A Class of Alternative Estimators in Probability Proportional to Size Sampling with Replacement for Multiple Characteristics

Ekaette I. Enang, Godwin N. Amahia


In this paper, an alternative class of estimators in probability proportional to size (pps) with replacement sampling scheme for multi- character  surveys in which the study variables are poorly correlated with selection probabilities is developed. This is achieved by redefining the selection probabilities. Some existing estimators have been shown to be special cases of the proposed class. Numerical illustrations show that some transformations from the proposed class are more efficient than existing estimators under a super-population model.

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DOI: https://doi.org/10.5539/jmr.v4n3p66

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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