A discrete probability model suitable for both symmetric and asymmetric count data

Abstract

In this paper, an alternative discrete probability model, namely the discrete skew logistic distribution, suitable for both asymmetric and symmetric count data is proposed. Some important properties of the distribution along with the estimation of the parameters are discussed. A detailed Monte Carlo simulation study is carried out to assess the performance of the maximum likelihood method and the method of proportion for parameter estimation. Finally, the application of the proposed model is discussed by considering two real-life datasets.