A New Family of Gamma- Exponential-Exponential Distribution Using T-X Approach

Abstract

A new family of continuous distributions called the Gamma-Exponential- Exponential distribution was developed by modifying a newly generated continuous T-X family of distribution called the Gamma-Exponential -X distribution. Statistical properties such as moment generation function, characteristic function, skewness and kurtosis of the newly developed distribution was derived in this paper. Maximum likelihood estimation approach was used to estimate the parameter of the distributions. The distribution is suitable to fit both right and left skewed data. Goodness of fit statistics of the new distribution were computed using an acute leukemia data and compared with that of existing estimators. Gamma-Exponential- Exponential distribution performed better than these well-established estimators. This newly developed Gamma-Exponential-Exponential distribution has proven its efficiency as a real-world analytical model by exhibiting adaptability and efficacy in model fits