Evaluations of expected generalized order statistics in various scale units

• Autorzy: Erhard Cramer , Udo Kamps , Tomasz Rychlik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 62E15: Exact distribution theory
• 62G30: Order statistics; empirical distribution functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2002
• Tom: 29
• Numer: 3
• Strony: 285-295

Daty

wydano

2002

Twórcy

autor

Erhard Cramer

• Department of Mathematics, University of Oldenburg, 26111 Oldenburg, Germany

autor

Udo Kamps

• Department of Mathematics, University of Oldenburg, 26111 Oldenburg, Germany

autor

Tomasz Rychlik

• Institute of Mathematics, Polish Academy of Sciences, Chopina 12, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/am29-3-2