Hermite transformation and the expansion of normalized convolution. (English) Zbl 0517.60017
MSC:
60E99 | Distribution theory |
62E20 | Asymptotic distribution theory in statistics |
60B05 | Probability measures on topological spaces |
Keywords:
asymptotic series of von Mises-Smirnov statistics; Edgeworth series; random elements in an abstract Hilbert spaceReferences:
[1] | N. V. Smirnov, ”On the distribution of the von Mises {\(\omega\)}2-statistic,” Mat. Sb.,2, No. 1, 973–993 (1937). |
[2] | D. A. Darling, ”Sur les théorèms de Kolmogoroff-Smirnoff,” T. V. P., No.4, 393–398 (1960). · Zbl 0093.15301 |
[3] | S. Czerge, ”Asymptotic expansion for the Laplace transform of the von Mises {\(\omega\)}2-statistic,” T.V.P., No. 1, 158–162 (1975). |
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