Estimating the population proportion in pair ranked set sampling with application to air quality monitoring

ABSTRACT

In this paper, we consider the problem of estimating the population proportion in pair ranked set sampling design. An unbiased estimator for the population proportion is proposed, and its theoretical properties are studied. It is shown that the estimator is more (less) efficient than its counterpart in simple random sampling (ranked set sampling). Asymptotic normality of the estimator is also established. Application of the suggested procedure is illustrated using a data set from an environmental study.

KEYWORDS:

• Pair ranked set sampling
• ranked set sampling
• relative efficiency
• concomitant variable
• cost efficiency
• judgment ranking

MATHEMATICS SUBJECT CLASSIFICATIONS:

• 62D05
• 62F03

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Corrigendum

Acknowledgements

The authors are thankful to anonymous referees and an editor for their valuable comments and suggestions which substantially improved the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Ehsan Zamanzade http://orcid.org/0000-0002-6176-0607

M. Mahdizadeh http://orcid.org/0000-0002-2355-9259