López-Blázquez and Weso lowski  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) -.
Ahsanullah M.Record Values — Theory and Applications2004)| false
Arnold, B. C., Balakrishnan, N. and Nagaraja, H. N., Records, Wiley, New York, 1998.
Nagaraja H. N., '', in Records, (1998) -.
Nagaraja H. N.Records1998)| false
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) 58Metrika: 259-271.
Szynal D.Characterizations of distributions via linearity of regression of generalized order statisticsMetrika200758259271)| false