Xiaowei Zhang

TL;DR: A central limit theorem and a large deviations principle are established for affine point processes, which are stochastic models of correlated event timing widely used in finance and economics and facilitate the construction of an asymptotically optimal importance sampling estimator of tail probabilities.

TL;DR: A robust selection-of-the-best (RSB) formulation which compares decisions based on their worst-case performances over a finite set of possible distributions and selects the decision with the best worst- case performance.

TL;DR: The goal of ranking and selection with covariates (R&S-C) is to use simulation samples to obtain a selection policy that specifies the best alternative with certain statistical guarantee for subsequent individuals upon observing their covariates and a linear model is proposed to capture the relationship between the mean performance of an alternative and the covariates.

TL;DR: In practice, there may be multiple plausible distributions that can fit the input data reasonably well, e.g. as discussed by the authors, but the problem of finding a proper input distribution is often a challenging task in simulation modeling.

TL;DR: In this paper, the effect of S. thermophilus 19 in mice and the response of mice gut microbiota were subsequently investigated, and it was shown that the decrease of gut microbial diversity in mice intraperitoneally injected with 1 mg/ml LPS were mitigated by the administration of S thermophillus 19.