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Stochastic order relations and the total time on test transform

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  • Bartoszewicz, Jaroslaw

Abstract

The paper deals with the preservation of some stochastic order relations by the total time on test transform. The result of Neath and Samaniego (1992) concerning the TTT transform of an IFRA distribution is generalized.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 1995. "Stochastic order relations and the total time on test transform," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 103-110, February.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:2:p:103-110
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    References listed on IDEAS

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    1. Bartoszewicz, Jaroslaw, 1986. "Dispersive ordering and the total time on test transformation," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 285-288, October.
    2. Neath, Andrew A. & Samaniego, Francisco J., 1992. "On the total time on test transform of an IFRA distribution," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 289-291, July.
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    Cited by:

    1. Bartoszewicz, Jaroslaw, 1998. "Applications of a general composition theorem to the star order of distributions," Statistics & Probability Letters, Elsevier, vol. 38(1), pages 1-9, May.
    2. Fernández-Ponce, J.M. & Rodríguez-Griñolo, R., 2006. "Preserving multivariate dispersion: An application to the Wishart distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1208-1220, May.
    3. 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.
    4. Fernández-Ponce, J.M. & Pellerey, F. & Rodríguez-Griñolo, M.R., 2011. "A characterization of the multivariate excess wealth ordering," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 410-417.

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