The additive logistic skew-normal distribution on the simplex

被引:8
|
作者
Mateu-Figueras, G [1 ]
Pawlowsky-Glahn, V [1 ]
Barceló-Vidal, C [1 ]
机构
[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17071, Spain
关键词
simplex; additive logistic normal distribution; skew-normal distribution;
D O I
10.1007/s00477-004-0225-1
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
There is a dearth of suitable models with which to adequately model cornpositional data sets, especially those which exhibit skewness after additive logratio-transformation. In order to address this deficit we propose the additive logistic skew-normal distribution. an extension to the additive logistic normal model oil the simplex derived from the skew-normal distribution in real space. The purpose of this paper is to Outline the potential of this distribution in the modelling of cornpositional data. We present its most important properties and use an example to exhibit the potential of this distribution.
引用
收藏
页码:205 / 214
页数:10
相关论文
共 50 条
  • [21] A generalized skew two-piece skew-normal distribution
    Jamalizadeh, A.
    Arabpour, A. R.
    Balakrishnan, N.
    STATISTICAL PAPERS, 2011, 52 (02) : 431 - 446
  • [22] The Exponential-Centred Skew-Normal Distribution
    Martinez-Florez, Guillermo
    Barrera-Causil, Carlos
    Marmolejo-Ramos, Fernando
    SYMMETRY-BASEL, 2020, 12 (07):
  • [23] Bimodality based on the generalized skew-normal distribution
    Venegas, Osvaldo
    Salinas, Hugo S.
    Gallardo, Diego I.
    Bolfarine, Heleno
    Gomez, Hector W.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2018, 88 (01) : 156 - 181
  • [24] Multivariate measures of skewness for the skew-normal distribution
    Balakrishnan, N.
    Scarpa, Bruno
    JOURNAL OF MULTIVARIATE ANALYSIS, 2012, 104 (01) : 73 - 87
  • [25] A new generalized Balakrishnan skew-normal distribution
    Hasanalipour, P.
    Sharafi, M.
    STATISTICAL PAPERS, 2012, 53 (01) : 219 - 228
  • [26] A new generalized Balakrishnan skew-normal distribution
    P. Hasanalipour
    M. Sharafi
    Statistical Papers, 2012, 53 : 219 - 228
  • [27] Adaptive control charts for skew-normal distribution
    Chiang, Jyun-You
    Tsai, Tzong-Ru
    Su, Nan-Cheng
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2018, 34 (04) : 589 - 608
  • [28] Some properties of the unified skew-normal distribution
    Arellano-Valle, Reinaldo B.
    Azzalini, Adelchi
    STATISTICAL PAPERS, 2022, 63 (02) : 461 - 487
  • [29] Skew-Normal Approximation to the Negative Binomial Distribution
    Chang, Ching-Hui
    Lin, Jyh-Jiuan
    Chiang, Miao-Chen
    IMSCI '08: 2ND INTERNATIONAL MULTI-CONFERENCE ON SOCIETY, CYBERNETICS AND INFORMATICS, VOL III, PROCEEDINGS, 2008, : 147 - +
  • [30] A generalized skew two-piece skew-normal distribution
    A. Jamalizadeh
    A. R. Arabpour
    N. Balakrishnan
    Statistical Papers, 2011, 52 : 431 - 446