论文标题
与多项式分布相关的大偏差的概率
The Probabilities of Large Deviations Associated with Multinomial Distributions
论文作者
论文摘要
我们考虑了多项式分布，其中细胞的数量增加，并且随着观测值的增长，细胞概率的降低。研究了大统计偏差的概率，该统计量具有一定数的细胞频率函数。功率传播统计数据及其最受欢迎的特殊变体以及某些计数统计的大偏差结果是作为一般定理的后果得出的。
We consider a multinomial distribution, where the number of cells increases and the cell-probabilities decreases as the number of observations grows. The probabilities of large deviations of statistics, which has form of a sum of Borel functions of cell-frequencies, are studied. Large deviation results for the power-divergence statistics and its most popular special variants, as well as for some count statistics are derived as consequences of general theorems.
