Local asymptotic mixed normality for semimartingale experiments

Local asymptotic mixed normality for semimartingale experiments
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半鞅实验的局部渐近混合正态性

DOI:
10.1007/bf01194919
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发表时间:
1992
影响因子:
2
通讯作者:
H. Luschgy
H. Luschgy
中科院分区:
数学1区
文献类型:
--
作者:
H. Luschgy

文献摘要

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给出了当观测过程为半鞅且观测时间增加到无穷大时,试验局部渐近混合正态的条件。由此,我们得到了各种估计量的渐近有效性。研究了计数过程、S过程、扩散过程和带跳跃的扩散过程的几种特殊模型。
SummaryWe give conditions for local asymptotic mixed normality of experiments when the observed process is a semimartingale and the observation time increases to infinity. As a consequence we obtain asymptotic efficiency of various estimators. Several special models for counting process,s, diffusion processes and diffusions with jumps are studied.