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Estimation of Nested Error Non-parametric Unit Level Model

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  • Patrick Munyangabo
  • Anthony Waititu
  • Anthony Kibira Wanjoya

Abstract

In this paper, we proposed a nested error nonparametric unit level model, when the linearity assumptions have been violated. The model formulation and parameter estimation of mean function were examined and proposed two theorems for asymptotic properties of mean function of proposed model were done. The simulation study was performed and it has shown that the mean square errors (MSE) and bias of our estimated were close to zero.Keywords: Schwarzs inequality; Triangle inequality

Suggested Citation

  • Patrick Munyangabo & Anthony Waititu & Anthony Kibira Wanjoya, 2019. "Estimation of Nested Error Non-parametric Unit Level Model," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 8(1), pages 1-3.
    • Handle: RePEc:spt:stecon:v:8:y:2019:i:1:f:8_1_3
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    References listed on IDEAS

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    1. J. D. Opsomer & G. Claeskens & M. G. Ranalli & G. Kauermann & F. J. Breidt, 2008. "Non‐parametric small area estimation using penalized spline regression," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(1), pages 265-286, February.
    2. Nikos Tzavidis & Nicola Salvati & Monica Pratesi & Ray Chambers, 2008. "M-quantile models with application to poverty mapping," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 17(3), pages 393-411, July.
    3. María José Lombardía & Stefan Sperlich, 2008. "Semiparametric inference in generalized mixed effects models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 913-930, November.
    4. Monica Pratesi & M. Ranalli & Nicola Salvati, 2009. "Nonparametric -quantile regression using penalised splines," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(3), pages 287-304.
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    1. Patrick Munyangabo & Anthony Waititu & Anthony Kibira Wanjoya, 2019. "Nested Error Non-parametric Unit Level Model performance in the context of empirical Bayes (EB) approach," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 8(3), pages 1-3.

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    Keywords

    schwarzs inequality; triangle inequality;

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