Mean estimation based on the factor-type estimator under an adaptive cluster sampling design

Narendra Singh Thakur; Shubhangi Chaurasia; Unnati Bhayare

doi:https://doi.org/10.59139/stattrans-2025-046

Mean estimation based on the factor-type estimator under an adaptive cluster sampling design

Narendra Singh Thakur Department of Statistics, Govt. Model Girls College, Sheopur, MP, India ORCID:https://orcid.org/0000-0001-9731-058X , Shubhangi Chaurasia Department of Mathematics and Statistics, SMS Govt. Model Science College, Gwalior, MP, India ORCID:https://orcid.org/0009-0007-2399-7746 , Unnati Bhayare Department of Statistics, Govt. (Model, Autonomous) Holkar Science College, Indore, MP, India ORCID:https://orcid.org/0009-0001-5561-0303 Statistics in Transition new series, vol. 26, 2025, 4, pages: 185-199 Published online: 5 December 2025 https://doi.org/10.59139/stattrans-2025-046 Citation: Thakur N.S., Chaurasia S., Bhayare U., 2025. Estimation of mean using factor-type estimator under adaptive cluster sampling design. Statistics in Transition new series, 26(4), pp. 185-199 https://doi.org/10.59139/stattrans-2025-046

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ABSTRACT

If a sample is designated by a standard sampling strategy and if the character of the study satisfies a predetermined statement for an independent unit in the sample, then the items in the locality remain automatically in the sample. This type of method of selection of sampling units is called adaptive cluster sampling. This manuscript emphasizes the use of the factor-type estimator designed for population mean of the variable under study using the data of highly correlated auxiliary (supplementary) variable under adaptive cluster sampling. The bias, mean squared error and optimum mean squared errors up to the first order is obtained and a simulation study is performed for comparison purpose.

KEYWORDS

adaptive cluster sampling (ACS), ratio estimator, factor-type estimator, auxiliary variable, bias, mean squared error (MSE)

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