标准偏差估算公式的推证 |
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引用本文: | 胡华科,郑春燕.标准偏差估算公式的推证[J].零陵学院学报,2004(11). |
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作者姓名: | 胡华科 郑春燕 |
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作者单位: | 嘉应学院地理系,嘉应学院地理系 广东 514015,广东 514015 |
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摘 要: | 针对标准偏差估算公式中对偏差的平方取平均值时为什么除于n-1而不除于n(n为测量次数)的问题,根据测量误差理论,给出了严密的推理证明。
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关 键 词: | 偶然误差 中误差 标准偏差 精度估计 |
A Rigorous Inference to the Estimation Formula of the Standard Deviation |
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Authors: | HU Hua-ke ZHENG Chun-yan |
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Abstract: | In obtaining the average value of the square deviation with the estimation formula of the standard deviation, why is it divided by n-1 instead of n (n stands for the survey times)? Concerning this question, this paper gives a rigorous inference with theory of surveying errors. |
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Keywords: | random error root mean square error (RMSE) standard deviation precision estimation |
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