Extensions of Calibration Estimators in Survey Sampling
作者:
Alain Théberge,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1999)
卷期:
Volume 94,
issue 446
页码: 635-644
ISSN:0162-1459
年代: 1999
DOI:10.1080/01621459.1999.10474157
出版商: Taylor & Francis Group
关键词: Domain estimation;Moore–Penrose inverse;Synthetic estimation;Variance estimation
数据来源: Taylor
摘要:
Estimators from the family of calibration estimators are often used when auxiliary information about a population is available. By viewing calibration as an algebraic problem, this article extends the calibration technique to estimate population parameters other than totals and means, and also extends the technique to the case where there is no solution to the calibration equation. These extensions permit the development of estimators for small domains that have a synthetic component and yet good asymptotic properties. A new method to compute a calibration estimator that uses an arbitrary distance measure is developed. This method points to a new path for the investigation of the properties of the estimator. It is shown how through the Kronecker product the calibration method can be used to estimate variances and domain totals. Monte Carlo studies show that important improvements in the precision of variance estimators are possible with use of the calibration method. Necessary and sufficient conditions for the existence of weights that satisfy the calibration equation are also given.
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