Hazard Rates Based on Isoprobability Contours

  • I. R. Goodman
  • Samuel Kotz
Part of the NATO Advanced study Institutes Series book series (ASIC, volume 79)


A new “scalar” definition of a (contour) multivariate hazard rate based on variation of probability distribution across the isoprobability contours is motivated and described. Several examples involving specific multivariate distributions justifying the usefulness of this definition are presented. General structures of “constant” contour multivariate hazard rates as well as increasing contour multivariate hazard rates are described.

Key Words

hazard rates isoprobability contours logarithmic transform power transform multivariate distributions exponential distribution characterizations 


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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1981

Authors and Affiliations

  • I. R. Goodman
    • 1
  • Samuel Kotz
    • 2
  1. 1.Naval Research LaboratoryWashington, D.CUSA
  2. 2.University of MarylandCollege ParkUSA

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