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20212026
most citedSuper-polynomial accuracy of one dimensional randomized nets using the median-of-means

2 citations · 6 across the 13 of their papers we have counts for

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8 papers · 1 filter

math.ST2025

Zero variance self-normalized importance sampling via estimating equations

Art B. Owen

In ordinary importance sampling with a nonnegative integrand there exists an importance sampling strategy with zero variance. Practical sampling strategies are often based on appro…

math.ST2025★ 1 cited

Better bootstrap t confidence intervals for the mean

Art B. Owen

This article explores combinations of weighted bootstraps, like the Bayesian bootstrap, with the bootstrap method for setting approximate confidence intervals for the mean of a…

math.NA2025★ 1 cited

On the optimization of discrepancy measures

François Clément, Nathan Kirk, Art B. Owen +1

Numerical optimizations can find point sets with lower discrepancies than prior methods based on algebra, and discrepancies are computationally attractive for this. The …

stat.CO2025

Quasi-Monte Carlo with one categorical variable

Valerie N. P. Ho, Art B. Owen, Zexin Pan

We study randomized quasi-Monte Carlo (RQMC) estimation of a multivariate integral where one of the variables takes only a finite number of values. This problem arises when the var…

math.NA2025

Empirical Bernstein and betting confidence intervals for randomized quasi-Monte Carlo

Aadit Jain, Fred J. Hickernell, Art B. Owen +1

Randomized quasi-Monte Carlo (RQMC) methods estimate the mean of a random variable by sampling an integrand at equidistributed points. For scrambled digital nets, the resulting…

stat.ME2025

Optimal Correlation for Bernoulli Trials with Covariates

Tim Morrison, Art B. Owen

Given covariates for units, each of which is to receive a treatment with probability , we study the question of how best to correlate their treatment assignments to minimi…

math.ST2025

Coverage errors for Student's t confidence intervals comparable to those in Hall (1988)

Art B. Owen

Table 1 of Hall (1988) contains asymptotic coverage error formulas for some nonparametric approximate 95\% confidence intervals for the mean based on IID samples. The table inc…

math.NA2025

Error estimation for quasi-Monte Carlo

Art B. Owen

Quasi-Monte Carlo sampling can attain far better accuracy than plain Monte Carlo sampling. However, with plain Monte Carlo sampling it is much easier to estimate the attained accur…