Estimating the number of classes
Estimating the number of classes
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DOI：
10.1214/009053606000001280
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发表时间：
2007-04-01
影响因子：
4.5
通讯作者：
Lindsay, Bruce G.
中科院分区：
文献类型：
--
作者：
Mao, Chang Xuan;Lindsay, Bruce G.
估计总体中未知类别的数量有许多重要的应用。在泊松混合模型中，问题简化为估计样本中未检测到某一类别的几率。赔率的不连续性防止了局部无偏和信息估计的存在，并将可信区间限制为单边的。班数的可信区间也必然是片面的。开发了概率的下界序列，并用于定义类数量的伪最大似然估计器。
Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds prevents the existence of locally unbiased and informative estimators and restricts confidence intervals to be one-sided. Confidence intervals for the number of classes are also necessarily one-sided. A sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classes.