Definitions and Basic Properties

  • Roger B. Nelsen
Part of the Lecture Notes in Statistics book series (LNS, volume 139)

Abstract

In the Introduction we referred to copulas as “functions that join or couple multivariate distribution functions to their one-dimensional marginal distribution functions” and as “distribution functions whose one-dimensional margins are uniform.” But neither of these statements is a definition—hence we will devote this chapter to giving a precise definition of copulas and to examining some of their elementary properties.

Keywords

Distribution Function Radial Symmetry Continuous Random Variable Joint Distribution Function Marginal Distribution Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Roger B. Nelsen
    • 1
  1. 1.Department of Mathematical SciencesLewis & Clark CollegePortlandUSA

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