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简单随机抽样的一个注记
A Note on Simple Random Sampling
【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.
【Abstract】 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;
【Key words】 simple random sampling; non equivalence; varying-probability sampling; unequal probability sampling;
【Key words】 simple random sampling; non equivalence; varying-probability sampling; unequal probability sampling;
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2021年03期
- 【分类号】O212.2-4;G642
- 【下载频次】260