THE TRANSMUTED GAMMA-GOMPERTZ DISTRIBUTION

  • Rwabi Azzwideen Al al-Bayt University, Department of Mathematics, Mafraq (25113), Jordan
  • Loai M. Al-Zou’bi Al al-Bayt University, Department of Mathematics, Mafraq (25113), Jordan https://orcid.org/0000-0002-8795-4100
Keywords: Transmuted Gamma-Gompertz, Distribution, Moments, Skewness, Reliability, Hazard Rate Function, Kurtosis, Entropy, Order Statistics, Quantile Function, Median

Abstract

This article introduces a four-parameter probability model which represents a gener- alization of the the Gamma-Gompertz distribution using the quadratic rank trans- mutation map. The proposed model is named the Transmuted Gamma-Gompertz distribution. We provide explicit expressions for its statistical properties, moment generating function, quantile function, the order statistics, the quantile function and the median. We estimate the parameters of the distribution using the maximum likelihood method of estimation.

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Published
2020-11-03
How to Cite
AzZwideen, R., & Zou’bi, L. M. A. (2020). THE TRANSMUTED GAMMA-GOMPERTZ DISTRIBUTION. International Journal of Research -GRANTHAALAYAH, 8(10), 236 -248. https://doi.org/10.29121/granthaalayah.v8.i10.2020.1892