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An Efficient Poisson Sampling Design in Proportional to Size Situation
Pegah Afshin , Bardia Panahbehagh, Amir H Sanatpour
Abstract:   (713 Views)

‎We introduce a modified Poisson sampling‎, ‎with a fixed lower bound of sample size‎. ‎The design is‎ ‎a combination of simple random sampling and Poisson sampling‎. ‎Simple random sampling is used to‎ ‎compensate for the lack of sample size from remaining elements in the finite population‎, ‎after execution of a‎

‎Poisson sampling‎. ‎At the first stage‎, ‎the units are sampled independently with given inclusion probabilities‎. ‎But in the‎ ‎second stage‎, ‎inclusion probabilities are dependent to each other‎. ‎Because it is important to know‎, ‎which‎ ‎of the elements are selected in the first stage and which of them are remained‎. ‎Some advantages of our‎ ‎design are‎: ‎simple performance‎, ‎controlling sample size‎, ‎ability to perform the method of probability‎ ‎proportional to size‎. ‎The simulations show that the design can‎ ‎dominate its rival design in probability proportional to size sampling‎.

Keywords: ‎Modified Poisson Sampling‎, ‎Efficiency‎, ‎Probability Proportional to Size.
Full-Text [PDF 5746 kb]   (169 Downloads)    
Type of Study: Research | Subject: Sampling
Received: 2017/10/29 | Accepted: 2019/02/15
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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