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An Error Controlled Method to Determine the Stellar Density Function in a Region of the Sky
Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, College of Science for Girls King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, College of Science for Girls King Abdulaziz University, Jeddah, Saudi Arabia
Applied Mathematics·Volume 05 (2014)·Pages 2077–2087·Published 7 July 2014·DOI10.4236/am.2014.513202
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Abstract
In this paper, a reliable computational tool will be developed for the determination of the parameters of the stellar density function in a region of the sky with complete error controlled estimates. Of these error estimates are, the variance of the fit, the variance of the least squares solutions vector, the average square distance between the exact and the least-squares solutions, finally the variance of the density stellar function due to the variance of the least squares solutions vector. Moreover, all these estimates are given in closed analytical forms.
KeywordsAstrostatisticsStellar Density FunctionComputational Astrophysics
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