摘要
正态分布族、指数分布族、极值分布族等这一类分布族的共同特点是有位置参数 μ和尺度参数σ .这一类分布族的参数估计可用无偏估计 ,一致最小方差无偏估计和最优线性无偏估计 .本文证明了所有这一类二参数分布族的最优线性无偏估计 ,并讨论了二参数指数分布的最优线性无偏估计 .
The class of the distributed groups, such as the normal distributed group, the index distributed group, and the extreme value distributed group, has the common features that each of them has location parameter μ and scale parameter σ. The estimation of this class of the distributed group can be done by the unbiased estimation, uniformly minimum variance estimation and the optimal linear unbiased estimation. In this paper, the optimal linear unbiased estimation of the two parameter distributed group of this class is proved, and the optimal linear unbiased estimation of the two parameter index distribution is discussed.
出处
《吉林化工学院学报》
CAS
2002年第3期72-75,共4页
Journal of Jilin Institute of Chemical Technology
