2 Summary The classical multivariate data analysis has been based largely on a multivariate normal distribution assumption. Therefore almost all of the work was concentrated on just location and dispersion parameters, with relatively little attention to questions of high-order characteristics. For characterization of multivariate distribution, its moments are very expressive. This fact was used...

a new cost function based on stochastic fuzzy discrimination information measure is introduced in this paper. focusing on their significant parts, this cost function is used to find the optimal value of threshold for denoising image. it is, in fact, an extension of fuzzy entropy cost function by the present author. multivariable normal distribution is used for creating focus on significant part...

An empirical test is presented by which one may determine whether a specified multivariate probability model is suitable to describe the underlying distribution of a set of observations. This test is based on the premise that, given any probability distribution, the Mahalanobis distances corresponding to data generated from that distribution will likewise follow a distinct distribution that can...

In this paper, we consider the task of clustering multivariate normal distributions with respect to the relative entropy into a prescribed number, k, of clusters using a generalization of Lloyd’s k-means algorithm [1]. We revisit this information-theoretic clustering problem under the auspices of mixed-type Bregman divergences, and show that the approach of Davis and Dhillon [2] (NIPS*06) can a...

Abstract. Aksomaitis and Burauskaite-Harju [Information Technology and Control, 38, 2009, 301-302] studied the distribution of max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the multivariate normal distribution. Here, we study the moments of min(X1, X2,..., Xp) and max(X1, X2,..., Xp) when (X1, X2,..., Xp) follows the most commonly known multivariate Pareto distribution. Multivariate Pareto ...

Generally, an industrial product has more than one quality characteristic. In order to establish performance measures for evaluating the capability of a multivariate manufacturing process, several multivariate process capability indices have been developed based on the assumption of normality. Quality characteristics of many manufacturing processes in the chemical, pharmaceutical and electronic...