By G. Dall’aglio (auth.), G. Dall’Aglio, S. Kotz, G. Salinetti (eds.)

ISBN-10: 9401055343

ISBN-13: 9789401055345

ISBN-10: 9401134669

ISBN-13: 9789401134668

*As the reader may most likely already finish from the**enthusiastic phrases within the first traces of this assessment, this ebook can be**strongly instructed to probabilists and statisticians who deal with**distributions with given marginals.***Mededelingen van het Wiskundig Genootschap**

**Read Online or Download Advances in Probability Distributions with Given Marginals: Beyond the Copulas PDF**

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**Extra info for Advances in Probability Distributions with Given Marginals: Beyond the Copulas**

**Example text**

And Rivest, L. P. (1989) A characterization of Gumbel's family of extreme value distributions, Statist. and Probab. Letters 8, 207-211. a 48 B. SCHWEIZER 27. Hoeffding, W. (1940) Masstabinvariante Korrelationstheorie, Schrif- 28. , Sherwood, H. and Taylor, M. D. (1988) Properties of a special class of doubly stochastic measures, Aequationes Math. 36, 212-229. Kellerer, H. G. (1964) Masstheoretische Marginalprobleme, Math. Ann. 153, 168-198. Kellerer, H. (1964) Verteilungsfunktionen mit gegebenen Harginalverteilungen, Z.

8. WHEN MARGINS ARE FIXED By now the reader should be aware of the fact that any paper bear- ing a title that contains a phrase such as "when the margins are fixed" is a paper involving copulas. More often than not (since copulas are not yet as well-known as they might be) this involvement is implicit. Consequently, there is generally something to be gained - insight at the very least - by bringing the role of copulas explicitly to the fore. To illustrate, in 1983, while browsing through the Mathematical Reviews, 40 B.

5) W(a,b) Note that Both Z W defined on = = and [0,1]2 Z and (0,1,0) and above by the graph of Min are t-norms, as are the funcby ab, Max(a + b - 1,0). W, Prod and Min are copulas as well as t-norms. 2c) are natural requirements and have ready interpretations. 2d), which was first in- troduced in [59], is needed in order to extend Menger's triangle inequality to a polygonal inequality. Soon after the appearance of Menger's paper, A. 6) where Fpr => Fpq * * For all p,q,r in S, F qr denotes convolution.

### Advances in Probability Distributions with Given Marginals: Beyond the Copulas by G. Dall’aglio (auth.), G. Dall’Aglio, S. Kotz, G. Salinetti (eds.)

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