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

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

Distribution, Gamma, Exponential, moment generating function, maximum likelihood

1. Albalawi, O., Kabdwal, N. C., Azhad, Q. J., Hora, R., and Alsaedi, B. S. O. (2022). “Estimation of the Generalized Logarithmic Transformation Exponential Distribution under Progressively Type-II Censored Data with Application to the COVID-19 Mortality Rates”. Mathematics 10, (1015), https://doi.org/10.3390/ math10071015. [Google Scholar] [Crossref]

2. Ali T. M., Mayssa J. M., Muna, D. S., and Rabha W. I. (2021). “The inverse exponential Rayleigh distribution and related concepts”. Italian Journal of Pure And Applied Mathematics, 47(2), 852–861. [Google Scholar] [Crossref]

3. Aksoy, H. (2000). “Use of Gamma Distribution in Hydrological Analysis”, Turkish Journal of Engineering and Environmental Science, Turkey. 24(1), 419 – 428. [Google Scholar] [Crossref]

4. Philip, J. B. (2007). “Statistical and Probabilistic Methods in Actuarial Science”, Chapman & Hall CRC 2007 ISBN 9781584886952 -C6951 Series: Chapman & Hall/CRC Interdisciplinary Statistics. 4(3). [Google Scholar] [Crossref]

5. Nasiru, S., (2018). “Extended Odd Frechet-G family of Distributions”, Journal of Probability and Statistics. 3(1): 23-30. doi.org/10.1155/2018/2932326. [Google Scholar] [Crossref]

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