Distributions With Given Marginals and Statistical Modelling

This volume contains the papers presented at the meeting \Distributions with given marginals and statistical modelling\ held in Barcelona (Spain) July 17- 20 2000. This is the fourth meeting on given marginals showing that this topic has aremarkable interest. BRIEF HISTORY The construction of distributions with given marginals started with the seminal papers by Hoeffding (1940) and Fn!chet (1951). Since then many others have contributed on this topic: Dall Aglio Farlie Gumbel Johnson Kellerer Kotz Morgenstern Marshali Olkin Strassen Vitale Whitt etc. as weIl as Arnold Cambanis Deheuvels Genest Frank Joe Kirneldorf Nelsen Rüschendorf Sampson Scarsini Tiit etc. In 1957 Sklar and Schweizer introduced probabilistic metric spaces. In 1975 Kirneldorf and Sampson studied the uniform representation of a bivariate dis- tribution and proposed the desirable conditions that should be satisfied by any bivariate family. In 1991 Darsow Nguyen and Olsen defined a natural operation between cop- ulas with applications in stochastic processes. In 1993 AIsina Nelsen and Schweizer introduced the notion of quasi-copula.