A Study of Skew-normal Distribution and Skew-t Distribution
- 2013-02-18 (Mon.), 10:30 AM
- 中研院-統計所 2F 交誼廳
- 茶 會:上午10:10統計所二樓交誼廳
- 蘇 南 誠 教授
- 國立台北大學統計系
Abstract
A Study of Skew-normal Distribution and Skew-t Distribution Professor Nan-Cheng Su(蘇南誠 教授)(國立台北大學統計系) The distribution of weighted function of independent skew-normal random variables is useful in many applications. In this work first we will study properties of this distribution. The joint distribution of a linear form and a quadratic form will also be discussed. Next, through ratio of two independent skew-symmetric random variables, we propose a new family of univariate skew-t distributions, which can capture skewness and heavy tails. Properties of our skew-t distribution will be given. We also present some illustrative examples for the simulated data and the volcano height data.
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