Exponential Arctan-G Family of Distribution With Properties and Applications

Shahid Mohammad and Arjun Kumar Gaire

Journal of Probability and Statistics, 2025, vol. 2025, 1-13

Abstract: Recent research in univariate probability distributions has primarily focused on the introduction of novel generators, families, and additional parameters to existing distributions. The objective is to identify a flexible, valid, and reliable distribution capable of effectively accommodating data across diverse domains. This article introduces a new family of probability distributions called the exponential arctan (ExAT) family. Within this family, a submodel named ExAT−W is formulated using a one-parameter Weibull distribution as a baseline distribution. The article presents various statistical properties of the proposed distribution, highlighting its unique bimodal hazard rate function. To demonstrate the practical application of the ExAT−W distribution, two examples involving remission times and melanoma data are provided, demonstrating its flexibility, stability, and applicability in real-world scenarios.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:3643496

DOI: 10.1155/jpas/3643496

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