Abstract
In this paper we propose a new family of circular distributions, obtained by wrapping discrete skew Laplace distribution on Z = 0, ±1, ±2, around a unit circle. In contrast with many wrapped distributions, here closed form expressions exist for the probability density function, the distribution function and the characteristic function. The properties of this new family of distribution are studied.
Highlights
In this paper we propose a new family of circular distributions, obtained by wrapping discrete skew Laplace distribution on Z = 0, ±1, ±2, around a unit circle
In 1918 von Mises introduced a distribution on the circle by using characterization analogous to the Gauss characterization of the normal distribution on a line [2]
Circular distributions play an important role in modeling directional data which arise in various fields
Summary
Circular or directional data arise in many scientific fields, such as Biology, Geology, Meteorology, Physics, Psychology, Medicine and Astronomy [1]. Circular distributions play an important role in modeling directional data which arise in various fields. Several new unimodal circular distributions capable of modeling symmetry as well as asymmetry have been proposed. These include, the wrapped versions of skew normal [6], exponential [7] and Laplace [8]. Wrapped distributions provide a rich and useful class of models for circular data.
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