Artikel

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

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.

Sprache
Englisch

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

Thema
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

Ereignis
Geistige Schöpfung
(wer)
Chaudhuri, Arijit
Samaddar, Sonakhya
Ereignis
Veröffentlichung
(wer)
Sciendo
(wo)
Warsaw
(wann)
2022

DOI
doi:10.2478/stattrans-2022-0003
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Chaudhuri, Arijit
  • Samaddar, Sonakhya
  • Sciendo

Entstanden

  • 2022

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