简单随机抽样的一个注记  

A Note on Simple Random Sampling

作　　者：董俊超[1] DONG Jun-chao(School of Mathematics and Information Sciences,Yantai University,Yantai Shandong 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《大学数学》2021年第3期117-120,共4页College Mathematics

摘　　要：对简单随机抽样两种定义的关系进行了讨论,澄清了教科书中的一些模糊不清之处;通过反例举证了两种定义在某种意义下的不等价性;给出了变概率抽样与不等概率抽样的定义,指出变概率抽样与不等概率抽样也可以是简单随机抽样;本文最后,给出了简单随机抽样的更具一般性的(广义)定义.Some confusions areclarified on the relations between the two definitions of simple random sampling;their non equivalence in some senses is given by examples.The definitions of varying-probability sampling and unequal probability sampling are proposed,pointing out that varying-probability sampling and unequal probability sampling can be as a simple random sampling;a more general definition ofsimple random sampling is given in the end.

关 键 词：简单随机抽样 不等价 变概率抽样 不等概率抽样 

分 类 号：O212.7[理学—概率论与数理统计]