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On the Logarithms of High Order Spacings

Noel A. C. Cressie

出版	Princeton University. Department of Statistics, 1975
URL	http://books.google.com.hk/books?id=utIjywAACAAJ&hl=&source=gbs_api

註釋

The sum of the logarithms of the gaps between order statistics of order m+n and n for n=0 to n+1-m is studied as a test for uniformity on the unit interval, given a sample of size N. Exact means and variances and asymptotic normality are shown in the null case for this problem and that on the circle. Power studies of the test for local alternatives show that the Pitman efficiency is proportional to m.