Random projections and goodness-of-fit tests in infinite-dimensional spaces

نویسندگان

  • Juan Antonio Cuesta-Albertos
  • Ricardo Fraiman
  • Thomas Ransford
چکیده

In this paper we provide conditions under which a distribution is determined by just one randomly chosen projection. Then we apply our results to construct goodnessof-fit tests for the one and two-sample problems. We include some simulations as well as the application of our results to a real data set. Our results are valid for every separable Hilbert space.

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تاریخ انتشار 2006