88 citations · 96 across the 13 of their papers we have counts for
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math.ST2024
Slow rates of approximation of U-statistics and V-statistics by quadratic forms of Gaussians
Kevin Han Huang, Peter Orbanz
We construct examples of degree-two U- and V-statistics of i.i.d.~heavy-tailed random vectors in , whose -th moments exist for , and provide tight…
math.ST2024
Global optimality under amenable symmetry constraints
Peter Orbanz
Consider a convex function that is invariant under an group of transformations. If it has a minimizer, does it also have an invariant minimizer? Variants of this problem appear in…
math.ST2018★ 3 cited
Limit theorems for invariant distributions
Morgane Austern, Peter Orbanz
A distributional symmetry is invariance of a distribution under a group of transformations. Exchangeability and stationarity are examples. We explain that a result of ergodic theor…