Brazilian Journal of Probability and Statistics

Extreme-cum-median ranked set sampling

Shakeel Ahmed and Javid Shabbir

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A mixture of Extreme Ranked Set Sampling (ERSS) and Median Ranked Set Sampling (MRSS) is introduced to obtain a more representative sample using three out of five number summary statistics [i.e., Minimum, Median and Maximum]. The proposed sampling scheme provides unbiased estimator of mean for symmetric population and gives moderate efficiency for both symmetric and asymmetric populations under perfect as well as imperfect rankings. Expressions for bias and asymptotic variance are presented. A simulation study is also conducted to observe the performance of the proposed estimator. Application of proposed sampling scheme is illustrated through a real life example.

Article information

Braz. J. Probab. Stat., Volume 33, Number 1 (2019), 24-38.

Received: October 2016
Accepted: August 2017
First available in Project Euclid: 14 January 2019

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Median ranked set sampling extreme ranked set sampling ranking error imperfect ranking


Ahmed, Shakeel; Shabbir, Javid. Extreme-cum-median ranked set sampling. Braz. J. Probab. Stat. 33 (2019), no. 1, 24--38. doi:10.1214/17-BJPS373.

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