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On Conditional Simple Random Sample

100%

Wywiał J. L.

Statistics in Transition new series

2014

vol. 15

issue 4

525–534

Estimation of the population average in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics of the auxiliary variable is studied. The sampling scheme implementing the sampling design is proposed. The inclusion probabilities are derived. The well known Horvitz-Thompson statistic under the conditional simple random sampling designs is considered as the estimator of population mean. Moreover, it was shown that the Horvitz-Thompson estimator under some particular cases of the conditional simple random sampling design is more accurate than the ordinary mean from the simple random sample.

Estimation of Mean on The Basis of Conditional Simple Random Sample

84%

Wywiał J. L.

Statistics in Transition new series

2016

vol. 17

issue 3

411-428

Estimation of the population mean in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics (quantiles) of an auxiliary variable is considered. Properties of the well-known Horvitz-Thompson and ratio type estimators as well as the sample mean are taken into account under the conditional simple random sampling designs. The considered examples of empirical analysis lead to the conclusion that under some additional conditions the proposed estimation strategies based on the conditional simple random sample are usually more accurate than the mean from the simple random sample drawn without replacement.

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2 Statistics in Transition new series

2 Wywiał J. L.

1 2016

1 2014

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On Conditional Simple Random Sample

Estimation of Mean on The Basis of Conditional Simple Random Sample