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On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems
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| Zeitschriftentitel: | Journal of Official Statistics |
|---|---|
| Personen und Körperschaften: | |
| In: | Journal of Official Statistics, 36, 2020, 2, S. 435-458 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
SAGE Publications
|
| Schlagwörter: |
| author_facet |
Żądło, Tomasz Żądło, Tomasz |
|---|---|
| author |
Żądło, Tomasz |
| spellingShingle |
Żądło, Tomasz Journal of Official Statistics On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems Statistics and Probability |
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żądło, tomasz |
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Żądło, Tomasz 2001-7367 SAGE Publications Statistics and Probability http://dx.doi.org/10.2478/jos-2020-0022 <jats:title>Abstract</jats:title> <jats:p>We consider longitudinal data and the problem of prediction of subpopulation (domain) characteristics that can be written as a linear combination of the variable of interest, including cases of small or zero sample sizes in the domain and time period of interest. We consider the empirical version of the predictor proposed by Royall (1976) showing that it is a generalization of the empirical version of the predictor presented by Henderson (1950). We propose a parametric bootstrap MSE estimator of the predictor. We prove its asymptotic unbiasedness and derive the order of its bias. Considerations are supported by Monte Carlo simulation analyses to compare its accuracy (not only the bias) with other MSE estimators, including jackknife and weighted jackknife MSE estimators that we adapt for the considered predictor.</jats:p> On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems Journal of Official Statistics |
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SAGE Publications |
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Journal of Official Statistics |
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49 |
| title |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_unstemmed |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_full |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_fullStr |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_full_unstemmed |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_short |
On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_sort |
on accuracy estimation using parametric bootstrap in small area prediction problems |
| topic |
Statistics and Probability |
| url |
http://dx.doi.org/10.2478/jos-2020-0022 |
| publishDate |
2020 |
| physical |
435-458 |
| description |
<jats:title>Abstract</jats:title>
<jats:p>We consider longitudinal data and the problem of prediction of subpopulation (domain) characteristics that can be written as a linear combination of the variable of interest, including cases of small or zero sample sizes in the domain and time period of interest. We consider the empirical version of the predictor proposed by Royall (1976) showing that it is a generalization of the empirical version of the predictor presented by Henderson (1950). We propose a parametric bootstrap MSE estimator of the predictor. We prove its asymptotic unbiasedness and derive the order of its bias. Considerations are supported by Monte Carlo simulation analyses to compare its accuracy (not only the bias) with other MSE estimators, including jackknife and weighted jackknife MSE estimators that we adapt for the considered predictor.</jats:p> |
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| author | Żądło, Tomasz |
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| container_title | Journal of Official Statistics |
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| description | <jats:title>Abstract</jats:title> <jats:p>We consider longitudinal data and the problem of prediction of subpopulation (domain) characteristics that can be written as a linear combination of the variable of interest, including cases of small or zero sample sizes in the domain and time period of interest. We consider the empirical version of the predictor proposed by Royall (1976) showing that it is a generalization of the empirical version of the predictor presented by Henderson (1950). We propose a parametric bootstrap MSE estimator of the predictor. We prove its asymptotic unbiasedness and derive the order of its bias. Considerations are supported by Monte Carlo simulation analyses to compare its accuracy (not only the bias) with other MSE estimators, including jackknife and weighted jackknife MSE estimators that we adapt for the considered predictor.</jats:p> |
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| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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| physical | 435-458 |
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| publisher | SAGE Publications |
| record_format | ai |
| recordtype | ai |
| series | Journal of Official Statistics |
| source_id | 49 |
| spelling | Żądło, Tomasz 2001-7367 SAGE Publications Statistics and Probability http://dx.doi.org/10.2478/jos-2020-0022 <jats:title>Abstract</jats:title> <jats:p>We consider longitudinal data and the problem of prediction of subpopulation (domain) characteristics that can be written as a linear combination of the variable of interest, including cases of small or zero sample sizes in the domain and time period of interest. We consider the empirical version of the predictor proposed by Royall (1976) showing that it is a generalization of the empirical version of the predictor presented by Henderson (1950). We propose a parametric bootstrap MSE estimator of the predictor. We prove its asymptotic unbiasedness and derive the order of its bias. Considerations are supported by Monte Carlo simulation analyses to compare its accuracy (not only the bias) with other MSE estimators, including jackknife and weighted jackknife MSE estimators that we adapt for the considered predictor.</jats:p> On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems Journal of Official Statistics |
| spellingShingle | Żądło, Tomasz, Journal of Official Statistics, On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems, Statistics and Probability |
| title | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_full | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_fullStr | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_full_unstemmed | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_short | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| title_sort | on accuracy estimation using parametric bootstrap in small area prediction problems |
| title_unstemmed | On Accuracy Estimation Using Parametric Bootstrap in small Area Prediction Problems |
| topic | Statistics and Probability |
| url | http://dx.doi.org/10.2478/jos-2020-0022 |