Wrapped Skew Laplace Distribution on Integers:A New Probability Model for Circular Data

• 作者: K Jayakumar Sophy Jacob
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: CIRCULAR DISTRIBUTIONS Trigonometric MOMENTS Wrapped LAPLACE Distribution
• 年，卷（期）: 2012,（1）
• 页码范围: 106-114
• 页数: 9页
• 分类号: O1

摘要

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.