This paper presents comprehensive analysis of the evolution of the distribution of individual annual incomes across the majority of the population in China from 1992–2009. The cumulative distribution functions (CDFs) and probability density functions (PDFs) are presented. Overall, the CDFs...

Functions operating on multivariate distribution and survival functions are characterized, based on a theorem of Morillas, for which a new proof is presented. These results are applied to determine those classical mean values on [0,1]n which are distribution functions of probability measures on...

<p><span style="font-size: 11.000000pt; font-family: 'CMR10';">In this paper, we aim to explore the speed of convergence of the Wasserstein distance between stable cumulative distribution functions and their empirical counterparts. The theoretical results are compared with the results provided by simulations. The need to use simulations is explained by the...</span></p>

This work extends Karni’s direct revelation mechanism for eliciting agents’ subjective beliefs over the distribution of a random variable.

The product moments of existing and new noncentral bimatrix variate beta distributions with bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained by using the Mellin transform. These distributions add value to multivariate statistical analysis...