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Mean square error and variance estimation of the sample ratio under Lahiri ’s design

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  • Saigo, Hiroshi

Abstract

The mean square error of the sample ratio under Lahiri’s design is derived and is compared with that under simple random sampling without replacement. New variance estimators of the sample ratio under the design are proposed. A simulation study is conducted to confirm the main results.

Suggested Citation

  • Saigo, Hiroshi, 2025. "Mean square error and variance estimation of the sample ratio under Lahiri ’s design," Statistics & Probability Letters, Elsevier, vol. 216(C).
    • Handle: RePEc:eee:stapro:v:216:y:2025:i:c:s0167715224002463
    DOI: 10.1016/j.spl.2024.110277
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    1. Chauvet, Guillaume, 2020. "Large sample properties of the Midzuno sampling scheme with probabilities proportional to size," Statistics & Probability Letters, Elsevier, vol. 159(C).
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