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Successive Sampling to Estimate Quantiles with P-Auxiliary Variables |
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| Authors: | María Del Mar Rueda Juan Francisco Muñoz Antonio Arcos |
| Affiliation: | (1) Department of Statistics and Operational Research, Facultad de Ciencias, University of Granada, Avenida Fuentenueva, s/n, 18071 Granada, Spain;(2) Department of Quantitative Methods in Economics and Business, Facultad de Ciencias Económicas y Empresariales, University of Granada, Campus Cartuja, s/n, 18071 Granada, Spain |
| Abstract: | The successive sampling is a known technique that can be used in longitudinal surveys to estimate population parameters and measurements of difference or change of a study variable. The paper discusses the estimation of quantiles for the current occasion based on sampling in two successive occasions and using p-auxiliary variables obtained of the previous occasion. A multivariate ratio estimator from the matched portion is used to provide the optimum estimate of a quantile by weighting the estimates inversely to derived optimum weights. Its properties are studied under large–sample approximation and the expressions of the variances are established. The behavior of these asymptotic variances is analyzed on the basis of data from natural populations. A simulation study is also used to measure the precision of the proposed estimator. |
| Keywords: | longitudinal surveys successive sampling matched and unmatched samples distribution function quantiles |
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