Enhanced Estimators for Population Mean Using Auxiliary Attribute

This research is motivated by the unbiased ratio estimator proposed by Tin (1965), the unbiased product estimator proposed by Robson (1957), and the unbiased estimator proposed by Mahanty and Mishra (2020), which were developed under the auxiliary attribute in simple random sampling without replacement. It was found that if the data analyzed met the conditions, the proposed estimators will be more efficient than the mean per unit estimator. Among them, the estimator based on Mahanty and Mishra’s is the most efficient, both theoretically and in numerical illustration.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1995080224607525
Primary Topic
Mycorrhizal Fungi and Plant Interactions
Type
article
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article

Enhanced Estimators for Population Mean Using Auxiliary Attribute

Lobachevskii Journal of Mathematics
Mycorrhizal Fungi and Plant Interactions
article

Enhanced Estimators for Population Mean Using Auxiliary Attribute

article en

Abstract

This research is motivated by the unbiased ratio estimator proposed by Tin (1965), the unbiased product estimator proposed by Robson (1957), and the unbiased estimator proposed by Mahanty and Mishra (2020), which were developed under the auxiliary attribute in simple random sampling without replacement. It was found that if the data analyzed met the conditions, the proposed estimators will be more efficient than the mean per unit estimator. Among them, the estimator based on Mahanty and Mishra’s is the most efficient, both theoretically and in numerical illustration.

Lobachevskii Journal of MathematicsVol. 45(12)
Khon Kaen University (TH), Rajabhat Maha Sarakham University (TH)
Openalex Percentile: Top 60%
Mycorrhizal Fungi and Plant Interactions
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