Showing papers on "Mahalanobis distance published in 1978"
TL;DR: In this article, the authors consider the classification problem in the context of two equiprobable multivariate Gaussian densities with a common covariance matrix and provide expressions which relate p opt to the number of available training samples and the Mahalanobis distance between the two populations.
109 citations
TL;DR: In this paper, the influence function is used to detect outliers in discriminant analysis, which is a quadratic function of the deviation of the discriminant score for the perturbed observation from the mean of the corresponding group.
Abstract: The influence function is used to develop criteria for detecting outliers in discriminant analysis. For Mahalanobis' D2, the influence function is a quadratic function of the deviation of the discriminant score for the perturbed observation from the discriminant score for the mean of the corresponding group. A X2 approximation to the null distribution of the influence function values appears to be suitable for graphical representation.
94 citations
01 Jan 1978
TL;DR: Measurement of multilevel crossing rates was found to be an easily implementable means for detection of changes in general frequency content and level crossing analysis was shown to be applicable for the study of conductivity measurements of two-phase flow of air and water.
Abstract: An investigation was made of multilevel crossing rates as a means of time series analysis of random signals. Pattern recognition techniques based on the Mahalanobis distance were implemented as a means of evaluating the discriminating power of level crossings. Measurement of multilevel crossing rates was found to be an easily implementable means for detection of changes in general frequency content. Level crossing analysis was also shown to be applicable for the study of conductivity measurements of two-phase flow of air and water, where knowledge of the relationship between amplitude and frequency was beneficial in characterizing the process.
5 citations