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  • 1 Rider University Department of Management Sciences Lawrenceville NJ 08648 USA
  • 2 Marquette University Department of Mathematics, Statistics and Computer Science Milwaukee WI 53201-1881 USA
  • 3 Politechnika Warszawska Wydzial Matematyki i Nauk Informacyjnych Warszawa Poland
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López-Blázquez and Weso lowski [6] introduced the top-k-lists sequence of random vectors and elaborated the usefulness of such data. They also developed the distribution of top-k-lists and their properties arising from various probability distributions, such as standard exponential distribution and uniform distribution on (0, 1). In this paper, we study the linearity of regressions inside top-k-lists and then based on this study we present characterizations of certain distributions.

  • Ahsanullah, M. Record Values — Theory and Applications, University Press of America, Lanham, Maryland, 2004.

    Ahsanullah M. , '', in Record Values — Theory and Applications , (2004 ) -.

  • Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N., Records, Wiley, New York, 1998.

    Nagaraja H. N. , '', in Records , (1998 ) -.

  • Bieniek, M. and Szynal, D., Characterizations of distributions via linearity of regression of generalized order statistics. Metrika, 58 (2007), 259–271.

    Szynal D. , 'Characterizations of distributions via linearity of regression of generalized order statistics ' (2007 ) 58 Metrika : 259 -271.

    • Search Google Scholar
  • David, H. A. and Nagaraja, H. N., Order Statistics, Wiley, New York, 2003.

    Nagaraja H. N. , '', in Order Statistics , (2003 ) -.

  • Dembińska, A. and Wesołowski, J., Linearity of regression for non-adjacent order statistics, Metrika, 48 (1998), 215–222.

    Wesołowski J. , 'Linearity of regression for non-adjacent order statistics ' (1998 ) 48 Metrika : 215 -222.

    • Search Google Scholar
  • López-Blázquez, F. and Wesołowski, J., Top-k-lists, Metrika, 65 (2007), 69–82.

    Wesołowski J. , 'Top-k-lists ' (2007 ) 65 Metrika : 69 -82.