Quantile-Based Multivariate Log-Normal Distribution

Nonparametric multivariate conditional distribution and quantile regression

In nonparametric multivariate regression analysis, one usually seeks methods to reduce the dimensionality of the regression function to bypass the difficulty caused by the curse of dimensionality. We study nonparametric estimation of multivariate conditional distribution and quantile regression via local univariate quadratic estimation of partial derivatives of bivariate copulas. Without restri...

Screening for a Multivariate Mixture Normal Distribution

On Multivariate Log Birnbaum-Saunders Distribution

Univariate Birnbaum-Saunders distribution has received a considerable attention in recent years. Rieck and Nedelman (1991) introduced a log Birnbaum-Saunders distribution. We introduce a multivariate log Birnbaum-Saunders distribution and discuss its different properties. It is observed that the proposed multivariate model can be obtained from the multivariate Gaussian copula. We have proposed ...

Color Image Segmentation Based on Log Normal Distribution

In this article, we present a novel approach for effective segmentation of color images, by integrating the advantages of the YIQ and the Log Normal Distribution features. Log Normal Distribution is considered in this paper, for effective segmentation, by considering the pattern of the pixels. The proposed method entails less complexity and is thus can be used reasonably very well for realistic...

Musical instrument identification based on F0-dependent multivariate normal distribution

The pitch dependency of timbres has not been fully exploited in musical instrument identification. In this paper, we present a method using an F0-dependent multivariate normal distribution of which mean is represented by a function of fundamental frequency (F0). This F0-dependent mean function represents the pitch dependency of each feature, while the F0-normalized covariance represents the non...