ON LIMITING DISTRIBUTIONS FOR SUMS OF A RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES.
Technical rept., 9
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
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The main result of the paper is a generalization of a theorem by Mogyorodi Publ. Math. Inst. Hungar. Acad. Sci. 6, 365-371. This generalization of Mogyorodis theorem is applied to give simpler proofs, under less restrictive conditions, of some recent results of A. Albert Ann. Math. Statist. 37, 1602-1630 and M. S. Srivastava unpublished connected with the asymptotic distribution of a sequential estimator for the regression coefficients in ANOVA and MANOVA.
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