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In [[mathematics]], a '''continuum structure function (CSF)''' is defined by [[Laurence Baxter]] as a nondecreasing [[map (mathematics)|map]]ping from the unit [[hypercube]] to the unit [[interval (mathematics)|interval]]. It is used by Baxter to help in the [[Mathematical model]]ling of the level of performance of a system in terms of the performance levels of its components.<ref>Baxter, L A (1984) Continuum structures I., ''Journal of Applied Probability'', 21 (4), pp. 802–815 {{ |
In [[mathematics]], a '''continuum structure function (CSF)''' is defined by [[Laurence Baxter]] as a nondecreasing [[map (mathematics)|map]]ping from the unit [[hypercube]] to the unit [[interval (mathematics)|interval]]. It is used by Baxter to help in the [[Mathematical model]]ling of the level of performance of a system in terms of the performance levels of its components.<ref>Baxter, L A (1984) Continuum structures I., ''Journal of Applied Probability'', 21 (4), pp. 802–815 {{JSTOR|3213697}}</ref><ref>Baxter, L A, (1986), Continuum structures. II, ''Math. Proc. Camb. Phil. Soc''.99, 331 331</ref><ref>Kim, Chul; Baxter, Laurence A.(1987) Reliability importance for continuum structure functions. ''Journal of Applied Probability'', 24, 779–785 {{JSTOR|3214108}}</ref> |
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==References== |
==References== |
Revision as of 23:11, 6 February 2023
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In mathematics, a continuum structure function (CSF) is defined by Laurence Baxter as a nondecreasing mapping from the unit hypercube to the unit interval. It is used by Baxter to help in the Mathematical modelling of the level of performance of a system in terms of the performance levels of its components.[1][2][3]
References
- ^ Baxter, L A (1984) Continuum structures I., Journal of Applied Probability, 21 (4), pp. 802–815 JSTOR 3213697
- ^ Baxter, L A, (1986), Continuum structures. II, Math. Proc. Camb. Phil. Soc.99, 331 331
- ^ Kim, Chul; Baxter, Laurence A.(1987) Reliability importance for continuum structure functions. Journal of Applied Probability, 24, 779–785 JSTOR 3214108
- Kim, C., Baxter. L. A. (1987) "Axiomatic characterizations of continuum structure functions", Operations Research Letters, 6 (6), 297–300, doi:10.1016/0167-6377(87)90047-2.
- Baxter, L. A.; Lee, S. M. (2009). "Further Properties of Reliability Importance for Continuum Structure Functions". Probability in the Engineering and Informational Sciences. 3 (2): 237. doi:10.1017/S026996480000111X. S2CID 122033755.