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On the convergence in law of almost all sums of independent random variables

โœ Scribed by A. N. Chuprunov


Publisher
Springer US
Year
1995
Tongue
English
Weight
402 KB
Volume
76
Category
Article
ISSN
1573-8795

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Zero-one laws and weak convergences for
โœ G. Siegel ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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