Skew Arcsine Distribution
Nuri Celik *
epartment of Mathematics, Gebze Technical University, 41400, Kocaeli, Turkey.
*Author to whom correspondence should be addressed.
Abstract
The arcsine distribution is very important tool in statistics literature especially in Brownian motion studies. However, modelling real data sets, even when the potential underlying distribution is pre-defined, is very complicated and difficult in statistical modelling. For this reason, we desire some flexibility on the underlying distribution. In this study, we propose a new distribution obtained by arcsine distribution with Azzalini’s skewness procedure. The main characteristics of the proposed distribution are determined both with theoretically and simulation study.
Keywords: Arcsine distribution, estimating, modeling, random walk, skewness