Vidyalaxmi, Kokkada (2024) Concerning the Moment Convergence Result for Properly Normalised Delayed Sums. In: Research Updates in Mathematics and Computer Science Vol. 8. B P International, pp. 8-16. ISBN 978-81-974388-5-1
Full text not available from this repository.Abstract
Let {Xn, n ≥1} be a sequence of independent and identically distributed random variables with a common distribution function F. Let (Sn) be the partial sum sequence. Set
. The sum Tn is referred to as a (forward) delayed sum. We derive a moment convergence result for the delayed sums when the random variables are within the domain of normal attraction of a stable law with an index α,1<α<2 The results can be used to obtain a density version of a local limit theorem.
| Item Type: | Book Section |
|---|---|
| Subjects: | Euro Archives > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 17 Jun 2024 08:01 |
| Last Modified: | 17 Jun 2024 08:01 |
| URI: | http://publish7promo.com/id/eprint/4793 |
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