caa a22 4500 386350507 CHVBK 20180307111827.0 cr unu---uuuuu 161130e198910 xx s 000 0 eng 10.1017/S026996480000139X doi S026996480000139X pii (NATIONALLICENCE)cambridge-10.1017/S026996480000139X Schur Structure Functions [Elektronische Daten] We define two new classes of multistate coherent systems by requiring, among other conditions, that their structure functions be Schur-concave (Schurconvex). The M + 1 performance levels of both the systems and their components are represented by the set [0, 1, , M]. We present basic structural properties of the new classes. In particular, we study in some detail the number and form of the critical upper (lower) vectors to the various performance levels. We also present some probabilistic aspects of the new classes. Copyright © Cambridge University Press 1989 Abouammah A. M. Department of Statistics King Saud University Riyadh, 11451, Saudi Arabia El-Neweihi E. Department of Statistics King Saud University Riyadh, 11451, Saudi Arabia and Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago Chicago, Illinois 60680 Proschan F. Department of Statistics The Florida State University Tallahassee, Florida 32306 Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 581-591 0269-9648 3:4<581 1989 3 PES https://doi.org/10.1017/S026996480000139X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S026996480000139X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abouammah A. M. Department of Statistics King Saud University Riyadh, 11451, Saudi Arabia NATIONALLICENCE 700 1- El-Neweihi E. Department of Statistics King Saud University Riyadh, 11451, Saudi Arabia and Department of Mathematics, Statistics, and Computer Science University of Illinois at Chicago Chicago, Illinois 60680 NATIONALLICENCE 700 1- Proschan F. Department of Statistics The Florida State University Tallahassee, Florida 32306 NATIONALLICENCE 773 0- Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 581-591 0269-9648 3:4<581 1989 3 PES CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge