MISCLASSIFICATION PROBABILITIES FOR QUADRATIC DISCRIMINANT FUNCTION

被引:2
|
作者
HOUSHMAND, AA [1 ]
机构
[1] UNIV CINCINNATI, DEPT MECH IND & NUCL ENGN, CINCINNATI, OH 45221 USA
关键词
NONCENTRAL CHI-2; LINEAR COMBINATION; MISCLASSIFICATION PROBABILITIES; SIMULTANEOUS ORTHOGONAL TRANSFORMATION; MULTIVARIATE NORMAL;
D O I
10.1080/03610919308813082
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An approximate method of computing the misclassification probabilities for quadratic discriminant functions (QDF) with known covariance matrices is suggested in this paper. Large scale simulation from empirical distribution of experimental data is used to test the effectiveness of the approximation and compare its performance against an existing method. It is shown that this approximation method performs well for multivariate normal distributions of dimension 2, 3, 4, 5, 7, and 10. Exact expressions for computing these probabilities for univariate quadratic discriminant function are provided.
引用
收藏
页码:81 / 98
页数:18
相关论文
共 50 条
  • [41] Graphical Lasso Quadratic Discriminant Function for Character Recognition
    Xu, Bo
    Huang, Kaizhu
    King, Irwin
    Liu, Cheng-Lin
    Sun, Jun
    Satoshi, Naoi
    NEURAL INFORMATION PROCESSING, PT III, 2011, 7064 : 747 - +
  • [42] Pion-muon discriminant analysis with quadratic function
    China Inst of Atomic Energy, Beijing, China
    Yuanzineng Kexue Jishu, 2 (146-151):
  • [43] MISCLASSIFICATION PROBABILITIES FOR 2ND-ORDER DISCRIMINANT FUNCTIONS USED TO CLASSIFY BIVARIATE NORMAL-POPULATIONS
    BAYNE, CK
    BEAUCHAMP, JJ
    KANE, VE
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1984, 13 (05) : 669 - 682
  • [44] A RECTIFYING INSPECTION SCHEME WITH MISCLASSIFICATION PROBABILITIES
    GREENBERG, I
    IIE TRANSACTIONS, 1982, 14 (02) : 131 - 134
  • [45] ESTIMATION OF MISCLASSIFICATION PROBABILITIES BY BOOTSTRAP METHODS
    CHATTERJEE, S
    CHATTERJEE, S
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1983, 12 (06) : 645 - 656
  • [46] A preliminary test in classification and probabilities of misclassification
    Menéndez, ML
    Pardo, JA
    Pardo, L
    Zografos, K
    STATISTICS, 2005, 39 (03) : 183 - 205
  • [47] ESTIMATING EXPECTED AND OPTIMAL PROBABILITIES OF MISCLASSIFICATION
    SORUM, M
    TECHNOMETRICS, 1972, 14 (04) : 935 - &
  • [48] Handwritten Kanji recognition with determinant normalized quadratic discriminant function
    Kawatani, T
    15TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 2, PROCEEDINGS: PATTERN RECOGNITION AND NEURAL NETWORKS, 2000, : 343 - 346
  • [49] Kernel modified quadratic discriminant function for facial expression recognition
    Yang, Duan-Duan
    Jin, Lian-Wen
    Yin, Jun-Xun
    Zhen, Li-Xin
    Huang, Jian-Cheng
    ADVANCES IN MACHINE VISION, IMAGE PROCESSING, AND PATTERN ANALYSIS, 2006, 4153 : 66 - 75
  • [50] HOW NON-NORMALITY AFFECTS THE QUADRATIC DISCRIMINANT FUNCTION
    CLARKE, WR
    LACHENBRUCH, PA
    BROFFITT, B
    COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1979, 8 (13): : 1285 - 1301