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Estimation of finite population kurtosis under two-phase sampling for nonresponse

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  • Wojciech Gamrot

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. Copyright The Author(s) 2012

Suggested Citation

  • Wojciech Gamrot, 2012. "Estimation of finite population kurtosis under two-phase sampling for nonresponse," Statistical Papers, Springer, vol. 53(4), pages 887-894, November.
    • Handle: RePEc:spr:stpapr:v:53:y:2012:i:4:p:887-894
    DOI: 10.1007/s00362-011-0392-3
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    References listed on IDEAS

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    1. M. Rueda & S. González, 2004. "Missing data and auxiliary information in surveys," Computational Statistics, Springer, vol. 19(4), pages 551-567, December.
    2. Housila Singh & Sunil Kumar, 2010. "Estimation of mean in presence of non-response using two phase sampling scheme," Statistical Papers, Springer, vol. 51(3), pages 559-582, September.
    3. S. González & M. Rueda & A. Arcos, 2008. "An improved estimator to analyse missing data," Statistical Papers, Springer, vol. 49(4), pages 791-796, October.
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    Keywords

    Estimation; Kurtosis; Two-phase sampling; Non-response; 62; 62D05;
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