Extended odd Frechet-exponential distribution with applications related to the environment

Muzamil Jallal; Aijaz Ahmed; Rajnee Tripathi

doi:https://doi.org/10.59170/stattrans-2024-018

Extended odd Frechet-exponential distribution with applications related to the environment

Muzamil Jallal Bhagwant University, Ajmer, India , Aijaz Ahmed Bhagwant University, Ajmer, India , Rajnee Tripathi Bhagwant University, Ajmer, India ORCID:https://orcid.org/0000- 0002-0301-9845 Statistics in Transition new series, vol. 25, 2024, 2, pages: 121-136 Published online: 5 June 2024 https://doi.org/10.59170/stattrans-2024-018 Citation: Jallal, M., Ahmed, A., Tripathi, R., 2024. Extended odd Frechet-exponential distribution with applications related to the environment. Statistics in Transition new series, 25(2), pp. 121-136. https://doi.org/10.59170/stattrans-2024-018

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ABSTRACT

In this paper, we attempted to expand the Frechet distribution by employing the T-X family of distributions and named the newly formulated model Extended odd Frechet-exponential distribution (EOFED). Several structural properties, reliability measurements and characteristics were estimated and discussed. The study presents graphs which depict the behaviour of the probability density function, cumulative distribution function and the hazard rate function. The adaptability and flexibility of this novel distribution were achieved through the application of real-world data sets. A simulation study was performed to evaluate and compare the output efficacy of the estimators.

KEYWORDS

Frechet distribution, moments, quantile function, Renyi entropy, maximum likelihood estimation, order statistics.

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