The Exact Calculation ol Sequence Tests Using Matrix Method

Sheng Ji-liang; Yang Bing-Xi

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The Exact Calculation ol Sequence Tests Using Matrix Method

更新时间：2025-12-08

- The Exact Calculation ol Sequence Tests Using Matrix Method
- Acta Electronica Sinica Issue 3, Pages: 46-53(1987)
- 作者机构：
  
  中国人民解放军空军研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1987
- 稿件说明：
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[1]盛继良,杨秉喜.用矩阵法进行序贯试验精确计算[J].电子学报,1987(03):46-53.

Sheng Ji-liang, Yang Bing-Xi. The Exact Calculation ol Sequence Tests Using Matrix Method[J]. Acta Electronica Sinica, 1987, (3): 46-53.
[1]盛继良,杨秉喜.用矩阵法进行序贯试验精确计算[J].电子学报,1987(03):46-53. DOI：

Sheng Ji-liang, Yang Bing-Xi. The Exact Calculation ol Sequence Tests Using Matrix Method[J]. Acta Electronica Sinica, 1987, (3): 46-53. DOI：

摘要

本文提供在序贯试验中计算各接收时刻的接收概率和各时间区段的拒收概率的方法

从而给出工作特性曲线（OC）。然后给出三种计算期望试验时间（ETT）的精确公式

并简略证明它们是等同的。最后导出序贯试验计算的综合表达式

用它可以计算OC、ETT和MTBF的置信限。

Abstract

This paper presents the method for calculating the probability of accepting at each acceptance time point and the probability of rejecting on each time interval in the sequential tests so that the operating characteristic curve can be computed recursively. Then three exact formulae for calculating the expected test time are derived and proved briefly equivalent each other. Finally

a synthetic expression for sequential test calculation is derived

from which OC

ETT and confidence limit on the MTBF can be calculated.

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