文章基本信息

标题：Modified systematic sampling with multiple random starts
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作者：Sat Gupta ; Zaheen Khan ; Javid Shabbir. 等
期刊名称：RevStat : Statistical Journal
印刷版ISSN：1645-6726
出版年度：2018
卷号：16
期号：2
页码：187-212
出版社：Instituto Nacional de Estatística
摘要：Systematic sampling has been facing two problems since its beginning; situational complications, e.g., population size N not being a multiple of the sample size n, and unavailability of unbiased estimators of population variance for all possible combinations of N and n. These problems demand a sampling design that may solve the said problems in a practicable way. In this paper, therefore, a new sampling design is introduced and named as, “Modified Systematic Sampling with Multiple Random Starts”. Linear systematic sampling and simple random sampling are the two extreme cases of the proposed design. The proposed design is analyzed in detail and various expressions have been derived. It is found that the expressions for linear systematic sampling and simple random sampling may be extracted from these expressions. Finally, a detailed efficiency comparison is also carried out in this paper.
关键词：Modified Systematic Sampling; Linear Systematic Sampling; Simple Random Sampling; Circular Systematic Sampling; Modified Systematic Sampling: Linear Trend;