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作者:GEARY, RC
摘要:A general integral relation is established between the frequency functions of [square root]b1 or a3, in samples of size n and (n[long dash]1) from a normal population. Using the known distribution for samples of size 3 given by Fisher and iterative methods, it is possible to obtain solutions to any desired degree of precision for the frequency functions for samples of 4, 5, 6, 7 and 8. At n = 8, it is shown that the frequency distribution is closely approximated by the Gram-Charlier series wit...
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作者:GEARY, RC; WORLLEDGE, JPG
摘要:A computational scheme is given for moments of samples from normal universes. The algebraic methods of C. C. Craig, rather than the combinatorial techniques of R. A. Fisher, are used. Economy of expression is achieved through the extensive use of primals and systematic methods of calculation involving these quantities are developed. A set of checks, partial or complete, is given for every stage of the computational schema.
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作者:ELFVING, G
摘要:The distribution function of a simple transformation of the range of a sample from a normal population is expressible, in the limit, in terms of the first order Bessel function. An upper limit for differences between the distribution functions for finite samples and the limiting case is given.