Artikel
A calibrated synthetic estimator for small area estimation
Synthetic estimators are known to produce estimates of population mean in areas where no sampled data are available, but such estimates are usually highly biased with invalid confidence statements. This paper presents a calibrated synthetic estimator of the population mean which addresses these problematic issues. Two known special cases of this estimator were obtained in the form of combined ratio and combined regression synthetic estimators, using selected tuning parameters under stratified sampling. In result, their biases and variance estimators were derived. The empirical demonstration of the usage involving the proposed calibrated estimators shows that they provide better estimates of the population mean than the existing estimators discussed in this study. In particular, the estimators were examined through simulation under three distributional assumptions, namely the normal, gamma and exponential distributions. The results show that they provide estimates of the mean displaying less relative bias and greater efficiency. Moreover, they prove more consistent than the existing classical synthetic estimator. The further evaluation carried out using the coefficient of variation provides additional confirmation of the calibrated estimator's advantage over the existing ones in relation to small area estimation.
- Language
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Englisch
- Bibliographic citation
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Journal: Statistics in Transition New Series ; ISSN: 2450-0291 ; Volume: 22 ; Year: 2021 ; Issue: 3 ; Pages: 15-30 ; New York: Exeley
- Subject
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auxiliary variable
calibration estimation
simulation
synthetic estimation
- Event
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Geistige Schöpfung
- (who)
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Iseh, Matthew Joshua
Enang, Ekaette Inyang
- Event
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Veröffentlichung
- (who)
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Exeley
- (where)
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New York
- (when)
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2021
- DOI
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doi:10.21307/stattrans-2021-025
- Handle
- Last update
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10.03.2025, 11:43 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Iseh, Matthew Joshua
- Enang, Ekaette Inyang
- Exeley
Time of origin
- 2021
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Horvitz-Thompson estimator based on the auxiliary variable
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ON ASYMMETRY OF PREDICTION ERRORS IN SMALL AREA ESTIMATION
SMALL AREA ESTIMATION FOR SKEWED DATA IN THE PRESENCE OF ZEROES
Estimation of the number of residents included in a population frame
ESTIMATION OF MEAN ON THE BASIS OF CONDITIONAL SIMPLE RANDOM SAMPLE
INFERENTIAL ISSUES IN MODEL-BASED SMALL AREA ESTIMATION: SOME NEW DEVELOPMENTS
A NEW MEDIAN BASED RATIO ESTIMATOR FOR ESTIMATION OF THE FINITE POPULATION MEAN
EFFICIENT TWO-PARAMETER ESTIMATOR IN LINEAR REGRESSION MODEL
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REMARKS ON THE ESTIMATION OF POSITION PARAMETERS
DEVELOPMENT OF SMALLAREA ESTIMATION IN OFFICIAL STATISTICS
Horvitz-Thompson estimator based on the auxiliary variable
Small area estimation: its evolution in five decades
ON ASYMMETRY OF PREDICTION ERRORS IN SMALL AREA ESTIMATION
SMALL AREA ESTIMATION FOR SKEWED DATA IN THE PRESENCE OF ZEROES
Estimation of the number of residents included in a population frame
ESTIMATION OF MEAN ON THE BASIS OF CONDITIONAL SIMPLE RANDOM SAMPLE