Confidence intervals for quantiles in finite populations with randomized nomination sampling

Mohammad Nourmohammadi, Mohammad Jafari Jozani and Brad C. Johnson

Computational Statistics & Data Analysis, 2014, vol. 73, issue C, 112-128

Abstract: Given a finite population consisting of N elements, it is desired to obtain confidence intervals for (t/N)th quantile x(t) of the population based on the randomized nomination sampling (RNS) design. Three without replacement sampling protocols are described and procedures for constructing nonparametric confidence intervals for population quantiles are developed. Formulas for computing coverage probabilities for these confidence intervals are presented. Simulation studies are conducted and the performance of the RNS based confidence intervals is compared with those based on the simple random sample without replacement design.

Keywords: Confidence interval; Finite population; Nomination sampling; Quantile (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:73:y:2014:i:c:p:112-128

DOI: 10.1016/j.csda.2013.11.020

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