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Cox-Ingersoll-Ross过程对数似然比的精细大偏差OACSTPCD

SHARP LARGE DEVIATIONS FOR THE LOG-LIKELIHOOD RATIO OF THE COX-INGERSOLL-ROSS PROCESS

中文摘要英文摘要

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.

In this paper,for the Cox-Ingersoll-Ross process in the stationary case,we inves-tigate 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.

吕亚倩;赵守江

三峡大学理学院,湖北宜昌 443002三峡大学理学院,湖北宜昌 443002

数学

Cox-Ingersoll-Ross过程对数似然比精细大偏差

Cox-Ingersoll-Ross processlog-likelihood ratiosharp large deviations

《数学杂志》 2024 (1)

35-46,12

Supported by National Natural Science Foundation of China(11601267).

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