| NONEXISTENCE IN POWER AND GAMMA DENSITY REGRESSION, SUM OF NONNEGATIVE TERMS |
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| 作者姓名： | JosefBukac |
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| 作者单位： | Jaromer-Josefov,CzechRepublic |
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| 摘 要： | When we use the power function α(c x)^b and gamma density αx^be^-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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| 关 键 词： | 伽玛密度函数 最小方差法 函数论 闭包 |
| 收稿时间： | 20 August 2004 |
Nonexistence in power and gamma density regression, sum of nonnegative terms |
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| JosefBukac.NONEXISTENCE IN POWER AND GAMMA DENSITY REGRESSION, SUM OF NONNEGATIVE TERMS[J].Analysis in Theory and Applications,2005,21(1):38-52. |
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| Authors: | Josef Bukac |
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| Institution: | (1) Bulharska 298, 55102 Jaromer-Josefov, Czech Republic |
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| 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 nonnegativefunctions if the closures of the summands are available. |
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| Keywords: | closure gamma density function regression analysis REGRESSION DENSITY GAMMA POWER NONEXISTENCE determine available closure type functions defined finite domain address question existence gamma density data the least squares method power function |
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