Bayesian Estimation of a New Pareto-Type Distribution Based on Mixed Gibbs Sampling Algorithm

Author:

Li Fanqun1,Wei Shanran1,Zhao Mingtao1ORCID

Affiliation:

1. Institute of Statistics and Applied Mathematics, Anhui University of Finance & Economics, Bengbu 233000, China

Abstract

In this paper, based on the mixed Gibbs sampling algorithm, a Bayesian estimation procedure is proposed for a new Pareto-type distribution in the case of complete and type II censored samples. Simulation studies show that the proposed method is consistently superior to the maximize likelihood estimation in the context of small samples. Also, an analysis of some real data is provided to test the Bayesian estimation.

Funder

Anhui Province Foundation

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference19 articles.

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4. Pareto, V. (1897). Cours d’Économie Politique, F.Rouge.

5. Jonhson, N.L., Kotz, S., and Balakrishnan, N. (1994). Continuous Univariate Distributions, John Willey and Sons. Chapter 18.

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