponential distributions. Maximum likelihood estimation technique is used to estimate the model parameters followed by a Monte Carlo simulation study. Finally an application of the BWP model to a real data set is presented to illustrate the usefulness of the proposed class of distributions.

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APA

Broderick, O (2024). The burr-weibull power series class of distributions. Afribary. Retrieved from https://tracking.afribary.com/works/the-burr-weibull-power-series-class-of-distributions

MLA 8th

Broderick, Oluyede "The burr-weibull power series class of distributions" Afribary. Afribary, 30 Mar. 2024, https://tracking.afribary.com/works/the-burr-weibull-power-series-class-of-distributions. Accessed 26 Apr. 2025.

MLA7

Broderick, Oluyede . "The burr-weibull power series class of distributions". Afribary, Afribary, 30 Mar. 2024. Web. 26 Apr. 2025. < https://tracking.afribary.com/works/the-burr-weibull-power-series-class-of-distributions >.

Chicago

Broderick, Oluyede . "The burr-weibull power series class of distributions" Afribary (2024). Accessed April 26, 2025. https://tracking.afribary.com/works/the-burr-weibull-power-series-class-of-distributions

The burr-weibull power series class of distributions

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