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Some results for the comparison of generalized order statistics in the total time on test and excess wealth orders

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Abstract

This paper is devoted to the study of the comparison of generalized order statistics in terms of the total time on test transform and the excess wealth orders. We provide some extensions of previous results in the literature for usual order statistics and generalized order statistics. These results involve results for the minimum of a random vector of generalized order statistics.

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Acknowledgments

The authors acknowledge support received from the Ministerio de Economía y Competitividad under Grant MTM2012-34023-FEDER. Carolina Martínez-Riquelme acknowledges support received from the Ministerio de Ciencia e Innovación under grant BES2010-036561.

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Authors and Affiliations

  1. Dpto. Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Murcia, Campus de Espinard, 30100, Espinardo, Murcia, Spain

    Félix Belzunce & Carolina Martínez-Riquelme

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  1. Félix Belzunce
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  2. Carolina Martínez-Riquelme
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Correspondence to Félix Belzunce.

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Belzunce, F., Martínez-Riquelme, C. Some results for the comparison of generalized order statistics in the total time on test and excess wealth orders. Stat Papers 56, 1175–1190 (2015). https://doi.org/10.1007/s00362-014-0631-5

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  • DOI: https://doi.org/10.1007/s00362-014-0631-5

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