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Weak convergence of martingales with random indices to infinitely divisible laws

✍ Scribed by K. S. Kubacki; D. Szynal


Publisher
Akadmiai Kiad
Year
1983
Tongue
English
Weight
391 KB
Volume
42
Category
Article
ISSN
1588-2632

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✍ AndrΓ© Adler; Andrew Rosalsky; Andrej I. Volodin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 393 KB

For weighted sums of the form Sn = Ejknl anj (Vnj--Cnj) where {anj, 1 <<.j<~kn < oo, n~> 1} are constants, {V~j, 1 <~j<~k~, n>~l} are random elements in a real separable martingale type p Banach space, and {cnj, 1 <<.j<~kn, n>>-1} are suitable conditional expectations, a mean convergence theorem and