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On a characterization of right spread order by the increasing convex order

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  • Belzunce, F.

Abstract

The purpose of this paper is to give a characterization of a new variability order called the right spread order. This characterization is given in terms of the increasing convex order. Also we provide a characterization of DMRL [IMRL] class based on right spread order of residual lives. Some interpretations and applications are given in the last section.

Suggested Citation

  • Belzunce, F., 1999. "On a characterization of right spread order by the increasing convex order," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 103-110, November.
    • Handle: RePEc:eee:stapro:v:45:y:1999:i:2:p:103-110
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    References listed on IDEAS

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    1. Belzunce, F. & Candel, J. & Ruiz, J. M., 1996. "Dispersive orderings and characterization of ageing classes," Statistics & Probability Letters, Elsevier, vol. 28(4), pages 321-327, August.
    2. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, vol. 35(1), pages 60-70, January.
    3. Kochar, Subhash C. & Carrière, K. C., 1997. "Connections among various variability orderings," Statistics & Probability Letters, Elsevier, vol. 35(4), pages 327-333, November.
    4. Belzunce, F. & Pellerey, Franco & Ruiz, J. M. & Shaked, Moshe, 1997. "The dilation order, the dispersion order, and orderings of residual lives," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 263-275, May.
    5. Muñoz-Perez, J., 1990. "Dispersive ordering by the spread function," Statistics & Probability Letters, Elsevier, vol. 10(5), pages 407-410, October.
    6. Pellerey, Franco & Shaked, Moshe, 1997. "Characterizations of the IFR and DFR aging notions by means of the dispersive order," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 389-393, May.
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    Cited by:

    1. Li, Xiaohu & Shaked, Moshe, 2004. "The observed total time on test and the observed excess wealth," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 247-258, July.
    2. Hu, Taizhong & Chen, Jing & Yao, Junchao, 2006. "Preservation of the location independent risk order under convolution," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 406-412, April.
    3. Belzunce, F. & Pinar, J. F. & Ruiz, J. M., 2001. "A family of tests for right spread order," Statistics & Probability Letters, Elsevier, vol. 54(1), pages 79-92, August.
    4. Sordo, Miguel A., 2009. "On the relationship of location-independent riskier order to the usual stochastic order," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 155-157, January.
    5. Ortega-Jiménez, P. & Sordo, M.A. & Suárez-Llorens, A., 2021. "Stochastic orders and multivariate measures of risk contagion," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 199-207.
    6. Félix Belzunce & Carolina Martínez-Riquelme & José Ruiz, 2014. "A characterization and sufficient conditions for the total time on test transform order," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 72-85, March.

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