The inverted exponentiated Chen distribution with application to cancer data

Japanese Journal of Statistics and Data Science - Tập 6 - Trang 213-241 - 2023
Reza Azimi1, Mahdy Esmailian1, Diego I. Gallardo2
1Department of Statistics and Computer Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
2Departamento de Matematica, Facultad de Ingenieria, Universidad de Atacama, Copiapo, Chile

Tóm tắt

This article defines a new inverted exponentiated Chen (IEC) distribution, which has upside-down bathtub shape and increasing hazard function. A detailed analysis (along with a graphical analysis) of the density and hazard rate function is carried out. The maximum likelihood and Bayesian methods are discussed to estimate the parameters of the IEC distribution based on a right censored scheme. The Lindley approximation is used to obtain the Bayes estimator under squared error and LINEX loss functions. Observed Fisher information matrix and asymptotic confidence intervals of parameters are derived. Also, we conduct the numerical simulation to compare the accuracy of the various estimators through the mean square error (MSE) values. Finally, four cancer datasets are analyzed to illustrate the applicability and flexibility of the IEC distribution.

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Japanese Journal of Statistics and Data Science

Tập 6

213-241

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