SOME REMARKS ON OVERDISPERSION

SOME REMARKS ON OVERDISPERSION
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DOI:
10.1093/biomet/70.1.269
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发表时间:
1983-01-01
期刊:
影响因子:
2.7
通讯作者:
COX, DR
COX, DR
中科院分区:
数学2区
文献类型:
--
作者:
COX, DR

文献摘要

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结果表明,最大似然估计的一个简单的模型保持高效率的存在下,适度的过度分散。主要要求是目标参数应该是指数族分布的矩参数,或者更一般地说,是最大似然估计的阶n-1偏差为零的参数。扩展模型的解释变量进行了概述。
It is shown that maximum likelihood estimation of a simple model retains high efficiency in the presence of modest amounts of overdispersion. The main requirement is that the target parameter should be the moment parameter of an exponential family distribution, or more generally of a parameter for which the order n−1bias of the maximum likelihood estimate is zero. Extensions for models with explanatory variables are outlined.