Authors

• C. Satheesh Kumar ¹
• L. Manju ²

¹ Department of Statistics, University of Kerala, Trivandrum, Kerala, India.

² Department of Community Medicine, Sree Gokulam Medical College, Trivandrum, Kerala, India.

Abstract

‎Here we consider  a new class of skew logistic  distribution as a generalized mixture of the standard logistic and skew logistic distributions‎, ‎and study some of its important aspects‎. ‎The tail behaviour of the  distribution is compared with that of the skew logistic distribution and a location-scale extension of the distribution is proposed‎. ‎Further the maximum likelihood estimation of the parameters of the extended class of distribution is attempted. The usefulness of the proposed  class of distribution is illustrated with the help of a data set‎.

Keywords

• Density function
• Maximum likelihood estimation
• Skew logistic distribution
• Simulation