截断型分布族下参数的可容许性估计的一个注记  

A Notation on Admissible Estimator of the Parameter in the Truncation Type Family

作　　者：张建国 张新育[1,2] 

机构地区：[1]开封师专数学系 [2]郑州工业大学数理力学系

出　　处：《郑州工业大学学报》1997年第4期82-86,共5页Journal of Zhengzhou University of Technology

摘　　要：参数估计理论是统计决策理论的一个重要内容，本文工作是将著名统计学家Ｋａｒｌｉｎ［１］关于截断型分布族下参数估计可容许性的有关结果推广到α＜０的情形。并给出在经济学中有广泛应用的Ｐａｒｅｔｏ分布族中参数θ和θ２的可容许的Ｍｉｎｉｍａｘ估计。The theory of parameter estimation is an important content in the policymaking theory of statistics,and a lot of achievements in scientific research have alteady been made.This essay attempts to extend and advance the point α<0 according to the relivant results on admissible estimator of the parameter in the Truncation Type Fomily pointed by the famous statistician,Karlin,and it also states the minimax estimation on admissible estimator of Parameter θ and θ2 in the Pareto Type Family used widely in Economics.

关 键 词：统计决策理论 可容许性 参数估计 截断型分布族 

分 类 号：O213[理学—概率论与数理统计] TB114[理学—数学]