摘要
考虑了一类单参数指数族分布的估计问题,在熵损失下讨论了此类分布中未知参数的Bayes估计.给出了未知参数的一个无偏估计并验证了此估计量所具有的一些优良性质,最后在对称熵损失下得出了所讨论参数的Bayes估计.
A special exponential distribution family with an unknown parameter is considered. An unbiased estimator and the Bayes estimator under entropy loss function are obtained. Some properties of the estimator are given. A Bayes estimator under the q symmetric entropy loss function is also given at the end of the paper.
出处
《南阳师范学院学报》
CAS
2007年第6期22-24,共3页
Journal of Nanyang Normal University
关键词
熵损失函数
BAYES估计
无偏估计
C-R下界
q对称熵损失函数
entropy loss function
Bayes estimator
unbiased estimation
lower C-R bound
q symmetric entropy loss function