An Error Controlled Method to Determine the Stellar Density Function in a Region of the Sky

• 作者: Mohammed Adel Sharaf Zainab Ahmed Mominkhan
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Astrostatistics STELLAR DENSITY Function COMPUTATIONAL ASTROPHYSICS
• 年，卷（期）: 2014,（13）
• 页码范围: 2077-2087
• 页数: 11页
• 分类号: O1

摘要

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.