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ARCTAN KAVYA-MANOHARAN-G CLASS OF DISTRIBUTIONS WITH MODELLING IN DIFFERENT FIELDS
Keywords:
arctan-G family, Kavya-Manoharan-G family, maximum likelihood, quantile, moments.DOI:
https://doi.org/10.17654/0972361724021Abstract
We propose the arctan Kavya-Manoharan-G (AKM-G) family of distributions by combining the arctan-G family of distributions and the Kavya-Manoharan-G family of distributions. The new suggested AKM-G family can be more adaptable because the density forms can be decreased, right skewed, uni-modal, and reversed-J. Four different submodels have been developed and explored. It derives several significant features. For the AKM-G family of parameters, maximum likelihood equations are generated. A simulation experiment is conducted to assess the efficacy of the maximum likelihood estimation method. The significance and adaptability of the developed models are evaluated using four real-world dataset samples.
Received: October 26, 2023
Accepted: November 30, 2023
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