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作者:Geary, RC
摘要:Let [chi] and y be 2 estimates of an unknown parent population parameter [theta]. E. J. G. Pitman suggested that [chi] should be regarded as a close estimate of [theta] if the probability that
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作者:Hartley, HO
摘要:Let [chi]i, . . . , [chi]n be a sample of n observations drawn from a normal population with standard deviation. Let W be a general statistic calculated from this sample, where W > O and W is proportional to [sigma]. Let f(W) be the distribution function of W when [sigma]=l and let [image], the probability integral. Let S be an independent estimate of [sigma] based upon n degrees of freedom. Let S [image] and r=W/S. Let fn(r) be the random sample distribution of r and let its probability integ...
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作者:Scheffé, H
作者单位:Princeton University
摘要:The author shows how Miss Thompson''s tables, which were published in Biometrika vol. 32, can be used for finding confidence limits pertaining to the binomial distribution for small n.
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作者:Daniels, HE
摘要:Consider the 2 sets [chi]1, [chi]2, . . . [chi]n and y1, y2, . . . yn, both arranged in some given order relative to each other. They may be permuted to give n different ways of grouping the [chi]''s with the y''s. To each pair ([chi]i, [chi]j) assign a convenient score aij and to each pair (yi, yj) a score bij, where aij = aji and bij = bji. Let [image] where i and j run from 1 to n. The author shows that [GAMMA], a general correlation coeff., for special cases is equal to Kendall''s [tau] co...
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作者:Kendall, MG
摘要:Let [chi]i, [chi]i . . . , [chi]n be values measured about their mean, trend-free and defined at equal intervals of time. The kth serial correlation coefficient rk, is defined as the correlation between members of the series, k intervals apart. Correlograms are obtained if rk is plotted against k. If the series consists of a simple harmonic the correlogram reproduces this harmonic, hence the correlogram provides a criterion for distinguishing various kinds of oscillatory times series. This pap...
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作者:Tippett, LHC
摘要:In order to decide when to discard a tool, which is used in manufacturing an article which should meet specifications, one procedure is to take samples at regular intervals of time, measure the articles, and calculate the mean dimension for the samples and discard the tool when the mean reaches a certain value. The sample means are subject to sampling errors so that they do not measure exactly the true or population mean of all the articles produced at a given time. If the tools are discarded ...