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February 2019 Extreme-cum-median ranked set sampling
Shakeel Ahmed, Javid Shabbir
Braz. J. Probab. Stat. 33(1): 24-38 (February 2019). DOI: 10.1214/17-BJPS373


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.


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Shakeel Ahmed. Javid Shabbir. "Extreme-cum-median ranked set sampling." Braz. J. Probab. Stat. 33 (1) 24 - 38, February 2019.


Received: 1 October 2016; Accepted: 1 August 2017; Published: February 2019
First available in Project Euclid: 14 January 2019

zbMATH: 07031062
MathSciNet: MR3898720
Digital Object Identifier: 10.1214/17-BJPS373

Keywords: extreme ranked set sampling , imperfect ranking , Median ranked set sampling , ranking error

Rights: Copyright © 2019 Brazilian Statistical Association


Vol.33 • No. 1 • February 2019
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