A generalization of the slashed distribution via alpha skew normal distribution

Wenhao Gui

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A generalization of the slashed distribution via alpha skew normal distribution

机译：通过斜偏正态分布对斜线分布进行推广

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摘要

In this paper, we introduce a new class of the slash distribution, an alpha skew normal slash distribution. The proposed model is more flexible in terms of its kurtosis than the slashed normal distribution and can efficiently capture the bimodal-ity. Properties involving moments and moment generating function are studied. The distribution is illustrated with a real application.

机译：在本文中，我们介绍了一种新的斜线分布，即alpha斜正态斜线分布。提出的模型在峰度方面比削减的正态分布更灵活，并且可以有效地捕获双峰性。研究了涉及力矩和力矩产生函数的性质。该分布用实际应用程序说明。

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来源
《Statistical Methods and Applications》 |2014年第4期|547-563|共17页
作者
Wenhao Gui;
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作者单位

Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth,MN 55812, USA,Department of Mathematics, Beijing Jiaotong University, 100044 Beijing, China;

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原文格式 PDF
正文语种 eng
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关键词
Alpha skew normal distribution; Slash distribution; Kurtosis; Skewness;

机译：Alpha偏正态分布;斜线分布;峰度;偏度;

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专利

1. A flexible generalization of the skew normal distribution based on a weighted normal distribution [J] . Rasekhi Mahdi, Chinipardaz Rahim, Alavi Sayed Mohammad Reza Statistical Methods and Applications . 2016,第3期

机译：基于加权正态分布的偏态正态分布的灵活概括
2. A new generalization of alpha-skew-normal distribution [J] . Sharafi Maryam, Sajjadnia Zahra, Behboodian Javad Communications in Statistics . 2017,第11a12期

机译：α-斜正态分布的新概括
3. A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal [J] . VALENTINA MAMELI, MONICA MUSIO Communications in Statistics . 2013,第10a12期

机译：偏态正态分布的一般化：Beta偏态正态
4. A Novel Robust Rauch-Tung-Striebel Smoother Based on Slash and Generalized Hyperbolic Skew Student's T-Distributions [C] . Yulong Huang, Yonggang Zhang, Yuxin Zhao, International Conference on Information Fusion . 2018

机译：基于斜线和广义双曲斜生T分布的新型鲁棒Rauch-Tung-Striebel平滑器
5. Sampling Distributions in the Family of Skew Normal Distributions and Asymmetric Dependence Measures and Constructions of Copulas [D] . Zhu, Xiaonan 2019

机译：偏正态分布族中的抽样分布和非对称依赖度量及Copulas的构造
6. Modelling psychiatric measures using Skew-Normal distributions [O] . N. Counsell, M. Cortina-Borja, A. Lehtonen, -1

机译：使用偏正态分布对精神病学措施建模
7. A GENERALIZATION OF THE SKEW-NORMAL DISTRIBUTION: THE BETA SKEW- NORMAL [O] . Valentina Mameli, Monica Musio 2016

机译：sKEW-NORmaL分布的推广：BETa sKEW- NORmaL
8. Statistical Inference for the Skewed-Normal and Related Distributions. [R] . Leonard, T., Broekhoven, L. 1982

机译：偏斜正态分布和相关分布的统计推断。

A generalization of the slashed distribution via alpha skew normal distribution

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