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Stochastically extremal distributions of order statistics for dependent samples

Author

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  • Rychlik, Tomasz

Abstract

For samples of possibly dependent identically distributed random variables, stochastically smallest and largest distributions of each order statistic are constructed. Problems of existence of stochastically extremal sequences and subsequences of order statistics are also solved.

Suggested Citation

  • Rychlik, Tomasz, 1992. "Stochastically extremal distributions of order statistics for dependent samples," Statistics & Probability Letters, Elsevier, vol. 13(5), pages 337-341, April.
    • Handle: RePEc:eee:stapro:v:13:y:1992:i:5:p:337-341
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    Citations

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    Cited by:

    1. Jing Cao & Ann Moosman & Valen E. Johnson, 2010. "A Bayesian Chi-Squared Goodness-of-Fit Test for Censored Data Models," Biometrics, The International Biometric Society, vol. 66(2), pages 426-434, June.
    2. Papadatos, Nickos, 2001. "Distribution and expectation bounds on order statistics from possibly dependent variates," Statistics & Probability Letters, Elsevier, vol. 54(1), pages 21-31, August.
    3. Ying Yuan & Valen E. Johnson, 2012. "Goodness-of-Fit Diagnostics for Bayesian Hierarchical Models," Biometrics, The International Biometric Society, vol. 68(1), pages 156-164, March.
    4. Tomasz Rychlik, 2001. "Stability of Order Statistics under Dependence," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 877-894, December.
    5. Kaluszka, M. & Okolewski, A., 2001. "An extension of the Erdös-Neveu-Rényi theorem with applications to order statistics," Statistics & Probability Letters, Elsevier, vol. 55(2), pages 181-186, November.
    6. Rychlik, Tomasz, 1995. "Bounds for order statistics based on dependent variables with given nonidentical distributions," Statistics & Probability Letters, Elsevier, vol. 23(4), pages 351-358, June.

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