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SINE MODI - G FAMILY OF DISTRIBUTIONS WITH APPLICATIONS
Keywords:
exponential distribution, order statistics, MLE, Hazard rate, survival functionDOI:
https://doi.org/10.17654/0972361726001Abstract
In this paper, we introduce a new family of probability distributions called the Modi - G family and derive its linear representation of the family. By applying the exponential distribution within this framework, we develop a specific case termed the Sine Modi exponential (SME) distribution. This model generalizes the exponential distribution, offering enhanced flexibility for modeling lifetime and survival data. We derive some fundamental properties of the SME distribution, including its probability density function, cumulative distribution function, survival function, hazard rate, quantile function, linear representation, moments, moment generating function and order statistics. Parameter estimation is performed using the method of maximum likelihood. To evaluate the applicability of the proposed model, three real-world datasets are analyzed. The findings demonstrate that the proposed model outperforms several existing models considered in the study.
Received: July 4, 2025
Revised: September 2, 2025
Accepted: November 26, 2025
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