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Modified median quartile double ranked set sampling for estimation of population mean
Muhammad Ahmed Shehzad1, Anam Nisar1, Aamna Khan1
1Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan.
Heliyon
|August 8, 2024
Summary
This study introduces Modified Median Quartile Double Ranked Set Sampling (MMQDRSS), an efficient method for environmental monitoring. MMQDRSS offers a more precise population mean estimate, proving cost-effective for data gathering.
Area of Science:
- Environmental science
- Statistics
Background:
- Environmental monitoring requires cost-effective and unbiased data collection.
- Ranked Set Sampling (RSS) is a traditional method for observational economy.
Purpose of the Study:
- To introduce an innovative two-stage sampling approach for RSS.
- To develop a more precise estimator for the population mean.
- To evaluate the efficiency of the proposed Modified Median Quartile Double Ranked Set Sampling (MMQDRSS) method.
Main Methods:
- Proposed a novel two-stage sampling technique based on RSS.
- Introduced the Modified Median Quartile Double Ranked Set Sampling (MMQDRSS) estimator.
- Conducted simulation studies and utilized real-life data for evaluation.
Main Results:
- The MMQDRSS method provides a more precise estimate of the population mean.
- The proposed estimator demonstrates cost-effectiveness in environmental monitoring.
- MMQDRSS showed improved relative efficiency compared to existing sampling methods.
Conclusions:
- MMQDRSS is a valuable and efficient advancement in sampling techniques for environmental assessment.
- The method offers a cost-effective solution for obtaining precise population mean estimates.
- Further research can explore applications of MMQDRSS in various environmental monitoring scenarios.
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