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math.PR2022
Probability bounds for random events under -wise independence
Karthik Natarajan, Arjun Kodagehalli Ramachandra, Colin Tan
A collection of random events is said to be -wise independent if any events among them are mutually independent. We characterise all probability measures with…
math.OC2022
Pairwise independent correlation gap
Arjun Ramachandra, Karthik Natarajan
In this paper, we introduce the notion of a ``pairwise independent correlation gap'' for set functions with random elements. The pairwise independent correlation gap is defined as…