Some Aspects of the Estimation of Quantiles

Some Aspects of the Estimation of Quantiles

The problem of estimating quantiles in the context where restriction to particular parametric families is inappropriate is considered, for simple random sampling and stratified sampling. For the former type of sampling the distribution-free procedures are obtained and the admissible estimators ident...

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Veröffentlicht in:Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1966-01, Vol.28 (3), p.497-512
1. Verfasser: Loynes, R. M.
Format: Artikel
Sprache:eng
Schlagworte:
Analytical estimating
Distribution functions
Estimation methods
Estimators
Increasing functions
Integers
Polynomials
Random sampling
Sampling distributions
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Zusammenfassung:The problem of estimating quantiles in the context where restriction to particular parametric families is inappropriate is considered, for simple random sampling and stratified sampling. For the former type of sampling the distribution-free procedures are obtained and the admissible estimators identified, and certain other questions are dealt with. In the stratified sampling situation similar problems are considered, less successfully.
ISSN:0035-9246
1369-7412
2517-6161
1467-9868
DOI:10.1111/j.2517-6161.1966.tb00662.x