TITLE:
An Error Controlled Method to Determine the Stellar Density Function in a Region of the Sky
AUTHORS:
Mohammed Adel Sharaf, Zainab Ahmed Mominkhan
KEYWORDS:
Astrostatistics, Stellar Density Function, Computational Astrophysics
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.13,
July
22,
2014
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.