Bulletin of the American Mathematical Society

MathSciNet review: 1567663
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Book Information:

Authors: Robert L. Taylor, Peter Z. Daffer and Ronald F. Patterson
Title: Limit theorems for sums of exchangeable random variables
Additional book information: Rowman and Allanheld, Totowa, New Jersey, 1985, 152 pp., $22.50. ISBN 0-8476-7435-5.

J. R. Blum, H. Chernoff, M. Rosenblatt, and H. Teicher, Central limit theorems for interchangeable processes, Canadian J. Math. 10 (1958), 222–229. MR 96298, DOI 10.4153/CJM-1958-026-0

2.

David J. Aldous, Exchangeability and related topics, 1983 Lecture Notes.

Gerald A. Edgar and Louis Sucheston, Démonstrations de lois des grands nombres par les sous-martingales descendantes, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 22, 967–969 (French, with English summary). MR 631108

J. Hoffmann-Jørgensen and G. Pisier, The law of large numbers and the central limit theorem in Banach spaces, Ann. Probability 4 (1976), no. 4, 587–599. MR 423451, DOI 10.1214/aop/1176996029

N. C. Weber, A martingale approach to central limit theorems for exchangeable random variables, J. Appl. Probab. 17 (1980), no. 3, 662–673. MR 580026, DOI 10.2307/3212960

1.

J. R. Blum, H. Chernoff, M. Rosenblatt and H. Teicher, Central limit theorems for interchangeable processes, Canadian J. Math. 10 (1958), 222-229. MR 0096298

2.

David J. Aldous, Exchangeability and related topics, 1983 Lecture Notes.

3.

G. Edgar and L. Sucheston, Démonstrations de lois des grands nombres par les sousmartingales déscendantes, C. R. Acad. Sci. Paris 292 (1981), 967-969. MR 631108

4.

J. Hoffman-Jørgensen and G. Pisier, The law of large numbers and the central limit theorem in Banach spaces, Annals of Prob. 4 (1976), 587-599. MR 423451

5.

N. Weber, A martingale approach to central limit theorems for exchangeable random variables, J. Applied Probab. 17 (1980), 662-673. MR 580026