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Resampling The New Statistics (32).pdf

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Resampling The New Statistics (32).pdf

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Resampling The New Statistics (32).pdf

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文档介绍:iii
Technical Note to the
Professional Reader
The material presented in this book fits together with the tech-
nical literature as follows: Though I had proceeded from first
principles rather than from the literature, I have from the start
cited work by . Chung and . Fraser (1958) and Meyer
Dwass (1957). They suggested taking samples of permutations
in a two-sample test as a way of extending the applicability of
Fisher’s randomization test. Resampling with replacement
from a single sample to determine sample statistic variability
was suggested by Simon (1969). Independent work by Efron
(1979) explored the properties of this technique (Efron termed
it the “bootstrap”) and lent it theoretical support. The notion
of using these techniques routinely and in preference to con-
ventional techniques based on Gaussian assumptions was sug-
gested by Simon (1969) and by Simon, Atkinson, and Shevokas
(1976).