English

Asymptotic distribution of certain degenerate V- and U-statistics with estimated parameters

Statistics Theory 2023-05-30 v2 Statistics Theory

Abstract

The asymptotic distribution of a wide class of V- and U-statistics with estimated parameters is derived in the case when the kernel is not necessarily differentiable along the parameter. The results have their application in goodness-of-fit problems.

Keywords

Cite

@article{arxiv.2012.11020,
  title  = {Asymptotic distribution of certain degenerate V- and U-statistics with estimated parameters},
  author = {Marija Cuparić and Bojana Milošević and Marko Obradović},
  journal= {arXiv preprint arXiv:2012.11020},
  year   = {2023}
}

Comments

Revised proof of Theorem 1; other minor changes in text