Abstract
Using the multimodal (for certain values of the parameters) generalized logistic distribution for a random variable Z , defined earlier by Rathie and Swamee (2006), we define a new skew generalized logistic distribution with four parameters a , b , p and c . Some properties, such as moments and distribution of Z2 , are obtained. This distribution is invertible for c = ±1. For certain values of the parameters a , b and p , and any c , this distribution approximates very well the skew normal distribution. As possible applications, the skew generalized logistic distribution is applied to analyse annual precipitation data of Los Angeles City and the Environmental Performance Index (2010).
Author: Pushpa Narayan Rathie and Murilo Coutinho
Received on: August, 2010
Accepted on: May, 2011