Wrapped modified Lindley distribution

摘要

To model data in angular form, circular distributions are the most appropriate mathematical tools. In this paper, we introduce a new one-parameter circular distribution based on the wrapping method, called the wrapped modified Lindley distribution. Characteristic function and fundamental properties of this distribution are described. Method of maximum likelihood estimation is used for the estimation of the parameter. The proposed model is applied to two real-life datasets, and its performance is compared with that of the wrapped Lindley, wrapped exponential and transmuted wrapped exponential models.