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Robust estimation based on spacings in weighted exponential models
Paweł Błażej 1   ; Jarosław Bartoszewicz 1
1 Mathematical Institute University of Wroc/law Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 405-411 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Using Zieli/nski's (1977, 1983) formalization of robustness B/la/zej (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.
DOI : 10.4064/am34-4-4
Keywords: using zieli nskis formalization robustness zej obtained uniformly bias robust estimates umbres scale parameter statistical models including exponential model class linear functions order statistics violations models generated weight functions paper umbre scale parameter based spacings weighted exponential models derived extensions results bartoszewicz given

Paweł Błażej  1   ; Jarosław Bartoszewicz  1

1 Mathematical Institute University of Wroc/law Pl. Grunwaldzki 2/4 50-384 Wroc/law, Poland 
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     title = {Robust estimation based on spacings in weighted exponential models},
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Paweł Błażej; Jarosław Bartoszewicz. Robust estimation based on spacings in weighted exponential models. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 405-411. doi: 10.4064/am34-4-4

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