Hostname: page-component-7bb8b95d7b-pwrkn Total loading time: 0 Render date: 2024-09-12T18:08:13.654Z Has data issue: false hasContentIssue false
  • English
  • Français

How to compare two systems

Published online by Cambridge University Press:  14 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
*
∗ Postal address: Department of Statistics and Statistical Consulting Center, Northern Illinois University, De Kalb, IL 60115, USA.
Get access Rights & Permissions [Opens in a new window]

Abstract

Consider two systems with identical components but different structure functions. In this paper we propose a method to compare these two systems when the marginal behaviors of components are specified but when the complete joint behavior of components is unspecified. We also give two useful theorems for applying our method. We apply our techniques to two examples.

Keywords

STRUCTURE FUNCTIONSIMPLEX METHODMULTISTATE SYSTEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 4 , December 1991 , pp. 940 - 946
Copyright
Copyright © Applied Probability Trust 1991 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abouammoh, A. M. and Al-Kadi, M. A. (1990) Component relevancy in multistate reliability models. Technical report, King Saud University.Google Scholar
Barlow, R. E. and Wu, A. S. (1978) Coherent systems with multistate components. Math. Operat. Res. 3, 275–281.10.1287/moor.3.4.275Google Scholar
Bazaraa, M. and Shetty, C. M. (1978) Nonlinear Programming. Wiley, New York.Google Scholar
Cambanis, S., Simons, G. and Stout, W. (1976) Inequalities for Ek[X, Y] when the marginals are fixed. Z. Wahrscheinlichkeitsth. 36, 285–294.10.1007/BF00532695Google Scholar
Ebrahimi, N. (1984) Multi-state reliability models. Naval Res. Log. Quart. 31, 671–680.10.1002/nav.3800310415Google Scholar
El-Neweihi, E., Proschan, F. and Sethuraman, J. (1978) Multi-state coherent systems. J. Appl. Prob. 15, 675–688.10.2307/3213425Google Scholar
Griffith, W. S. (1980) Multistate reliability models. J. Appl. Prob. 17, 745–774.10.2307/3212967Google Scholar
Natvig, B. (1982) Two suggestions of how to define a multistate coherent system. Adv. Appl. Prob. 14, 434–455.10.2307/1426529Google Scholar
Natvig, B. and Streller, A. (1984) The steady-state behaviour of multistate monotone systems. J. Appl. Prob. 21, 825–835.10.2307/3213699Google Scholar
Rachev, S. T. (1985) The Monge-Kantrorovich mass transference problem and its stochastic applications. Theory Prob. Appl. 29, 647–671.10.1137/1129093Google Scholar
Ross, S. (1979) Multivalued state component systems. Ann. Prob. 7, 379–383.10.1214/aop/1176995096Google Scholar
Tchen, A. H. (1980) Inequalities for distributions with given marginals. Ann. Prob. 8, 814–827.10.1214/aop/1176994668Google Scholar
Wasserman, L., Lavine, M. and Wolper, R. L. (1990) Baysian inference with specified prior marginals. Technical report, Department of Statistics, Carnegie-Mellon University.Google Scholar