Author(s):
1. Hazem Al-Mofleh:
Department of Mathematical Sciences, Ball State University, Muncie, IN 47304, USA; Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan
2. Subhradev Sen:
Department of Applied Mathematics, Alliance University, Bengaluru, India
3. Mohammad Zannon:
Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan
Abstract:
The technique of wrapping of a univariate probability distribution is very efective in getting a circular form of the underlying density. In this article, we introduce the circular (wrapped) version of xgamma distribution [25] and study its diferent distributional properties, such as, cumulative distribution function, characteristic function, mean direction, resultant lengths, and central and non-central trigonometric moments. It has been observed that the proposed wrapped version has the property of invariance under changes of initial direction and the property of invariance under changes of system orientation. To estimate the unknown parameter, maximum likelihood method is proposed. A Monte-Carlo simulation study is performed to understand the behaviour of the estimates for varying sample size. To illustrate the application of the proposed distribution, a real data set on wind direction is analyzed and compared with other well-established circular distributions.
Page(s):
83-98
DOI:
DOI not available
Published:
Journal: Journal of Applied Probability and Statistics, Volume: 19, Issue: 3, Year: 2024
Keywords:
and phrases
,
Circular data
,
xgamma distribution
,
trigonometric moments
,
Circular distribution
,
life distribution
References:
References are not available for this document.
Citations
Citations are not available for this document.