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Variation diminishing property of densities of uniform generalized order statistics

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  • Mariusz Bieniek

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  • Mariusz Bieniek, 2007. "Variation diminishing property of densities of uniform generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(3), pages 297-309, May.
    • Handle: RePEc:spr:metrik:v:65:y:2007:i:3:p:297-309
    DOI: 10.1007/s00184-006-0077-4
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    References listed on IDEAS

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    1. Gajek, Leslaw & Rychlik, Tomasz, 1998. "Projection Method for Moment Bounds on Order Statistics from Restricted Families, : II. Independent Case," Journal of Multivariate Analysis, Elsevier, vol. 64(2), pages 156-182, February.
    2. Erhard Cramer & Udo Kamps & Tomasz Rychlik, 2004. "Unimodality of uniform generalized order statistics, with applications to mean bounds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 183-192, March.
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    Cited by:

    1. Marco Burkschat & Tomasz Rychlik, 2018. "Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 618-638, September.
    2. Mariusz Bieniek & Marco Burkschat & Tomasz Rychlik, 2020. "Comparisons of the Expectations of System and Component Lifetimes in the Failure Dependent Proportional Hazard Model," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 173-189, March.
    3. Mariusz Bieniek & Luiza Pańczyk, 2023. "On the choice of the optimal single order statistic in quantile estimation," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(2), pages 303-333, April.

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