English

Tailor-made tests for goodness of fit to semiparametric hypotheses

Statistics Theory 2007-06-13 v1 Statistics Theory

Abstract

We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the n1/2n^{-1/2} scale in every direction, and can be tailored to put substantial power on alternatives of importance. The approach is based on combining test statistics based on stochastic processes of score statistics with bootstrap critical values.

Keywords

Cite

@article{arxiv.math/0607014,
  title  = {Tailor-made tests for goodness of fit to semiparametric hypotheses},
  author = {Peter J. Bickel and Ya'acov Ritov and Thomas M. Stoker},
  journal= {arXiv preprint arXiv:math/0607014},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/009053606000000137 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)