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Research Article Open access CC BY 4.0

Skew Arcsine Distribution

Nuri Celik

Asian Journal of Probability and Statistics · pp. 26–34 · Published 9 Nov 2021

10.9734/ajpas/2021/v15i330355

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.

Arcsine distribution estimating modeling random walk skewness

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