An alternative estimator for multiple characteristics in PPS sampling.

*(English)*Zbl 0563.62007The problem considered relates to large-scale sample surveys. A new estimator of population total for the characteristics that are poorly correlated with the selection probabilities has been developed for the PPSWR sampling scheme. The relative efficiency of the proposed estimator has been studied under a super-population model. A numerical investigation into the performance of the estimator has also been made.

##### MSC:

62D05 | Sampling theory, sample surveys |

##### Keywords:

multipurpose surveys; product moment correlation; residual variance; large-scale sample surveys; new estimator of population total; selection probabilities; PPSWR sampling scheme; relative efficiency; super- population model; numerical investigation
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\textit{M. L. Bansal} and \textit{R. Singh}, J. Stat. Plann. Inference 11, 313--320 (1985; Zbl 0563.62007)

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##### References:

[1] | Rao, J.N.K., Alternative estimators in PPS sampling for multiple characteristics, Sankhya ser. A, 28, 47-60, (1966) · Zbl 0146.39803 |

[2] | Cochran, W.G., Sampling techniques, (1963), John Wiley and Sons New York · Zbl 0051.10707 |

[3] | Des Raj, On the relative accuracy of some sampling techniques, J. amer. stat. assoc., 53, 98-101, (1958) · Zbl 0080.12601 |

[4] | Sen, A.R., On the estimate of the variance in sampling with varying probabilities, J. ind. soc. agric. statist., 5, 119-127, (1953) |

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