A New Three-Parameter Lifetime Model: Properties and Applications

Authors

  • Rania H. M. Abdelkhalek Department of Statistics, Mathematics and Insurance, Benha University, Egypt

Keywords:

Burr X family, Morgenstern family, Clayton copula, Nadarajah-Haghighi model, MomentsL modeling, simulations, failure rate, order statistics

Abstract

A new three-parameter flexible version from the Nadarajah Haghighi model based on Lemonte (2013) is proposed and studied. Statistical properties of the new version are derived. A numerical analysis for the variance, skewness and kurtosis is presented as well as three-dimensional plots are sketched for discovering the flexibility of the new model. A simple type copula based construction is
presented for deriving many bivariate and multivariate type distributions. Parameter estimates process are conducted by the well-known method of maximum likelihood. Numerical illustration of real data set is employed to compare the new model with other competitive models. A numerical simulations are executed to test performance of the used method.

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Published

2022-12-29

How to Cite

H. M. Abdelkhalek, R. . (2022). A New Three-Parameter Lifetime Model: Properties and Applications. Thailand Statistician, 21(1), 1–18. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/248014

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Articles