Parameter estimation for power function-lognormal composite distribution

Chao Wang

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 9, 2966-2982

Abstract: In this paper, a new kind of composite model, the power function–lognormal composite (PFLC), is proposed. Four estimators of the new distribution are discussed. These are maximum likelihood, moment, nonlinear least squares, and Bayes estimators. A simulation study is performed, and numerical computations are carried out to demonstrate the performance of the proposed methods. Finally, datasets concerning annual income and insurance claims data are analyzed for illustrative purposes.

Date: 2023
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DOI: 10.1080/03610926.2021.1965622

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