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On the principle of conditioning and convergence to mixtures of distributions for sums of dependent random variables

✍ Scribed by Xing-Hong Xue


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
581 KB
Volume
37
Category
Article
ISSN
0304-4149

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Zero-one laws and weak convergences for
✍ G. Siegel πŸ“‚ Article πŸ“… 1978 πŸ› John Wiley and Sons 🌐 English βš– 526 KB

Let mlzk be a median of X,, and put S, = X,, + + X , + . . . +Xnkrt-A,, where {A,, n= 1, 2, . . .} is a sequence of constants. S, and X,, are subject to F, and F,,, respectively. The problem is the existence of a non-defective limit distribution for {Fn, n = 1, 2, . . .} in the sence of weak conver