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

Artikel

In surveying finite populations, the simplest strategy to estimate a population total with- out 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 Replace- ment (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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Statistics in Transition new series (SiTns) ; ISSN: 2450-0291 ; Volume: 23 ; Year: 2022 ; Issue: 1 ; Pages: 39-54 ; Warsaw: Sciendo

Classification and Topics

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

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Chaudhuri, Arijit ; Samaddar, Sonakhya
• Event: Veröffentlichung
• (who): Sciendo
• (where): Warsaw
• (when): 2022

Further information

• DOI: doi:10.2478/stattrans-2022-0003
• Handle: http://hdl.handle.net/10419/266294
• Last update: 10.03.2025, 11:42 AM CET