Year: 2025
Type: article
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.
DOI: 10.1155/jpas/3643496
Authors: Shahid Mohammad, Arjun Kumar Gaire
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,130
OpenAlex ID: W4413022781