Add to ORKGThe problem of classification in multivariate analysis is considered. The distribution of the extreme Mahalanobis’ distance from the sample mean has been derived for a special case of the bivariate problem, and for this special case the cumulative distribution has been partially tabulated. The characteristic function of the joint distribution of the Mahalanobis’ distances from the sample mean has also been derived. A brief discussion of the one-dimensional problem and its solution has been included.Science, Faculty ofMathematics, Department ofGraduat
The Mahalanobis distance between pairs of multivariate observations is used as a measure of similari...
AbstractThe Mahalanobis distance is extended to the case where the variables are a mixture of discre...
The problem of classifying multivariate normal populations into homogeneous clusters on the basis of...
The problem of classification in multivariate analysis is considered. The distribution of the extrem...
In this paper, we investigate the asymptotic distributions of two types of Mahalanobis distance (MD)...
AbstractUpper and lower bounds for the magnitude of the largest Mahalanobis distance, calculated fro...
In this paper we study the main properties of a distance introduced by C.M. Cuadras (1974). This dis...
The problem of observations “compression” in multivariate statistical classification is considered....
Based on the reasoning expressed by Mahalanobis in his original article, the present article extends...
AbstractThe range over standard deviation of a set of univariate data points is given a natural mult...
Many problems which involve applications of extreme value theory show an essential multivariate natu...
I consider the problem of estimating the Mahalanobis distance between multivariate normal population...
This paper presents a general notion of Mahalanobis distance for functional data that extends the cl...
<div><p>This article presents a new semidistance for functional observations that generalizes the Ma...
AbstractA distance for mixed nominal, ordinal and continuous data is developed by applying the Kullb...
The Mahalanobis distance between pairs of multivariate observations is used as a measure of similari...
AbstractThe Mahalanobis distance is extended to the case where the variables are a mixture of discre...
The problem of classifying multivariate normal populations into homogeneous clusters on the basis of...
The problem of classification in multivariate analysis is considered. The distribution of the extrem...
In this paper, we investigate the asymptotic distributions of two types of Mahalanobis distance (MD)...
AbstractUpper and lower bounds for the magnitude of the largest Mahalanobis distance, calculated fro...
In this paper we study the main properties of a distance introduced by C.M. Cuadras (1974). This dis...
The problem of observations “compression” in multivariate statistical classification is considered....
Based on the reasoning expressed by Mahalanobis in his original article, the present article extends...
AbstractThe range over standard deviation of a set of univariate data points is given a natural mult...
Many problems which involve applications of extreme value theory show an essential multivariate natu...
I consider the problem of estimating the Mahalanobis distance between multivariate normal population...
This paper presents a general notion of Mahalanobis distance for functional data that extends the cl...
<div><p>This article presents a new semidistance for functional observations that generalizes the Ma...
AbstractA distance for mixed nominal, ordinal and continuous data is developed by applying the Kullb...
The Mahalanobis distance between pairs of multivariate observations is used as a measure of similari...
AbstractThe Mahalanobis distance is extended to the case where the variables are a mixture of discre...
The problem of classifying multivariate normal populations into homogeneous clusters on the basis of...