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Continuum structures. II

Published online by Cambridge University Press:  24 October 2008

Laurence A. Baxter
Laurence A. Baxter
Affiliation:
Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, Stony Brook, NY 11794, U.S.A.
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Abstract

A continuum structure function is a nondecreasing mapping from the unit hypercube to the unit interval. This paper continues the author's work on the subject, extending Griffith's definitions of coherency to such functions and studying the analytic properties of a continuum structure function based on Natvig's ‘second suggestion’.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 2 , March 1986 , pp. 331 - 338
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Barlow, R. E. and Proschan, F.. Statistical Theory of Reliability and Life Testing. (Holt, Rinehart and Winston, 1975).Google Scholar
[2]Barlow, R. E. and Wu, A. S.. Coherent systems with multi-state components. Math. Oper. Res. 3 (1978), 275–281.CrossRefGoogle Scholar
[3]Baxter, L. A.. Continuum structures I. J. Appl. Probab. 21 (1984), 802–815.CrossRefGoogle Scholar
[4]Block, H. W. and Savits, T. H.. A decomposition for multistate monotone systems. J. Appl. Probab. 19 (1982), 391–402.CrossRefGoogle Scholar
[5]Block, H. W. and Savits, T. H.. Continuous multistate structure functions. Oper. Res. 32 (1984), 703–714Google Scholar
[6]El-Neweihi, E., Proschan, F. and Sethuraman, J.. Multistate coherent systems. J. Appl. Probab. 15 (1978), 675–688.CrossRefGoogle Scholar
[7]Griffith, W. S.. Multistate reliability models. J. Appl. Probab. 17 (1980), 735–744.CrossRefGoogle Scholar
[8]Natvig, B.. Two suggestions of how to define a multistate coherent system. Adv. in Appl. Probab. 14 (1982), 434–455.CrossRefGoogle Scholar
[9]Royden, H. L.. Real Analysis, second edition (MacMillan, 1968).Google Scholar