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作者：CHEN, JH; WU, CFJ
摘要：The minimum aberration criterion is commonly used for selecting good fractional factorial designs. In this paper we obtain minimum aberration 2n-k designs for k = 3,4 and any n. For k > 4 analogous results are not available for general n since the resolution criterion is not periodic for general n and k > 4. However, it can be shown that for any fixed k, both the resolution criterion and the minimum aberration criterion have a periodicity property in n for s(n-k) designs with large n. Furtherm...
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作者：DONOHO, DL; LIU, RC
摘要：We establish upper and lower bounds on the asymptotic minimax risk in estimating (1) a density at a point when the density is known to be decreasing with a Lipschitz condition; (2) a density at a point when the density satisfies a local second-order smoothness (Sacks-Ylvisaker) condition; and (3) the k th derivative of the density at a point, when the density satisfies a local L(p) constraint on the m th derivative. In (1), (2) and (3) the upper and lower bounds differ asymptotically by less t...
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作者：STONE, CJ
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作者：LOCKHART, RA
摘要：Test statistics which are almost determined by o(n) tail order statistics are shown to provide tests of asymptotic relative efficiency 0 against the usual type of contiguous alternative. The result is applied to several goodness-of-fit tests: the variance weighted Kolmogorov-Smirnov statistic, the Kolmogorov-Smirnov statistic in the stabilized probability plot and the correlation coefficient in a Q-Q plot for a variety of distributions with exponential tails.
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作者：MARTINSEK, AT
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作者：DUMBGEN, L
作者单位：Ruprecht Karls University Heidelberg
摘要：Consider a sequence X1, X2,...,X(n) of independent random variables, where X1, X2,...,X(n)-theta have distribution P, and X(n)-theta + 1, X(n)-theta + 2,..., X(n) have distribution Q. The change-point theta is-an-element-of (0, 1) is an unknown parameter to be estimated, and P and Q are two unknown probability distributions. The nonparametric estimators of Darkhovskh and Carlstein are imbedded in a more general framework, where random seminorms are applied to empirical measures for making infe...
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作者：PROSCHAN, M
作者单位：National Institutes of Health (NIH) - USA; NIH National Heart Lung & Blood Institute (NHLBI)
摘要：The papers of Blackwell and Hodges (1957) and Diaconis and Graham (1981) contain an error concerning the asymptotic distribution of the number of returns to the origin of a constrained random walk. The correct distribution is given.
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作者：YANG, S
摘要：This paper discusses the minimum Hellinger distance estimation (MHDE) of the parameter that gives the best fit of a parametric family to a density when the data are randomly censored. In studying the MHDE, the tail behavior of the product-limit (P-L) process is investigated, and the weak convergence of the process on the real line is established. An upper bound on the mean square increment of the normalized P-L process is also obtained. With these results, the asymptotic behavior of the MHDE i...
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作者：IBRAGIMOV, IA; KHASMINSKII, RZ
作者单位：Russian Academy of Sciences
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作者：ALVO, M; CABILIO, P
作者单位：Acadia University
摘要：A total of nb judges rank t objects k at a time according to n replications of a BIBD with b blocks. The Durbin statistic is commonly used in this context and is equivalent to the usual analysis of variance on the rankings. The approach considered here is to introduce the notion of compatibility so as to define distances between incomplete rankings based on metrics on the space of complete rankings. Through this device we define a class of test statistics which includes the Durbin statistic as...
