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Stochastic somparisons of order statistics from scaled and interdependent random variables

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A Publisher Correction to this article was published on 08 March 2018

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Abstract

This paper studies order statistics from random variables following the scale model. In the presence of the Archimedean copula or survival copula for the random variables, we obtain the usual stochastic order of the sample extremes and the second smallest order statistic, the dispersive order and the star order of the sample extremes.

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Change history

  • 08 March 2018

    In the original publication of the article, the article title was incorrectly published as “Stochastic somparisons of order statistics from scaled and interdependent random variables”. However, the correct title should read “Stochastic comparisons of order statistics from scaled and interdependent random variables”.

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Acknowledgments

Authors would like to thank the anonymous reviewer for his/her useful comments, which helped improve the presentation of the earlier version of this manuscript. Dr. Rui Fang’s research is supported by STU Scientific Research Foundation for Talents (NTF15002).

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, Fujian, China

    Chen Li

  2. Department of Mathematics, Shantou University, Shantou, 515063, Guangdong, China

    Rui Fang

  3. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Xiaohu Li

Authors
  1. Chen Li
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  2. Rui Fang
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  3. Xiaohu Li
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Corresponding author

Correspondence to Xiaohu Li.

Additional information

A correction to this article is available online at https://doi.org/10.1007/s00184-018-0647-2.

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Li, C., Fang, R. & Li, X. Stochastic somparisons of order statistics from scaled and interdependent random variables. Metrika 79, 553–578 (2016). https://doi.org/10.1007/s00184-015-0567-3

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  • DOI: https://doi.org/10.1007/s00184-015-0567-3

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