The Power and Optimal Kernel of the Bickel-Rosenblatt Test for Goodness of Fit
The Annals of StatisticsPublished 1 June 1991Open access
B. K. Ghosh, Weimin Huang
Citations77
SJR quartileQ1
SJR score4.77
SNIP3.13
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Abstract
Bickel and Rosenblatt proposed a procedure for testing the goodness of fit of a specified density to observed data. The test statistic is based on the distance between the kernel density estimate and the hypothesized density, and it depends on a kernel $K$, a bandwidth $b_n$ and an arbitrary weight function $a$. We study the behavior of the asymptotic power of the test and show that a uniform kernel maximizes the power when $a > 0$.
Keywords
Computer ScienceMathematicsBiochemistry, Genetics and Molecular Biology