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The calculation of cumulants via conditioning. (English) Zbl 0181.46103

Keywords:
statistics
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[1] P. L. Dressel, ”Statistical seminvariants and their estimates with particular emphasis on their relation to algebraic invariants,”Ann. Math. Statist. 9 (1940), 33–57. · Zbl 0063.01163
[2] A. Ebner, ”Cumulant component estimation in the balanced one-way nested classification”, M. Sc. Thesis at Cornell University, 1959.
[3] W. Feller,An Introduction to Probability Theory and its Applications, II, Wiley, New York, 1966. · Zbl 0138.10207
[4] M. H. Hansen, W. N. Hurwitz and W. G. Madow,Sample Survey Methods and Theory, II, Wiley, New York, 1953. · Zbl 0052.14801
[5] H. E. Robbins, ”The asymptotic distribution of the sum of a random number of random variables,”Bull. Amer. Math. Soc., 54 (1948), 1151–1161. · Zbl 0034.22503
[6] J. W. Tukey, ”Some sampling simplified,”J. Amer. Statist. Ass., 45 (1950), 501–519. · Zbl 0040.36301
[7] H. Wittenberg, ”The limiting distributions of random sums of independent random variables,”Zeit. für Wahrschein., 3 (1964), 7–18. · Zbl 0125.08601
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