Present quantum theory, which is statistical in nature, does not predict joint probability distribution of position and momentum because they are noncommuting. We propose a deterministic quantum theory which predicts a joint probability distribution such that the separate probability distributions for position and momentum agree with usual quantum theory. Unlike the Wigner distribution the sugg...

A quasi-maximum likelihood approach is used for separating the instantaneous mixtures of temporally correlated, independent sources without either any preliminary transformation or a priori assumption about the probability distribution of the sources. A first order Markov model is used to represent the joint probability density of successive samples of each source. The joint probability density...

This paper is devoted to the construction of sets of joint probability measures for the case that the marginal sets of probability measures are generated by weighted focal sets. Different conditions on the choice of the weights of the joint focal sets and on the probability measures on these sets lead to different types of independence such as strong independence, random set independence, fuzzy...

Abstract The collapse of a quantum state can be understood as mathematical way to construct joint probability density even for operators that do not commute . We formalize construction non-commutative, non-associative product is nonlinear in its left operand model measurements at time-like separation, part inspired by the sequential positive semi-definite operators. familiar picture , which col...