Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications

Abstract

In recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio. In this paper, we propose a new bounded model, named logistic Truncated exponential skew logistic distribution. Some basic statistical properties of the proposed distribution are studied, including moments, mean residual life function, Renyi entropy, mean deviation, order statistics, exponential family, and quantile function. The maximum likelihood method is used to estimate the unknown parameters of the proposed distribution. More importantly, the applications to three real data sets mainly from the field of engineering science prove that the logistic Truncated exponential skew logistic distribution fits better than other bounded distributions.

Keywords

• Beta distribution
• logit truncated-exponential skew-logistic distribution
• truncated-exponential skew-logistic distribution
• maximum likelihood estimator
• engineering science
• fitting effect