| 正态分布百分位值和百分率的置信限和容忍限公式 |
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| 引用本文： | 傅惠民.正态分布百分位值和百分率的置信限和容忍限公式[J].航空学报,1994,15(1):94-101. |
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| 作者姓名： | 傅惠民 |
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| 作者单位： | 北京航空航天大学固体力学所 |
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| 摘 要： | 建立了正态分布置信限曲线方程,给出了其百分位值和百分率的置信限公式和容忍限公式。该公式对完全数据、不完全数据和无失效数据均适用,并且可综合利用当前数据和经验数据。
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| 关 键 词： | 正态密度函数 置信限 可靠性分析 |
| 收稿时间： | 1993-03-08; |
FORMULAS FOR TOLERANCE LIMITS AND CONFIDENCE LIMITS OF NORMAL POPULATION PERCENTILES AND PERCENTAGES |
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| Fu Huimin.FORMULAS FOR TOLERANCE LIMITS AND CONFIDENCE LIMITS OF NORMAL POPULATION PERCENTILES AND PERCENTAGES[J].Acta Aeronautica et Astronautica Sinica,1994,15(1):94-101. |
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| Authors: | Fu Huimin |
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| Institution: | Institute of Solid Mechanics,Beijing University of Aeronautics and Astronautics,Beijing,1 00083 |
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| Abstract: | he equations for confidence limit curves of a normal distribution are established. The formulas for confidence limits of percentiles and percentages and tolerance limits of a normal distribution are given by means of the noncentral t-distribution. The one-sided confidence limits and two-sided confidence intervals of percentiles and percentages can be obtained,and the one-sided tolerance limits and two-sided tolerance intervals of a normal distribution may be cal- culated by these formulas.They are applicable to the complete,the incomplete and the zero-fail ure data.Amethod of combining sample means or sample variances is also presented to make full use of previous data and reduce the number of specimens.The formulas are simple and con- venient for application in engineering. |
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| Keywords: | normal density functions confidence limits reliability analysis |
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