Multivariate quantiles have been defined by a number of researchers and can be estimated by different methods. However, little work can be found in the literature about Bayesian estimation of joint quantiles of multivariate random variables. In this paper we present a multivariate quantile function model and propose a Bayesian method to estimate the model parameters. The methodology developed h...

The assignment problem is one of the most wellstudied settings in social choice, matching, and discrete allocation. We consider this problem with the additional feature that agents’ preferences involve uncertainty. The setting with uncertainty leads to a number of interesting questions including the following ones. How to compute an assignment with the highest probability of being Pareto optima...

We demonstrate how to efficiently implement extremely high-dimensional compressive imaging of a bi-photon probability distribution. Our method uses fast-Hadamard-transform Kronecker-based compressive sensing to acquire the joint space distribution. We list, in detail, the operations necessary to enable fast-transform-based matrix-vector operations in the joint space to reconstruct a 16.8 millio...

The attractive huge prize causes people to adore lotteries. Due to the very small probability of winning prizes, the players can enhance their probability of winning by using the method of joint purchase. In spite of many lottery schemes having been proposed, most e-lottery schemes focus on the players' privacy or computation overhead rather than support a joint purchase protocol on the Interne...

The research is financed by Asian Development Bank. No. 2006-A171(Sponsoring information) Abstract A new circular probability distribution which is based on GvM (generalization of the von Mises) is proposed. The new distribution is used to construct a joint probability distribution which is applied to fit joint distribution of linear and circular variables such as wind speed and wind direction....

AbstracfWe present a linear complexity multiuser detector that employs a joint succesive interference cancellation (SIC) technique to achieve better performance than the standard SIC detector. The key feature of Joint Successive Interference Cancellation (JSIC) is that it considers two users jointly at each stage of successive decoding. For the two-user case, the JSIC detector gives the maximum...

This paper takes up a suggestion that the reason we cannot find hidden variable theories for quantum mechanics, as in Bell’s Theorem, is that we require them to assign joint probability distributions on incompatible observables; these joint distributions are empirically meaningless on one standard interpretation of quantum mechanics. Some have proposed to get around this problem by using genera...

A maximum likelihood (ML) approach is used to separate the instantaneous mixtures of temporally correlated, independent sources with neither preliminary transformation nor a priori assumption about the probability distribution of the sources. A Markov model is used to represent the joint probability density of successive samples of each source. The joint probability density functions are estima...