n-Dimensional Cumulative Distribution Functions and Bounded Variation Functions

  • Richard M. Meyer
Part of the Universitext book series (UTX)


The natural generalization of 1-dimensional c.d.f.’s and b.v.f.’s (see Section 8) are n-dimensional (n > 1) c.d.f.’s and b.v.f.’s. We shall develop some of their properties in this Section, and then apply these results in the following Section dealing with the n-dimensional Riemann-Stieltjes Integral. We shall follow the general pattern set in Section 8.


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References to Additional and Related Material: Section 10

  1. 1.
    Feller, W., “An Introduction to Probability Theory and its Applications”, Vol. II, John Wiley and Sons, Inc. (1966).Google Scholar
  2. 2.
    Hobson, E., “Theory of Functions of a Real Variable”, Vol. I, Dover Publications, Inc.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

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