Postgrouped sampling method of estimation |
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Authors: | M Ruiz Espejo M Delgado Pineda H P Singh |
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Affiliation: | (1) Departamento de Matemáticas Fundamentales, UNED, Spain;(2) School of Studies in Statistics, Vikram University, Ujjain, India;(3) Apartado 19207, 28080 Madrid, Spain |
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Abstract: | A postgrouped sampling is considered for estimating the (finite or finite), population mean. Double sampling and an empirical-weighted
estimator is used. Unbiasedness, variance and efficiency are considered. Its properties are discussed allowing the simple
random sampling with replacement (SRSWR) design in the first phase, and in each stratum for the second phase. It is shown
that for a fixed sample size in each postgroup, the variance of the proposed estimator with less prior information is asymptotically
equivalent to the usual stratified estimator for fixed allocation. Some examples are provided for natural populations., The
method is also extended to simple random sampling without replacement (SRSWOR) design in the first phase, and in each stratum
for the second phase. Unbiased variance estimation is provided for both types of sampling designs. |
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Keywords: | Asymptotic efficiency double sampling population mean postgroud sampling unbiased estimation |
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