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Weak Convergence of Randomly Indexed Sequences of Random Variables

✍ Scribed by I. Gajowiak; Z. Rychlik

Book ID
110300723
Publisher
Springer US
Year
2001
Tongue
English
Weight
116 KB
Volume
106
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

Characterization of weak limits of rando
Characterization of weak limits of randomly indexed sequences
✍ A. Krajka πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 103 KB

Let {Xn; nΒΏ1} be an arbitrary sequence of random elements deΓΏned on a probability space ( ; A; P) with a nonatomic measure P and taking values in a separable complete metric space (S; ). In this paper we characterize the set of all possible weak limits of the sequences {XN n ; nΒΏ1}, where {Nn; nΒΏ1}

On weak and Moments Convergence of Rando
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✍ A. Krajka; Z. Rychlik πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 465 KB

## Abstract Let {__X~n~__, __n__ β©Ύ 1) be a sequence of independent random variables such that __EX~n~__ = __a~n~__, __E__(__X~n~__ βˆ’ __a~n~__)^2^ = Οƒ, __n__ β©Ύ 1. Let {__N~n~, n__ β©Ύ 1} be a sequence of positive integer‐valued random variables. Let us put In this paper we present necessary and suffi