25 citations · 125 across the 21 of their papers we have counts for
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math.PR2016★ 2 cited
Quasi-invariance of countable products of Cauchy measures under non-unitary dilations
Han Cheng Lie, T. J. Sullivan
Consider an infinite sequence of independent Cauchy random variables, defined by a sequence of location parameters and a sequence…
math.PR2016
Cameron-Martin theorems for sequences of symmetric Cauchy-distributed random variables
Han Cheng Lie, T. J. Sullivan
Given a sequence of Cauchy-distributed random variables defined by a sequence of location parameters and a sequence of scale parameters, we consider another sequence of random vari…
math.OC2016★ 5 cited
Convexity of a stochastic control functional related to importance sampling of Itô diffusions
Han Cheng Lie
We consider the problem of rare event importance sampling, where the random variable of interest is a path functional of an Itô diffusion computed up to the first exit from a -d…