Modified median quartile double ranked set sampling for estimation of population mean

Muhammad Ahmed Shehzad; Anam Nisar; Aamna Khan; Walid Emam; Yusra Tashkandy; Haris Khurram; Isra Al-Shbeil

doi:10.1016/j.heliyon.2024.e34627

Modified median quartile double ranked set sampling for estimation of population mean

Heliyon. 2024 Jul 14;10(14):e34627. doi: 10.1016/j.heliyon.2024.e34627. eCollection 2024 Jul 30.

Authors

Muhammad Ahmed Shehzad¹, Anam Nisar¹, Aamna Khan¹, Walid Emam², Yusra Tashkandy², Haris Khurram^{3

4}, Isra Al-Shbeil^{5

6}

Affiliations

¹ Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan.
² Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia.
³ Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Chiniot-Faisalabad Campus, Pakistan.
⁴ Department of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Pattani, Thailand.
⁵ Department of Mathematics, Faculty of Science, The University of Jordan, Amman, 11942, Jordan.
⁶ Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, K1N 6N5, Canada.

Abstract

Environmental monitoring and assessment aim to gather data economically, without bias, using efficient and cost-effective sampling methods. One such traditional method is Ranked Set Sampling (RSS), often employed to achieve observational economy. This article introduces an innovative two-stage sampling approach for ranked set sampling (RSS) to get a more precise estimate of the population mean. Modified Median Quartile Double Ranked Set Sampling (MMQDRSS) highlights the ranked base technique's potential as a cost-effective sampling method. To evaluate the performance of the proposed estimator by using real-life data and conducting a simulation study to compare the relative efficiency of the proposed estimator with some existing methods.

Keywords: Extreme double ranked set sampling (EDRSS); Median double ranked set sampling (MDRSS); Population mean; Quartile double ranked set sampling (QDRSS); Ranked set sampling (RSS).