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Estimation of the correlation coefficient in probability proportional to size with replacement sampling

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Abstract

An estimator rg of the population correlation coefficient has been suggested in case of probability proportional to size with replacement sampling. The asymptotic bias, variance and the estimate of the variance of the estimator rg have been obtained. A comparison of this estimator has been made with the estimator r given by Gupta et al (1993) and usual estimator r1 for PPSWR sampling. The proposed estimator rg satisfies the condition -1≤ rg ≤ 1 which the estimator r does not satisfy.

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  1. Jai P. Gupta

    Present address: , 19, New Shanti Nagar, Railway Road, 250002, Meerut City, India

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  1. Mathematics and Statistics Department, Punjab Agricultural University, Ludhiana, India

    Jai P. Gupta

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  1. Jai P. Gupta
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Gupta, J.P. Estimation of the correlation coefficient in probability proportional to size with replacement sampling. Statistical Papers 43, 525–536 (2002). https://doi.org/10.1007/s00362-002-0121-z

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  • DOI: https://doi.org/10.1007/s00362-002-0121-z

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