Main Article Content
Abstract
This article introduces a novel family of skew distributions namely Bimodal Tanh Skew Normal (BTSN)
distributions, which incorporates a new skew function with the help of hyperbolic tangent function. This
new distribution is designed to accommodate data sets with two modes. Besides, the article presents various
essential mathematical properties, such as moments, moment generating function, characteristic function,
mean deviation, characterizations and the method for maximum likelihood estimation of this distribution.
A simulation study is also conducted using Metropolis–Hastings algorithm to examine the behavior of the
obtained parameters. Furthermore, the practical utility of this new distribution is demonstrated through
a real life application involving a specific data set. To assess the suitability of the BTSN distribution, the
article employs Akaike information criterion (AIC) and Bayesian information criterion (BIC). Finally, a
likelihood ratio test is conducted to distinguish between the new model and the existing competing models.
Keywords
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following License
CC BY: This license allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use.