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作者：Efron, B; Tibshirani, R
摘要：We wish to estimate the probability density g(y) that produced an observed random sample of vectors y(1), y(2),..., y(n). Estimates of g(y) are traditionally constructed in two quite different ways: by maximum likelihood fitting within some parametric family such as the normal or by nonparametric methods such as kernel density estimation. These two methods can be combined by putting an exponential family ''through'' a kernel estimator. These are the specially designed exponential families ment...
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作者：Putter, H; vanZwet, WR
作者单位：Leiden University; Leiden University - Excl LUMC; University of North Carolina; University of North Carolina Chapel Hill
摘要：On the basis of N i.i.d. random variables with a common unknown distribution P we wish to estimate a functional tau(N)(P) An obvious and very general approach to this problem is to find an estimator (P) over cap(N) of P first, and then construct a so-called substitution estimator tau(N)((P) over cap(N)) of tau(N)(P). In this paper we investigate how to choose the estimator (P) over cap(N) so that the substitution estimator tau(N)((P) over cap(N)) Will be consistent. Although our setup covers a...
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作者：Tang, BI; Wu, CFJ
作者单位：University of Michigan System; University of Michigan
摘要：A general result is obtained that relates the word-length pattern of a 2(n-k) design to that of its complementary design. By applying this result and using group isomorphism, we are able to characterize minimum aberration 2(n-k) designs in terms of properties of their complementary designs. The approach is quite powerful for small values of 2(n-k) - n - 1. In particular, we obtain minimum aberration 2(n-k) designs with 2(n-k) - n - 1 = 1 to 11 for any n and h.
