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有关直方图峰值众数计算新方法的探讨

iscussion of The histogram peak mode new methods

中文摘要英文摘要

应用直方图进行质量判定新方法的研究涉及到众数的计算方法。在单峰的条件下直方图客观存在对称与不对称两种分布形态。直方图在不对称的条件下实质上与偏斜分布等价。偏斜分布数学期望值的计算方法是众数组的组中值,这与传统直方图众数的计算方法显然不一致,基于所出现差异的不足,本文依据高斯分布原理从左右期望差的计算公式导出直方图计算峰值众数的新方法。

he research that application of the histogram of quality determine new methods involve the calculation of the mode. In the single-peak of conditions, two kinds of distribution patterns that symmetric patterns and asymmetric patterns existed in the histograms of objective. Histogram is practical equivalency that in the asymmetric conditions of the skewed distribution. The calculation of skew distribution of mathematical expectation value is group central-value, it is clearly inconsistent with the traditional calculating method of the mode-group histogram. As appear on the lack of the discrepancy, the histogram new methods of calculating mode is deduced base on the calculation mode of Gaussian distribution theory about left expected deviation and right expected deviation.

孔璐、孔建新、孔建勇

数学

直方图众数正态分布偏斜分布组中值

histogrammodenormal distributionskewed distributiongroup central-value

孔璐,孔建新,孔建勇.有关直方图峰值众数计算新方法的探讨[EB/OL].(2009-09-25)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200909-690.点此复制

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