Geodesic
Evaluations of expected generalized order statistics in various scale units
Erhard Cramer 1   ; Udo Kamps 1   ; Tomasz Rychlik 2
1 Department of Mathematics University of Oldenburg 26111 Oldenburg, Germany
2 Institute of Mathematics Polish Academy of Sciences Chopina 12 87-100 Toruń, Poland
Applicationes Mathematicae, Tome 29 (2002) no. 3, pp. 285-295 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present sharp upper bounds for the deviations of expected generalized order statistics from the population mean in various scale units generated by central absolute moments. No restrictions are imposed on the parameters of the generalized order statistics model. The results are derived by combining the unimodality property of the uniform generalized order statistics with the Moriguti and Hölder inequalities. They generalize evaluations for specific models of ordered observations.
DOI : 10.4064/am29-3-2
Keywords: present sharp upper bounds deviations expected generalized order statistics population mean various scale units generated central absolute moments restrictions imposed parameters generalized order statistics model results derived combining unimodality property uniform generalized order statistics moriguti lder inequalities generalize evaluations specific models ordered observations

Erhard Cramer  1   ; Udo Kamps  1   ; Tomasz Rychlik  2

1 Department of Mathematics University of Oldenburg 26111 Oldenburg, Germany
2 Institute of Mathematics Polish Academy of Sciences Chopina 12 87-100 Toruń, Poland 
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Erhard Cramer; Udo Kamps; Tomasz Rychlik. Evaluations of expected generalized order
  statistics in various scale units. Applicationes Mathematicae, Tome 29 (2002) no. 3, pp. 285-295. doi: 10.4064/am29-3-2

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