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Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

Volumn 60, Issue 4, 1982, Pages 501-515

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

(1) Heinrich, Lothar a

a TU BERGAKADEMIE FREIBERG (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010183950 PISSN: 00443719 EISSN: 14322064 Source Type: Journal
DOI: 10.1007/BF00535713 Document Type: Article

Times cited : (52)

References (13)

1
- 0000520732
- A central limit theorem for m-dependent random variables with unbounded m
- (1973) The Annals of Probability , vol.1 , pp. 352-354
- Berk, K.N.¹

2
- 0040783718
- L1 bounds for asymptotic normality of m-dependent sums using Stein's technique
- (1974) The Annals of Probability , vol.2 , pp. 522-529
- Erickson, R.V.¹

3
- 84985415793
- On a factorization of the characteristic function of a sum of dependent random variables (German)
- (1982) Liet. mat. rink. , vol.22 , pp. 190-202
- Heinrich, L.¹

4
- 84932003672
- 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
- 84932003671
- Heinrich, L.: A new approach to the summation theory of random variables connected in a Markov chain. Math. Nachr. (To appear, 1982)

6
- 84932003614
- Heinrich, L.: Infinitely divisible distributions as limit laws for sums of random variables connected in a Markov chain. Math. Nachr. (To appear, 1982)

7
- 84932003615
- On the central limit theorem for m-dependent random variables (Russian)
- Izdat. Akad. Nauk Armjan. SSR, Erevan
- (1960) Proc. All-Union-Conf. Prob. Theory and Math. Statistics, Erevan 1958 , pp. 138-144
- Petrov, V.V.¹

8
- 0004035778
- Springer, Berlin-Heidelberg-New York
- (1975) Sums of independent random variables
- Petrov, V.V.¹

9
- 0038433843
- On the speed of convergence in the central limit theorem for m-dependent random variables (Russian)
- (1979) Teor. verojatn. primen. , vol.24 , pp. 781-794
- Shergin, V.V.¹

10
- 0001478929
- On large deviations
- (1966) Z. Wahrscheinlichkeitstheorie verw. Gebiete , vol.6 , pp. 133-144
- Statulevičius, V.A.¹

11
- 33947381987
- On limit theorems for random functions I (Russian)
- (1970) Liet. mat. rink. , vol.10 , pp. 583-592
- Statulevičius, V.A.¹

12
- 0000457248
- A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
- Univ. Calif. Press, Berkeley
- (1972) Proc. 6th Berkeley Sympos. Math. Statistics Probab., Vol. 2 , pp. 583-602
- Stein, C.¹

13
- 0001001924
- On the speed of convergence in the central limit theorem for weakly dependent random variables (Russian)
- (1980) Teor. verojatn. primen. , vol.25 , pp. 800-818
- Tichomirov, A.N.¹

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