For a large multi-hop wireless network, nodes are preferable to make distributed and localized link-scheduling decisions with only interactions among a small number of neighbors. However, for a slowly decaying channel and densely populated interferers, a small size neighborhood often results in nontrivial link outages and is thus insufficient for making optimal scheduling decisions. A question ...

We present a formal theory of contextuality for a set of random variables grouped into different subsets (contexts) corresponding to different, mutually incompatible conditions. Within each context the random variables are jointly distributed, but across different contexts they are stochastically unrelated. The theory of contextuality is based on the analysis of the extent to which some of thes...

In many settings, the variable of interest is a proportion with high concentration of data at the boundaries. This paper proposes a regression model for a fractional variable with nontrivial probability masses at the extremes. In particular, the dependent variable is assumed to be a mixed random variable, obtained as the mixture of a Bernoulli and a beta random variables. The extreme values of ...

We establish that Gaussian distributions are the optimizers for a particular optimization problem related to determining the hypercontractivity parameters for a pair of jointly Gaussian random variables.

The implication problem for saturated conditional independence statements is studied in the presence of fixed and undetermined sets of incomplete random variables. Here, random variables are termed incomplete since they admit missing data. Two different notions of implication arise. In the classic notion of V -implication, a statement is implied jointly by a set of statements and a fixed set V ...

The implication problem for saturated conditional independence statements is studied in the presence of fixed and undetermined sets of incomplete random variables. Here, random variables are termed incomplete since they admit missing data. Two different notions of implication arise. In the classic notion of V -implication, a statement is implied jointly by a set of statements and a fixed set V ...

The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng (2000) for independent and identically distributed random variables to the case of AANA random variables. In addition, the Feller-type weak law of large number for sequences of AANA rando...