| Title:
|
Finite row-column exchangeable arrays (English) |
| Author:
|
Bassan, Bruno |
| Author:
|
Scarsini, Marco |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
137-145 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We generalize well known results about the extendibility of finite exchangeable sequences and provide necessary conditions for finite and infinite extendibility of a finite row-column exchangeable array. These conditions depend in a simple way on the correlation matrix of the array. (English) |
| Keyword:
|
extendibility |
| Keyword:
|
partial exchangeability |
| Keyword:
|
de Finetti's theorem |
| MSC:
|
60G09 |
| idZBL:
|
Zbl 1039.60039 |
| idMR:
|
MR1622998 |
| . |
| Date available:
|
2009-01-08T18:39:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118992 |
| . |
| Reference:
|
[1] Aldous D.J.: Representations for partially exchangeable arrays of random variables.Journal of Multivariate Analysis 11 (1981), 581-598. Zbl 0474.60044, MR 0637937 |
| Reference:
|
[2] Aldous D.J.: Partial exchangeability and $\bar d$-topologies.in Koch G. and Spizzichino F. (eds.), Exchangeability in Probability and Statistics, North-Holland, Amsterdam, 1982, pp.23-38. MR 0675962 |
| Reference:
|
[3] Aldous D.J.: On exchangeability and conditional independence.in Koch G. and Spizzichino F. (eds.), Exchangeability in Probability and Statistics, North-Holland, Amsterdam, 1982, pp.65-170. Zbl 0493.60021, MR 0675972 |
| Reference:
|
[4] Finetti B.: Teoria della Probabilità.Einaudi, Torino, 1970; English translation: {Theory of Probability}, Vols. 1 and 2, Wiley, New York, 1974-75. |
| Reference:
|
[5] Gaifman H.: Concerning measures in first order calculi.Israel Journal of Mathematics 2 (1961), 1-18. MR 0175755 |
| Reference:
|
[6] Hoover D.N.: Row-column exchangeability and a generalized model for probability.in Koch G. and Spizzichino F. (eds.), Exchangeability in Probability and Statistics, North-Holland, Amsterdam, 1982, pp.81-291. Zbl 0495.60040, MR 0675982 |
| Reference:
|
[7] Hoover D.N.: Tail fields of partially exchangeable arrays.Journal of Multivariate Analysis 31 (1989), 160-163. Zbl 0683.60027, MR 1022361 |
| Reference:
|
[8] Krauss P.H.: Representations of symmetric probability models.Journal of Symbolic Logic 34 (1969), 183-193. MR 0275482 |
| Reference:
|
[9] Scarsini M., Verdicchio L.: On the extendibility of partially exchangeable vectors.Statistics & Probability Letters 16 (1993), 43-46. MR 1208497 |
| Reference:
|
[10] Silverman B.W.: Limit theorems for dissociated random variables.Advances in Applied Probability 8, (1976), 806-819. Zbl 0355.60026, MR 0431348 |
| Reference:
|
[11] von Plato J.: Finite partial exchangeability.Statistics & Probability Letters 11 (1991), 99-102. Zbl 0727.60038, MR 1092966 |
| . |
