Quantifying dependence between extreme values is a central problem in many theoretical and applied studies. The main distinction is between asymptotically independent and asymptotically dependent extremes, with important theoretical examples of these general limiting classes being the extremal behaviour of a bivariate Normal distribution, for asymptotic independence, and of the bivariate t dist...

The local space density of galaxies as a function of their basic structural parameters –luminosity, surface brightness and scale size– is still poorly known. Our poor knowledge is the result of strong selection biases against low surface brightness and small scale size galaxies in any optically selected sample. We derive bivariate space density distributions by correcting a sample of ∼1000 loca...

A bivariate gamma-type density function involving a confluent hypergeometric function of two variables is being introduced. The inverse Mellin transform technique is employed in conjunction with the transformation of variable technique to obtain its moment generating function, which is expressed in terms of generalized hypergeometric functions. Its cumulative distribution function is given in c...

A problem of estimating the location of a source of scattered radiation is considered. The role of extremes in estimation problems for truncated distributions is discussed from the Bayesian point of view. The emphasis is made on the bivariate case of spherically symmetric distributions. The cases of truncated normal, uniform, and Cauchy distributions are considered. Such location estimators as ...

Motivated by problems of modeling torsional angles in molecules, Singh et al. (2002) proposed a bivariate circular model which is a natural torus analogue of the bivariate normal distribution and a natural extension of the univariate von Mises distribution to the bivariate case. In this paper, we propose a multivariate extension of the bivariate model of Singh et al. The results about condition...

The statistical properties embedded in visual stimuli from the surrounding environment guide and affect the evolutionary processes of human vision systems. There are strong statistical relationships between co-located luminance/chrominance and disparity bandpass coefficients in natural scenes. However, these statistical relationships have only been deeply developed to create point-wise statisti...