An appropriate empirical version of skew-normal density

被引:0
|
作者
A. Abtahi
M. Towhidi
J. Behboodian
机构
[1] Shiraz University,Department of Statistics
[2] Shiraz Islamic Azad University,Department of Mathematics
来源
Statistical Papers | 2011年 / 52卷
关键词
Skewed-distribution; Skew-normal; Beta-normal density; Inverse scale factors density; Kernel estimation; Kolmogorov–Smirnov statistic;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider a constructive representation of skewed distributions, which proposed by Ferreira and Steel (J Am Stat Assoc 101:823–829, 2006), and its basic properties is presented. We study the five versions of skew- normal distributions in this general setting. An appropriate empirical model for a skewed distribution is introduced. In data analysis, we compare this empirical model with the other four versions of skew-normal distributions, via some reasonable criteria. It is shown that the proposed empirical model has a better fit for density estimation.
引用
收藏
页码:469 / 489
页数:20
相关论文
共 50 条
  • [1] An appropriate empirical version of skew-normal density
    Abtahi, A.
    Towhidi, M.
    Behboodian, J.
    STATISTICAL PAPERS, 2011, 52 (02) : 469 - 489
  • [2] The Balakrishnan skew-normal density
    Sharafi, M.
    Behboodian, J.
    STATISTICAL PAPERS, 2008, 49 (04) : 769 - 778
  • [3] A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal
    Mameli, Valentina
    Musio, Monica
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (12) : 2229 - 2244
  • [4] Discussion of ''the skew-normal''
    Genton, MG
    SCANDINAVIAN JOURNAL OF STATISTICS, 2005, 32 (02) : 189 - 198
  • [5] A derivation of the multivariate singular skew-normal density function
    Young, Phil D.
    Harvill, Jane L.
    Young, Dean M.
    STATISTICS & PROBABILITY LETTERS, 2016, 117 : 40 - 45
  • [6] On Bayesian predictive density estimation for skew-normal distributions
    Kortbi, Othmane
    METRIKA, 2024,
  • [7] Differentially private density estimation with skew-normal mixtures model
    Wu, Weisan
    SCIENTIFIC REPORTS, 2021, 11 (01)
  • [8] Differentially private density estimation with skew-normal mixtures model
    Weisan Wu
    Scientific Reports, 11
  • [9] Characterization of the skew-normal distribution
    Arjun K. Gupta
    Truc T. Nguyen
    Jose Almer T. Sanqui
    Annals of the Institute of Statistical Mathematics, 2004, 56 : 351 - 360
  • [10] THE SKEW-NORMAL DISTRIBUTION IN SPC
    Figueiredo, Fernanda
    Ivette Gomes, M.
    REVSTAT-STATISTICAL JOURNAL, 2013, 11 (01) : 83 - 104