MULTIVARIATE RANKING USING ELLIPTICAL PEELING

被引：0
|
作者：
Lyashko, S. I. [1 ]
Klyushin, D. A. [1 ]
Alexeyenko, V. V. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2013年 / 49卷 / 04期
关键词：
pattern recognition; cancer diagnostics; uncertainty; peeling; confidence ellipsoids; discriminant analysis; multivariate ranking;
D O I：
10.1007/s10559-013-9536-x
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new method of multivariate ordering using elliptical peeling on the basis of confidence ellipsoids is proposed. The statistical properties of the confidence ellipsoids are proved. The application of the method for the minimization of uncertainty under quadratic discriminant analysis, mode detection, and identification of outliers are described.
引用
收藏
页码：511 / 516
页数：6
相关论文
共 50 条
  • [41] Stochastic ordering of Gini indexes for multivariate elliptical risks
    Kim, Bara
    Kim, Jeongsim
    INSURANCE MATHEMATICS & ECONOMICS, 2019, 88 : 151 - 158
  • [42] Concomitants of order statistics from multivariate elliptical distributions
    Jamalizadeh, Ahad
    Balakrishnan, N.
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (02) : 397 - 409
  • [43] Practical Notes On Multivariate Modeling Based on Elliptical Copulas
    Wang, Xiaojing
    Yan, Jun
    JOURNAL OF THE SFDS, 2013, 154 (01): : 102 - 115
  • [44] Multivariate unified skew-elliptical distributions.
    Arellano-Valle, Reinaldo B.
    Genton, Marc G.
    CHILEAN JOURNAL OF STATISTICS, 2010, 1 (01): : 17 - 33
  • [45] A note on Stein's lemma for multivariate elliptical distributions
    Landsman, Zinoviy
    Vanduffel, Steven
    Yao, Jing
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2013, 143 (11) : 2016 - 2022
  • [46] Inference for elliptical copula multivariate response regression models
    Zhao, Yue
    Genest, Christian
    ELECTRONIC JOURNAL OF STATISTICS, 2019, 13 (01): : 911 - 984
  • [47] Improved hypothesis testing in a general multivariate elliptical model
    Melo, Tatiane F. N.
    Ferrari, Silvia L. P.
    Patriota, Alexandre G.
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (07) : 1416 - 1428
  • [48] On the second order property of elliptical multivariate regular variation
    Kim, Moosup
    COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2024, 31 (04) : 459 - 466
  • [49] Influence diagnostics for elliptical multivariate linear regression models
    Díaz-García, JA
    Rojas, MG
    Leiva-Sánchez, V
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2003, 32 (03) : 625 - 641
  • [50] Ranking the solubility of ammonia in ionic liquids using near infrared spectroscopy and multivariate curve resolution
    Soledad Larrechi, M.
    Cera-Manjarres, Andry
    Coronas, Alberto
    SPECTROCHIMICA ACTA PART A-MOLECULAR AND BIOMOLECULAR SPECTROSCOPY, 2019, 215 : 88 - 96
12345