Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations: Algorithms for Computing Statistics under Interval Uncertainty, and Their Computational Complexity-Reference-Cited by-同舟云学术

Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations: Algorithms for Computing Statistics under Interval Uncertainty, and Their Computational Complexity

Published:2006-10-25 Issue:6 Volume:12 Page:471-501
ISSN:1385-3139
Container-title:Reliable Computing
language:en
Short-container-title:Reliable Comput

Author:

Kreinovich Vladik,Xiang Gang,Starks Scott A.,Longpré Luc,Ceberio Martine,Araiza Roberto,Beck Jan,Kandathi Raj,Nayak Asis,Torres Roberto,Hajagos Janos G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Software

Link

http://link.springer.com/content/pdf/10.1007/s11155-006-9015-4.pdf

Reference51 articles.

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2. Berleant, D.: Automatically Verified Arithmetic on Probability Distributions and Intervals, in: Kearfott, R. B. and Kreinovich, V (eds), Applications of Interval Computations,Kluwer Aca demic Publishers, Dordrecht, 1996.

3. Berleant, D.: Automatically Verified Arithmetic with Both Intervals and Probability Density Functions, Interval Computations2 (1993), pp. 48–70.

4. Berleant, D. and Goodman-Strauss, C.: Bounding the Results of Arithmetic Operations on Random Variables of Unknown Dependency Using Intervals, Reliable Computing 4(2) (1998), pp. 147–165.

5. Berleant, D., Xie, L., and Zhang, J.: Statool: A Tool for Distribution Envelope Determination (DEnv), an Interval-Based Algorithm for Arithmetic on Random Variables, Reliable Computing9 (2) (2003), pp. 91–108.

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