Abstract

The combined ratio-type estimators of the finite population total and their variances in the case of sample rotation for two-phase and four-phase sampling schemes are constructed in the paper. Combined estimators of the finite population total without and with the use of auxiliary information known from the previous survey are built. Two types of sampling design are used for sample selection in each of the phases: simple random sampling without replacement and successive sampling without replacement with probabilities proportional to size. A simulation study, based on the real data, is performed, and the accuracy of the estimators proposed is compared.

Highlights

  • A sample survey when information is collected regularly on the same population in subsequent time periods with the partial replacement of the sample is studied

  • Combined estimators of the finite population total without and with the use of auxiliary information known from the previous survey are constructed

  • The construction of the combined estimator of the finite population total and its variance in the case of sample rotation is analyzed for two-phase and four-phase sampling schemes

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Summary

Introduction

A sample survey when information is collected regularly on the same population in subsequent time periods with the partial replacement of the sample is studied. Combined estimators of the finite population total without and with the use of auxiliary information known from the previous survey are constructed. The construction of the combined estimator of the finite population total and its variance in the case of sample rotation is analyzed for two-phase and four-phase sampling schemes. A two-phase sampling design and estimators of the total with the use of auxiliary information are given in Särndal et al [21]. They are applied here to the Lithuanian LFS data in the case of a simple random sample of individuals, and the current paper is a further development of [7]. A simulation study, based on the real population data, is performed, and the estimators proposed are compared

Sample rotation and sample selection
Simple estimators of the population total
Combined estimators of the population total
Two-phase sampling scheme
Four-phase sampling scheme
Order sampling designs
Simulation study
Conclusions
Discussion

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