On testing the dilation order and HNBUE alternatives

On testing the dilation order and HNBUE alternatives

In this paper we develop a new family of tests for the dilation order based in a characterization of the dilation order. This family of tests statistics can be used for testing the exponentiality against HNBUE(HNWUE ) alternatives. Asymptotic distributional results are given for both families of tes...

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Veröffentlicht in:Annals of the Institute of Statistical Mathematics 2005-12, Vol.57 (4), p.803-815
Hauptverfasser: Belzunce, F, Pinar, J F, Ruiz, J M
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic methods
Mathematical models
Mathematics
Statistical tests
Statistics
Studies
Theory
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Zusammenfassung:In this paper we develop a new family of tests for the dilation order based in a characterization of the dilation order. This family of tests statistics can be used for testing the exponentiality against HNBUE(HNWUE ) alternatives. Asymptotic distributional results are given for both families of tests. For the HNBUE(HNWUE ) we also derive the exact distribution under the null hypothesis. [PUBLICATION ABSTRACT]
ISSN:0020-3157
1572-9052
DOI:10.1007/BF02915440