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Conditionals in Exponential Families

  • Barry C. Arnold
  • Enrique Castillo
  • José-Mariá Sarabia
Conference paper
Part of the Lecture Notes in Statistics book series (LNS, volume 73)

Abstract

Following our careful analysis of the normal conditionals example in the last chapter and our brief mention of the exponential conditionals distribution in Chapter 2, it is natural to seek out more general results regarding distributions whose conditionals are posited to be members of quite general exponential families. Indeed the discussion leading up to Theorem 2.4, suggests that things should work well when conditionals are from exponential families. The key reference for the present chapter is Arnold and Strauss (1991). However, it should be mentioned that results due to Besag (1974) in a stochastic process setting anticipate some of the observations in this chapter.

Keywords

Conditional Distribution Exponential Family Conditional Density Joint Density Bivariate Distribution 
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-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Barry C. Arnold
    • 1
  • Enrique Castillo
    • 2
  • José-Mariá Sarabia
    • 2
  1. 1.Department of StatisticsUniversity of CaliforniaRiversideUSA
  2. 2.Departamento de EconomiaUniversidad de CantabriaSantanderSpain

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