The exponentiated generalized power series: family of distributions: theory, properties and applications

Abstract:

We propose a new generalized family of distributions called the exponentiated generalized power series (EGPS) family of distributions and study its sub-model, the exponentiated generalized logarithmic (EGL) class of distributions, in detail. The structural properties of the new model (EGPS) and its sub-model (EGL) distribution including moments, order statistics, Rényi entropy, and maximum likelihood estimates are derived. We used the method of maximum likelihood to estimate the parameters of this new family of distributions. Simulation study was carried out to examine the bias and the mean square error of the maximum likelihood estimators for each of the model's parameters. Finally, we showed real life data examples to illustrate the models' applicability, flexibility and usefulness.
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APA

Broderick, O (2024). The exponentiated generalized power series: family of distributions: theory, properties and applications. Afribary. Retrieved from https://afribary.com/works/the-exponentiated-generalized-power-series-family-of-distributions-theory-properties-and-applications

MLA 8th

Broderick, Oluyede "The exponentiated generalized power series: family of distributions: theory, properties and applications" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/the-exponentiated-generalized-power-series-family-of-distributions-theory-properties-and-applications. Accessed 26 May. 2024.

MLA7

Broderick, Oluyede . "The exponentiated generalized power series: family of distributions: theory, properties and applications". Afribary, Afribary, 30 Mar. 2024. Web. 26 May. 2024. < https://afribary.com/works/the-exponentiated-generalized-power-series-family-of-distributions-theory-properties-and-applications >.

Chicago

Broderick, Oluyede . "The exponentiated generalized power series: family of distributions: theory, properties and applications" Afribary (2024). Accessed May 26, 2024. https://afribary.com/works/the-exponentiated-generalized-power-series-family-of-distributions-theory-properties-and-applications