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Dispersive ordering and the total time on test transformation

Author

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  • Bartoszewicz, Jaroslaw

Abstract

The paper presents some connections between the dispersive ordering and the total time on test transformation, which has been used by Barlow and Doksum (1972) for convex orderings testing. The application to testing for goodness of fit is given.

Suggested Citation

  • Bartoszewicz, Jaroslaw, 1986. "Dispersive ordering and the total time on test transformation," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 285-288, October.
    • Handle: RePEc:eee:stapro:v:4:y:1986:i:6:p:285-288
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    Citations

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    Cited by:

    1. Bartoszewicz, Jaroslaw, 1995. "Bahadur and Hodges-Lehmann approximate efficiencies of tests based on spacings," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 211-220, May.
    2. 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.
    3. Jongwoo Jeon & Subhash Kochar & Chul Park, 2006. "Dispersive ordering—Some applications and examples," Statistical Papers, Springer, vol. 47(2), pages 227-247, March.
    4. Khaledi, Baha-Eldin & Kochar, Subhash, 2000. "On dispersive ordering between order statistics in one-sample and two-sample problems," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 257-261, February.
    5. Justin Jia & Ronald M. Harstad & Michael H. Rothkopf, 2010. "Information Variability Impacts in Auctions," Decision Analysis, INFORMS, vol. 7(1), pages 137-142, March.
    6. Alimohammadi, Mahdi & Esna-Ashari, Maryam & Cramer, Erhard, 2021. "On dispersive and star orderings of random variables and order statistics," Statistics & Probability Letters, Elsevier, vol. 170(C).
    7. Sangita Das & Suchandan Kayal, 2020. "Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(8), pages 869-893, November.
    8. Kochar, Subhash C., 1999. "On stochastic orderings between distributions and their sample spacings," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 345-352, May.
    9. Minbo Xu & Daniel Z. Li, 2019. "Equilibrium competition, social welfare and corruption in procurement auctions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 443-465, October.
    10. Said, Maher, 2011. "Sequential auctions with randomly arriving buyers," Games and Economic Behavior, Elsevier, vol. 73(1), pages 236-243, September.
    11. López-Díaz, Miguel, 2010. "Some remarks on Lp dispersion orderings," Statistics & Probability Letters, Elsevier, vol. 80(5-6), pages 413-420, March.
    12. Nappo, G. & Spizzichino, F., 1998. "Ordering properties of the TTT-plot of lifetimes with Schur joint densities," Statistics & Probability Letters, Elsevier, vol. 39(3), pages 195-203, August.
    13. 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.
    14. Bartoszewicz, Jaroslaw, 1995. "Stochastic order relations and the total time on test transform," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 103-110, February.

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