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Goodness of fit tests for “Chimeric” alternatives |
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| Authors: | E. V. Khmaladze |
| Abstract: | In this paper we discuss nonparametric goodness of fit theory for alternatives, which, in practical terms, manifest themselves not as a “smooth” and “small” deviation “everywhere”, but as still not big systematic “stains” or highly oscillating patterns as compared to the regular null hypothesis. |
| Keywords: | contiguous alternatives compactness weakly converging linear functionals spike alternatives divisible statistics Brownian motion convergence in distribution in L∞ uniform Donsker classes |