区间(图论)
泊松分布
叠加原理
更新理论
死时间
系列(地层学)
卷积(计算机科学)
简单(哲学)
数学
统计物理学
应用数学
计算机科学
牙石(牙科)
统计
数学分析
物理
组合数学
认识论
机器学习
哲学
生物
古生物学
医学
牙科
人工神经网络
出处
期刊:Nuclear Instruments and Methods
[Elsevier]
日期:1973-09-01
卷期号:112 (1-2): 47-57
被引量:267
标识
DOI:10.1016/0029-554x(73)90773-8
摘要
The usual two types of dead times, extended and non-extended, are reviewed and fundamental properties of their effect on the interval distribution and the count rate are discussed briefly. The application of renewal theory to counting processes is sketched and it is shown how the interval distribution, which is distorted by the presence of a dead time, can be used to determine the resulting counting statistics. In particular, the modifications of an original Poisson process, due to a non-extended dead time, are indicated for the case where the origin of the measuring interval has been chosen at random. A simple application then shows the fallacy of the so-called zero-probability analysis. When renewal processes are superimposed, their convolution property is lost. Therefore, a general formula for the density of multiple intervals is given for the superposition of two component processes. These results have proved useful for studying two recently reported methods of measuring dead times. Finally, formulae are given for the four different ways of arranging two dead times in series. The review is confined to one-channel problems and the emphasis is on exact results.
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