Abstract
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.
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References
Bukac, J., Polynomials Associated with Exponential Regression, Applicationes Mathematicae, 28 (2001), 247–255.
Bukac, J., Nonexistence in Reciprocal and Logarithmic Regression, Analysis in Theory and Applications, 19 (2003), 255–265.
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Bukac, J. Nonexistence in power and gamma density regression, sum of nonnegative terms. Anal. Theory Appl. 21, 38–52 (2005). https://doi.org/10.1007/BF02835248
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DOI: https://doi.org/10.1007/BF02835248