2020•Journal of Scientific Research and ReportsOpen access

Cubic Transformation of Exponential Weibull and its Statistical Properties

Haiyue Wang, Zhenhua Bao

Abstract

In this paper, a cubic transformation exponential Weibull distribution is proposed by using the family of cubic transformation distributions introduced by Rahman et al.The reasoning process of the proposed cubic transformation exponential Weibull distribution is discussed in detail, and its statistical properties and parameter estimation are also discussed.Using real data, the maximum likelihood estimation is used to simulate. Through the comparison of fitting results, it is concluded that the cubic transformation exponential Weibull distribution proposed in this paper has stronger applicability.

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Key concepts: Weibull distribution, Natural exponential family, Transformation (genetics), Exponential function, Exponential distribution, Mathematics, Exponential family, Applied mathematics