52 citations · 130 across the 26 of their papers we have counts for
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math.PR2019
From the Bernoulli Factory to a Dice Enterprise via Perfect Sampling of Markov Chains
Giulio Morina, Krzysztof Latuszynski, Piotr Nayar +1
Given a -coin that lands heads with unknown probability , we wish to produce an -coin for a given function . This problem is commonly known…
math.PR2019★ 2 cited
Hadamard products and moments of random vectors
Rafał Latała, Piotr Nayar
We derive new comparison inequalities between weak and strong moments of norms of random vectors with optimal (up to an universal factor) constants. We discuss applications to the…
cs.IT2019★ 12 cited
Two remarks on generalized entropy power inequalities
Mokshay Madiman, Piotr Nayar, Tomasz Tkocz
This note contributes to the understanding of generalized entropy power inequalities. Our main goal is to construct a counter-example regarding monotonicity and entropy comparison…