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On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model

Małgorzata Karolina Krzciuk · Lodz University Press · 2017

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Author / responsible party
Małgorzata Karolina Krzciuk
Publisher
Lodz University Press
Year
2017
ISSN
0208-6018
ISSN
0208-6018
Language
English

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We consider the problem of the estimation of the mean squared error (MSE) of some domain mean predictor for Fay‑Herriot model. In the simulation study we analyze properties of eight MSE estimators including estimators based on the jackknife method (Jiang, Lahiri, Wan, 2002; Chen, Lahiri, 2002; 2003) and parametric bootstrap (Gonzalez‑Manteiga et al., 2008; Buthar, Lahiri, 2003). In the standard Fay‑Herriot model the independence of random effects is assumed, and the biases of the MSE estimators are small for large number of domains. The aim of the paper is the comparison of the properties of MSE estimators for different number of domains and the misspecification of the model due to the correlation of random effects in the simulation study.

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APA 7

Krzciuk, M. K. (2017). On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model. https://doi.org/10.18778/0208-6018.331.11

MLA

Krzciuk, Małgorzata Karolina. "On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model." 2017. https://doi.org/10.18778/0208-6018.331.11.

Chicago

Krzciuk, Małgorzata Karolina. 2017. "On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model.". https://doi.org/10.18778/0208-6018.331.11.

Harvard

Krzciuk, M. K. 2017, On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model, Lodz University Press, available at: https://doi.org/10.18778/0208-6018.331.11 [Accessed 9 Aug. 2026].

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Resource details

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Title
On the Simulation Study of Jackknife and Bootstrap MSE Estimators of a Domain Mean Predictor for Fay‑Herriot Model
Author / contributors
Małgorzata Karolina Krzciuk
Publisher
Lodz University Press
Publication year
2017
ISSN
0208-6018
ISSN
0208-6018
Language
English

Subjects

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estimators of MSE; jackknife; parametric bootstrap; Empirical Best Linear Unbiased Predictor; Fay‑Herriot model; simulation
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