Estimating median and other quantiles in nonparametric models
Applicationes Mathematicae (1995)
- Volume: 23, Issue: 3, page 363-370
- ISSN: 1233-7234
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Abstract
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topZieliński, Ryszard. "Estimating median and other quantiles in nonparametric models." Applicationes Mathematicae 23.3 (1995): 363-370. <http://eudml.org/doc/219138>.
@article{Zieliński1995,
abstract = {Though widely accepted, in nonparametric models admitting asymmetric distributions the sample median, if n=2k, may be a poor estimator of the population median. Shortcomings of estimators which are not equivariant are presented.},
author = {Zieliński, Ryszard},
journal = {Applicationes Mathematicae},
keywords = {estimation; quantiles; median; sample median; population median},
language = {eng},
number = {3},
pages = {363-370},
title = {Estimating median and other quantiles in nonparametric models},
url = {http://eudml.org/doc/219138},
volume = {23},
year = {1995},
}
TY - JOUR
AU - Zieliński, Ryszard
TI - Estimating median and other quantiles in nonparametric models
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 3
SP - 363
EP - 370
AB - Though widely accepted, in nonparametric models admitting asymmetric distributions the sample median, if n=2k, may be a poor estimator of the population median. Shortcomings of estimators which are not equivariant are presented.
LA - eng
KW - estimation; quantiles; median; sample median; population median
UR - http://eudml.org/doc/219138
ER -
References
top- P. J. Bickel and K. A. Doksum (1977), Mathematical Statistics. Basic Ideas and Selected Topics, Holden-Day. Zbl0403.62001
- B. M. Brown (1985), Median estimates and sign tests, in: Encyclopedia of Statistical Sciences, Vol. 5, Wiley.
- C. E. Davis and S. M. Steinberg (1985), Quantile estimation, in: Encyclopedia of Statistical Sciences, Vol. 7, Wiley.
- S. T. Gross (1985), Median estimation, inverse, in: Encyclopedia of Statistical Sciences, Vol. 5, Wiley.
- F. E. Harrell and C. E. Davis (1982), A new distribution-free quantile estimator, Biometrika 69, 635-640. Zbl0493.62038
- W. D. Kaigh and P. A. Lachenbruch (1982), A generalized quantile estimator, Comm. Statist. Theory Methods 11, 2217-2238. Zbl0499.62034
- E. L. Lehmann (1983), Theory of Point Estimation, Wiley. Zbl0522.62020
- W. Uhlmann (1963), Ranggrössen als Schätzfunktionen, Metrika 7 (1), 23-40. Zbl0243.62021
- R. Zieliński (1988), A distribution-free median-unbiased quantile estimator, Statistics 19 (2), 223-227. Zbl0643.62022
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