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The Limiting Behaviour of Randomly Indexed Sequences

✍ Scribed by Andrzej Krajka

Book ID
110363206
Publisher
Springer US
Year
2001
Tongue
English
Weight
133 KB
Volume
14
Category
Article
ISSN
0894-9840

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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}