A Historical Sketch and Some New Results on the Improved Log Likelihood Ratio Statistic
A Historical Sketch and Some New Results on the Improved Log Likelihood Ratio Statistic
复制标题
改进对数似然比统计的历史概述和一些新结果
DOI：
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发表时间：
1993
影响因子：
1
通讯作者：
J. L. Jensen
中科院分区：
文献类型：
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作者：
J. L. Jensen
在第一部分中，我们讨论使用 Bartlett 调整对数似然比统计量时有关减少卡方近似误差的已知结果。在第二部分中，我们陈述前四个对数似然导数同时具有连续变量和格变量的情况的一些新结果。后面的结果很有趣，例如与审查生命周期和逻辑回归有关。最后，在最后一节中，我们讨论如何使用 REDUCE 执行代数运算。
In the first part we discuss the known results concerning the reduction of the error of the chi-squared approximation when using the Bartlett adjusted log likelihood ratio statistic. In the second part we state some new results for the case where the first four log likelihood derivatives have both continuous and lattice variables. The latter results are of interest for example in connection with censored life times and in logistic regression. Finally, in the last section we discuss how to perform the algebraic manipulations using REDUCE.