Abstract
In this paper an estimator of finite population kurtosis computed under the two-phase sampling for nonresponse is proposed. The formulas characterizing its asymptotic properties are derived using Taylor linearization technique for the general situation of arbitrary sampling designs in both phases and stochastic nonresponse represented by arbitrary response distribution. An important special case of simple random sampling without replacement and deterministic nonresponse is also considered.
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The work was supported by the grant No 1H02B 022 30 from the Ministry of Education and Science.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Gamrot, W. Estimation of finite population kurtosis under two-phase sampling for nonresponse. Stat Papers 53, 887–894 (2012). https://doi.org/10.1007/s00362-011-0392-3
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DOI: https://doi.org/10.1007/s00362-011-0392-3