An intervened Poisson distribution and its medical application.

An intervened Poisson distribution and its medical application.
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DOI:
10.2307/2530973
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发表时间:
1985-12
期刊:
影响因子:
1.9
通讯作者:
R. Shanmugam
R. Shanmugam
中科院分区:
数学3区
文献类型:
--
作者:
R. Shanmugam

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零截尾泊松分布(zero-truncated Poisson distribution,ZTPD)是用来描述一种偶然机制的概率分布,这种机制的观测装置只有在至少一个事件发生时才开始活动。本文讨论了ZTPD的一种改进形式,我们称之为介入泊松分布(IPD)。我们给出了IPD的起源,并得到了它的统计性质。最后给出了一个数值例子来说明结果。
Among probability distributions that are used to describe a chance mechanism whose observational apparatus becomes active only when at least one event occurs is the zero-truncated Poisson distribution (ZTPD). A modified version of the ZTPD, which we call an intervened Poisson distribution (IPD), is discussed in this paper. We give a genesis of IPD and obtain its statistical properties. A numerical example is included to illustrate the results.