Analysis in Theory and Applications

, Volume 21, Issue 1, pp 38–52 | Cite as

Nonexistence in power and gamma density regression, sum of nonnegative terms

  • Josef Bukac


When we use the power function a(c+x)b and gamma density axbe−cx to fit the data by the least squares method, we have to address the question of existence. The closure of the set of each type of these functions defined on a finite domain is determined. We derive a way to determine the closure of a sum of nonnegative functions if the closures of the summands are available.

Key words

closure gamma density function regression analysis 

AMS (2000) subject classification



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  1. [1]
    Bukac, J., Polynomials Associated with Exponential Regression, Applicationes Mathematicae, 28 (2001), 247–255.MATHMathSciNetCrossRefGoogle Scholar
  2. [2]
    Bukac, J., Nonexistence in Reciprocal and Logarithmic Regression, Analysis in Theory and Applications, 19 (2003), 255–265.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Jaromer-JosefovCzech Republic

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