THE m OUT OF n BOOTSTRAP AND GOODNESS OF FIT TESTS WITH DOUBLY CENSORED DATA
نویسندگان
چکیده
This paper considers the use of the m out of n bootstrap (Bickel, GG oetze, and van Zwet, 1994) in setting critical values for Cram er-von Mises goodness of t tests with doubly censored data. We show that, as might be expected, the usual n out of n nonparametric bootstrap fails to estimate the null distribution of the test statistic. We show that if the m out of n bootstrap with m ! 1, m = o(n) is used to set the critical value of the test, the proposed testing procedure is asymptotically level , has the correct asymptotic power function for p n alternatives and is asymptotically consistent.
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