caa a22 4500 475793315 CHVBK 20180406123716.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/s001840000058 doi (NATIONALLICENCE)springer-10.1007/s001840000058 Sharp bounds on moments of generalized order statistics [Elektronische Daten] [Lestaw Gajek, Andrzej Okolewski] Abstract.: Sharp lower and upper bounds on expected values of generalized order statistics are proven by the use of rearranged Moriguti's inequality. The method yields improvements of known quantile and moment bounds for expectations of order and record statistics based on independent identically distributed random variables. The bounds are attainable providing new characterizations of two-point distributions. Springer-Verlag Berlin Heidelberg, 2000 Key words: Generalized order statistics nationallicence Moment bounds nationallicence Quantile bounds nationallicence Moriguti inequality nationallicence Gajek Lestaw Institute of Mathematics, Technical University of Łódź, ul. Żwirki 36, 90-924 Łódź, Poland, PL aut Okolewski Andrzej Institute of Mathematics, Technical University of Łódź, ul. Żwirki 36, 90-924 Łódź, Poland, PL aut https://doi.org/10.1007/s001840000058 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000058 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gajek Lestaw Institute of Mathematics, Technical University of Łódź, ul. Żwirki 36, 90-924 Łódź, Poland, PL aut NATIONALLICENCE 700 1- Okolewski Andrzej Institute of Mathematics, Technical University of Łódź, ul. Żwirki 36, 90-924 Łódź, Poland, PL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer