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CHANCE OF MISCLASSIFICATION IN THE CASE OF SEVERAL NORMAL POPULATIONS
Author(s) -
Paek Pil S.,
Kshirsagar AnantM.
Publication year - 1996
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1996.tb00365.x
Subject(s) - sobel operator , multivariate normal distribution , statistics , mathematics , covariance matrix , multivariate statistics , matrix (chemical analysis) , computer science , artificial intelligence , image (mathematics) , image processing , chromatography , edge detection , chemistry
SUMMARY When a new observation is to be classified into one of several multivariate normal populations with different means and the same covariance matrix, by Rao's method of scoring, the chance of misclassification is expressed as a multiple integral. This paper gives a practical method of obtaining reasonable approximations to this integral by using tables prepared by Gibbons, Olkin & Sobel (1977) for a different task.