Robust estimation based on spacings in weighted exponential models

Paweł Błażej; Jarosław Bartoszewicz

Applicationes Mathematicae (2007)

  • Volume: 34, Issue: 4, page 405-411
  • ISSN: 1233-7234

Abstract

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Using Zieliński's (1977, 1983) formalization of robustness Błażej (2007) obtained uniformly most bias-robust estimates (UMBREs) of the scale parameter for some statistical models (including the exponential model), in a class of linear functions of order statistics, when violations of the models are generated by weight functions. In this paper the UMBRE of the scale parameter, based on spacings, in two weighted exponential models is derived. Extensions of results of Bartoszewicz (1986, 1987) are given.

How to cite

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Paweł Błażej, and Jarosław Bartoszewicz. "Robust estimation based on spacings in weighted exponential models." Applicationes Mathematicae 34.4 (2007): 405-411. <http://eudml.org/doc/279957>.

@article{PawełBłażej2007,
abstract = {Using Zieliński's (1977, 1983) formalization of robustness Błażej (2007) obtained uniformly most bias-robust estimates (UMBREs) of the scale parameter for some statistical models (including the exponential model), in a class of linear functions of order statistics, when violations of the models are generated by weight functions. In this paper the UMBRE of the scale parameter, based on spacings, in two weighted exponential models is derived. Extensions of results of Bartoszewicz (1986, 1987) are given.},
author = {Paweł Błażej, Jarosław Bartoszewicz},
journal = {Applicationes Mathematicae},
keywords = {partial orders; weighted distributions; bias},
language = {eng},
number = {4},
pages = {405-411},
title = {Robust estimation based on spacings in weighted exponential models},
url = {http://eudml.org/doc/279957},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Paweł Błażej
AU - Jarosław Bartoszewicz
TI - Robust estimation based on spacings in weighted exponential models
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 4
SP - 405
EP - 411
AB - Using Zieliński's (1977, 1983) formalization of robustness Błażej (2007) obtained uniformly most bias-robust estimates (UMBREs) of the scale parameter for some statistical models (including the exponential model), in a class of linear functions of order statistics, when violations of the models are generated by weight functions. In this paper the UMBRE of the scale parameter, based on spacings, in two weighted exponential models is derived. Extensions of results of Bartoszewicz (1986, 1987) are given.
LA - eng
KW - partial orders; weighted distributions; bias
UR - http://eudml.org/doc/279957
ER -

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