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Unimodality of uniform generalized order statistics, with applications to mean bounds

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  • Erhard Cramer
  • Udo Kamps
  • Tomasz Rychlik

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  • 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.
    • Handle: RePEc:spr:aistmt:v:56:y:2004:i:1:p:183-192
    DOI: 10.1007/BF02530531
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    References listed on IDEAS

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    1. Nickos Papadatos, 1997. "Exact Bounds for the Expectations of Order Statistics from Non-Negative Populations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(4), pages 727-736, December.
    2. Balakrishnan, N. & Cramer, E. & Kamps, U., 2001. "Bounds for means and variances of progressive type II censored order statistics," Statistics & Probability Letters, Elsevier, vol. 54(3), pages 301-315, October.
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    Citations

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    Cited by:

    1. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein, 2011. "Some new results on unimodality of generalized order statistics and their spacings," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1677-1682, November.
    2. Udo Kamps & Erhard Cramer, 2007. "Comments on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 271-275, August.
    3. N. Balakrishnan, 2007. "Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 211-259, August.
    4. Mariusz Bieniek & Agnieszka Goroncy, 2020. "Sharp lower bounds on expectations of gOS based on DGFR distributions," Statistical Papers, Springer, vol. 61(3), pages 1027-1042, June.
    5. Vuong, Q.N. & Bedbur, S. & Kamps, U., 2013. "Distances between models of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 24-36.
    6. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein & Cramer, Erhard, 2015. "Discrete strong unimodality of order statistics," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 176-185.
    7. N. Balakrishnan & T. Rychlik, 2006. "Evaluating expectations of L-statistics by the Steffensen inequality," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 63(3), pages 371-384, June.
    8. Tomasz Rychlik, 2010. "Evaluations of generalized order statistics from bounded populations," Statistical Papers, Springer, vol. 51(1), pages 165-177, January.
    9. Mahdi Alimohammadi & Mohammad Hossein Alamatsaz & Erhard Cramer, 2016. "Convolutions and generalization of logconcavity: Implications and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 109-123, March.
    10. 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.
    11. Maryam Esna-Ashari & Mahdi Alimohammadi & Elnaz Garousi & Antonio Di Crescenzo, 2024. "Some New Results on Stochastic Comparisons of Spacings of Generalized Order Statistics from One and Two Samples," Mathematics, MDPI, vol. 12(10), pages 1-19, May.
    12. 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.
    13. Maryam Esna-Ashari & Narayanaswamy Balakrishnan & Mahdi Alimohammadi, 2023. "HR and RHR orderings of generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 131-148, January.

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