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Cox-Ingersoll-Ross过程对数似然比的精细大偏差
吕亚倩,赵守江
作者单位E-mail
吕亚倩 三峡大学理学院, 湖北 宜昌 443002  
赵守江 三峡大学理学院, 湖北 宜昌 443002 shjzhao@163.com 
摘要:
本文研究了平稳状态下Cox-Ingersoll-Ross过程在原假设和备择假设下对数似然比的精细大偏差问题.利用测度变换和特征函数技巧,本文得到了对数似然比的完全展开式.
关键词:  Cox-Ingersoll-Ross过程  对数似然比  精细大偏差
DOI:
分类号:O211.4
基金项目:Supported by National Natural Science Foundation of China(11601267).
SHARP LARGE DEVIATIONS FOR THE LOG-LIKELIHOOD RATIO OF THE COX-INGERSOLL-ROSS PROCESS
LV Ya-qian,ZHAO Shou-jiang
Abstract:
In this paper, for the Cox-Ingersoll-Ross process in the stationary case, we investigate the sharp large deviations for the log-likelihood ratio under null hypothesis and alternative hypothesis.By using the change of measure and characteristic function techniques, we obtain the full expansion for the log-likelihood ratio.
Key words:  Cox-Ingersoll-Ross process  log-likelihood ratio  sharp large deviations