Local sequential testing procedures in a normal mixture model

Local sequential testing procedures in a normal mixture model
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DOI:
10.1080/03610929908832387
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发表时间:
1999
影响因子:
0.8
通讯作者:
Yanhong Wu;Yongxia Xu
Yanhong Wu;Yongxia Xu
中科院分区:
数学4区
文献类型:
--
作者:
Yanhong Wu;Yongxia Xu

文献摘要

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对于具有密度函数的简单正态混合模型,可以使用以下三个零假设:(i)和(iii) H 0: θ = 0中的任何一个来检验均匀性。本文考虑了局部序列似然比检验,并对其工作特性进行了研究。结果表明,在(iii)下开发的测试性能较好。对交替序列检验和0≤<∞的单侧情况也作了总结。
For the simple normal mixture model with density function , either one of the following three null hypotheses: (i) and (iii) H 0: θ = 0 can be used to test for homogeneity. In this paper, the local sequential likelihood ratio tests are considered and their operating characteristics are investigated. The results show that the test developed under (iii) performs better. Concluding remarks on alternative sequential tests and one-sided case with 0 ≤ < ∞ are also made.