A Central Limit Theorem for incomplete U-statistics over triangular arrays

Published: Mar 23, 2020
Abstract
We analyze the fluctuations of incomplete Ustatistics over a triangular array of independent random variables. We give criteria for a Central Limit Theorem (CLT, for short) to hold in the sense that we prove that an appropriately scaled and centered version of the U-statistic converges to a normal random variable. Our method of proof relies on a martingale CLT. A possible application -- a CLT for the hitting time for random walk on random...
Paper Details
Title
A Central Limit Theorem for incomplete U-statistics over triangular arrays
Published Date
Mar 23, 2020
Citation AnalysisPro
  • Scinapse’s Top 10 Citation Journals & Affiliations graph reveals the quality and authenticity of citations received by a paper.
  • Discover whether citations have been inflated due to self-citations, or if citations include institutional bias.