Modeling Tri-Model Data With a New Skew Logistic Distribution

This paper considers a new family of the trimodal skew logistic distributions. Some properties this distribution, including moments, moments generating function, entropy, maximum likelihood estimates parameters and some other properties, are presented. A simulation study is conducted to examine performance parameters. Numerical optimization carried out via two real-life datasets. Results show that distribution better fitted in terms these datasets among logistic, alpha distributions based on value AIC BIC.