A new Lindley-Burr XII power series distribution: model, properties and applications

Abstract:

A new generalized class of distributions called the Lindley-Burr XII Power Series (LBXIIPS) distribution is proposed and explored. This new class of distributions contain some special cases such as Lindley-Burr XII Poisson (LBXIIP), Lindley-Burr XII Logarithmic (LBXIIL), Lindley-Burr XII Binomial (LBXIIB) and their sub-models among others. Some structural properties of the new distribution including moments, probability weighted moments, distribution of the order statistics and entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators is presented and finally, an application to a real data set in order to illustrate the usefulness of the new distribution is given.

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APA

Boikanyo, M (2024). A new Lindley-Burr XII power series distribution: model, properties and applications. Afribary. Retrieved from https://afribary.com/works/a-new-lindley-burr-xii-power-series-distribution-model-properties-and-applications

MLA 8th

Boikanyo, Makubate "A new Lindley-Burr XII power series distribution: model, properties and applications" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/a-new-lindley-burr-xii-power-series-distribution-model-properties-and-applications. Accessed 14 Mar. 2025.

MLA7

Boikanyo, Makubate . "A new Lindley-Burr XII power series distribution: model, properties and applications". Afribary, Afribary, 30 Mar. 2024. Web. 14 Mar. 2025. < https://afribary.com/works/a-new-lindley-burr-xii-power-series-distribution-model-properties-and-applications >.

Chicago

Boikanyo, Makubate . "A new Lindley-Burr XII power series distribution: model, properties and applications" Afribary (2024). Accessed March 14, 2025. https://afribary.com/works/a-new-lindley-burr-xii-power-series-distribution-model-properties-and-applications

A new Lindley-Burr XII power series distribution: model, properties and applications

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