Estimating the population mean using a complex sampling design dependent on an auxiliary variable

• Authors: Arijit Chaudhuri , Sonakhya Samaddar

Abstracts

EN

In surveying finite populations, the simplest strategy to estimate a population total without bias is to employ Simple Random Sampling (SRS) with replacement (SRSWR) and the expansion estimator based on it. Anything other than that including SRS Without Replacement (SRSWOR) and usage of the expansion estimator is a complex strategy. We examine here (1) if from a complex sample at hand a gain in efficiency may be unbiasedly estimated comparing the ”rival population total-estimators” for the competing strategies and (2) how suitable model-expected variances of rival estimators compete in magnitude as examined numerically through simulations.

Keywords

EN

Des Raj and symmetrized Des Raj estimator and associated variance; Hartley-Ross; Horvitz-Thompson; Lahiri-Midzuno-Sen; Murthy; Rao-Hartley-Cochran procedures vis-a-vis SRSWOR and SRSWR; Hansen-Hurwitz estimation and variance

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2022
• Volume: 23
• Issue: 1
• Pages: 39-54

Dates

published

2022

Contributors

author

Arijit Chaudhuri

• Indian Statistical Institute, Kolkata, India

• https://orcid.org/0000000243057686

author

Sonakhya Samaddar

• Indian Statistical Institute, Kolkata, India

• https://orcid.org/0000000294620520

References

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Identifiers

DOI

10.21307/stattrans-2022-003

Biblioteka Nauki

2034118