ESTIMATION FOR BIVARIATE POISSON DISTRIBUTION
ESTIMATION FOR BIVARIATE POISSON DISTRIBUTION
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DOI：
10.1093/biomet/51.1-2.241
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发表时间：
1964-01-01
期刊：
影响因子：
2.7
通讯作者：
HOLGATE, P
中科院分区：
文献类型：
--
作者：
HOLGATE, P
本文研究了二元泊松分布的协方差参数的估计。结果表明，矩量法对于具有明显相关性的分布具有较低的效率，并给出了求解似然方程的迭代方法。对参数空间的某些区域提出了一种比矩量法更有效的估计方法。最后，给出了将极大似然方法应用于两组数据的数值结果作为说明。
This paper is concerned with the estimation of the covariance parameter of the bivariate Poisson distribution. It is shown that the method of moments has low efficiency for distributions with appreciable correlation, and an iterative method of solving the likelihood equation is described. A further method of estimation is described which is more efficient than the method of moments for certain regions of the parameter space. Finally, the numerical results of applying the maximum-likelihood method to two sets of data are given as illustrations.