Journal article

The Marshall-Olkin-Topp-Leone-Gompertz-G Family of Distributions with Applications


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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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Last updated on 2025-17-03 at 11:26