Nonexistence in power and gamma density regression, sum of nonnegative terms
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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 wordsclosure gamma density function regression analysis
AMS (2000) subject classification62J02
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