On bootstrapping L2-type statistics in density testing
We consider non-parametric tests for checking parametric hypotheses about the stationary density of weakly dependent observations. The test statistic is based on the L2-distance between a non-parametric and a smoothed version of a parametric estimate of the stationary density. Since this statistic behaves asymptotically as in the case of independent observations an i.i.d.-type bootstrap to determine the critical value for the test is proposed.
Year of publication: |
2000
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Authors: | Neumann, Michael H. ; Paparoditis, Efstathios |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 50.2000, 2, p. 137-147
|
Publisher: |
Elsevier |
Keywords: | Bootstrap Stationary density Test Weak dependence |
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