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

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

As the reader may most likely already finish from theenthusiastic phrases within the first strains of this evaluation, this e-book can bestrongly urged to probabilists and statisticians who deal withdistributions with given marginals.
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Probabilistic metric spaces were first introduced by K. Menger in 1942 [44]. As defined in the 1958 Comptes Rendus note with Sklar, a probabilistic metric space is an ordered pair and F is a mapping from S x S (S,F), into the space t:,,+ where is a set S of probability dis- . 1) on (_00,00), nondecreasing, and For any pair of points p, q in S is left-continuous F(O) =0, F(oo) = 1}. the distribution function F(p,q) is generally denoted by F and, for any real x, its value F (x) is usupq pq ally interpreted as the probability that the "distance" between p and q is less than (I) F (II) F pq pq The distribution functions x.

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153, 168-198. Kellerer, H. (1964) Verteilungsfunktionen mit gegebenen Harginalverteilungen, Z. Warsch. Verw. Geb. 3, 247-270. Kimberling, C. H. (1973) Exchangeable events and completely monotonic sequences, Rocky Mountain J. Math. 3, 565-574. Kimberling, C. H. (1974) A probabilistic interpretation of complete monotonicity, Aequationes Math. 10, 152-164. Kimeldorf, G. and Sampson, A. R. (1975) One-parameter families of bivariate distributions with fixed marginals, Commun. Statist. 4, 293-301. Kimeldorf.

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