Journal article
The Marshall-Olkin-Topp-Leone-Gompertz-G Family of Distributions with Applications
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Publication Details Author list: Oluyede Broderick, Gabanakgosi, Morongwa, Warahena-Liyanage, Gayan Publication year: 2024 Journal: Statistics, Optimization & Information Computing Volume number: 12 Issue number: 4 Start page: 882 End page: 906 Number of pages: 25 |
A new family of distributions called the Marshall-Olkin-Topp-Leone-Gompertz-G (MO-TL-Gom-G) distribution is developed and studied in detail. Some mathematical and statistical properties of the new family of distributions are explored. Statistical properties of the new family of distributions considered are the quantile function, moments and generating function, probability weighted moments, distribution of the order statistics and Renyi entropy. The maximum likelihood technique is used for estimating the model parameters and Monte Carlo simulation is conducted to examine the performance of the model. Finally, we give examples of real-life data applications to show the usefulness of the above mentioned Topp-Leone-Gompertz generalization
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