A method for the derivation of limit theorems for sums of m-dependent random variables-Reference-Cited by-同舟云学术

A method for the derivation of limit theorems for sums of m-dependent random variables

Published:1982 Issue:4 Volume:60 Page:501-515
ISSN:0044-3719
Container-title:Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete
language:en
Short-container-title:Z. Wahrscheinlichkeitstheorie verw Gebiete

Author:

Heinrich Lothar

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF00535713.pdf

Reference13 articles.

1. Berk, K.N.: A central limit theorem for m-dependent random variables with unbounded m. Ann. Probab. 1, 352?354 (1973)

2. Erickson, R.V.: L 1 bounds for asymptotic normality of m-dependent sums using Stein's technique. Ann. Probab. 2, 522?529 (1974)

3. Heinrich, L.: On a factorization of the characteristic function of a sum of dependent random variables (German). Liet. mat. rink. 22, 190?202 (1982)

4. Heinrich, L.: On probabilities of large deviations for sums of random variables connected in a Markov chain under a non-Cramérian type condition (German). Liet. mat. rink. (To appear)

5. Heinrich, L.: A new approach to the summation theory of random variables connected in a Markov chain. Math. Nachr. (To appear, 1982)

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