Wrapped Generalized Akash Distribution: Properties and Applications

Abstract

Circular probability distributions are the most appropriate statistical tools to model directional data. In this paper, we introduce a new circular distribution based on the wrapping method and it is named as wrapped generalized Akash distribution. We also studied some important properties of the proposed probability distribution such as characteristic function, trigonometric moments, invariance properties etc. Further we have applied maximum likelihood procedure for the estimation of the parameters of the distribution. The proposed model is applied to real- life dataset and studied its suitability to compare with other similar circular probability distributions in the literature.

Keywords: Circular Statistics;Wrapped distribution; Generalized Akash distribution; Trigonometric moments.

2010 Mathematics Subject Classification. 26A25; 26A35