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Perfectively Deducing Bessel Mean Square Error Formula



Deng Yonghe*, 1, 2, 3
1 College of Engineering and designing, Lishui College, Lishui, Zhejiang, 323000, P.R. China
2 School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, P.R. China
3 School of Continuous Education, Wuhan University, Wuhan 430079, P.R. China


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© 2015 Deng Yonghe;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the College of Engineering and Designing, Lishui College, Lishui, Zhejiang, 323000, P.R. China; Tel: +86 18969588403; E-mail: lsxydengyonghe@sina.com, a15925722009@163.com


Abstract

In the survey teaching materials of China, deducing Bessel mean square error formula is all based on survey values with same mathematical expectation. These methods aren’t perfect. So, based on survey values without same mathematics expectation to prove Bessel mean square error formula is very necessary. Therefore, considering different mathematical expectation, it is meaningful that this paper has perfectively deduced Bessel mean square error formula.

Keywords: Bessel mean square error formula, survey values with different mathematics expectation, deducing.



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