The Annals of Statistics

Descriptive Statistics for Nonparametric Models I. Introduction

P. J. Bickel and E. L. Lehmann

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Abstract

An overview is given of an approach to the definition of descriptive characteristics of populations and to their estimation. The emphasis is on the robustness and efficiency of the estimators. Detailed summaries will be found in successive papers of the series dealing with the problems of location, scale and kurtosis.

Article information

Source
Ann. Statist., Volume 3, Number 5 (1975), 1038-1044.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176343239

Digital Object Identifier
doi:10.1214/aos/1176343239

Mathematical Reviews number (MathSciNet)
MR395020

Zentralblatt MATH identifier
0321.62054

JSTOR
links.jstor.org

Subjects
Primary: 62G99: None of the above, but in this section
Secondary: 62G05: Estimation 62G20: Asymptotic properties 62G35: Robustness

Keywords
Descriptive statistics nonparametric models robustness estimation asymptotic efficiency standardized variance location scale kurtosis

Citation

Bickel, P. J.; Lehmann, E. L. Descriptive Statistics for Nonparametric Models I. Introduction. Ann. Statist. 3 (1975), no. 5, 1038--1044. doi:10.1214/aos/1176343239. https://projecteuclid.org/euclid.aos/1176343239


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See also

  • Part II: P. J. Bickel, E. L. Lehmann. Descriptive Statistics for Nonparametric Models II. Location. Ann. Statist., Volume 3, Number 5 (1975), 1045--1069.
  • Part III: P. J. Bickel, E. L. Lehmann. Descriptive Statistics for Nonparametric Models. III. Dispersion. Ann. Statist., Volume 4, Number 6 (1976), 1139--1158.