顺序统计量极差的概率分布与闭合差的限值
On the Probability Distribution of the Extreme Range of Sequenced Statistical Quantities and the Limiting Value of Discrepancy
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摘要: 为保证测量精度,对观测值要进行校核,主要是要求各种闭合差不能超过限值,现行规范对这些限值的规定因未考虑观测值的个数,因而是欠妥当的。本文应用数理统计的原理推导和计算了极差的概率分布,并根据它对观测值的外业校核提出了几点建议。Abstract: In order to guarantee the accuracy of measurements the observations mast be checked.In practice it is required that all hinds of discrepancy should not exceed their respective limiting values.But in the current official specification,the numbers of observation are not taken into account for defining the limiting values of discrepancy,this is not reasonable.So in this paper the author derived and calculated the probability distribution of extre me range by means of the principle of mathematical statisties,and put forward some requirements for checking the observations in the field works.
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