N ov 2 00 6 A Kiefer Wolfowitz Comparison Theorem For Wicksell ’ s Problem
نویسنده
چکیده
We extend the isotonic analysis for the Wicksell’s problem to estimate a regression function, which is motivated by the problem of estimating dark matter distribution in Astronomy. The main result is a version of the Kiefer-Wolfowitz theorem comparing the empirical distribution to its least concave majorant, but with a convergence rate n −1 log n faster than n−2/3 log n. The main result is useful in obtaining asymptotic distributions for estimators, such as isotonic and smooth estimators.
منابع مشابه
A Kiefer – Wolfowitz Comparison Theorem for Wicksell ’ S Problem
We extend the isotonic analysis for Wicksell's problem to estimate a regression function, which is motivated by the problem of estimating dark matter distribution in astronomy. The main result is a version of the Kiefer–Wolfowitz theorem comparing the empirical distribution to its least concave majorant, but with a convergence rate n −1 log n faster than n −2/3 log n. The main result is useful ...
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