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Volumn 23, Issue 5, 1998, Pages 147-165

Bounding the Results of Arithmetic Operations on Random Variables of Unknown Dependency Using Intervals

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Indexed keywords


EID: 0000210906     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1009933109326     Document Type: Article
Times cited : (65)

References (16)
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    • Berleant, D.1
  • 2
    • 0013449534 scopus 로고    scopus 로고
    • Automatically Verified Arithmetic on Probability Distributions and Intervals
    • Kearfott, B. and Kreinovich, V. (eds.), Kluwer Academic-Publishers
    • Berleant, D.: Automatically Verified Arithmetic on Probability Distributions and Intervals, in: Kearfott, B. and Kreinovich, V. (eds.), Applications of Interval Computations, Kluwer Academic-Publishers, 1996, pp. 227-244.
    • (1996) Applications of Interval Computations , pp. 227-244
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  • 3
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    • Quality Assurance for Monte Carlo Risk Assessment
    • Ayyub, B. M. (ed.), IEEE Computer Society Press
    • Person, S.: Quality Assurance for Monte Carlo Risk Assessment, in: Ayyub, B. M. (ed.), Proceedings of ISUMA-NAFIPS '95, IEEE Computer Society Press, 1995.
    • (1995) Proceedings of ISUMA-NAFIPS '95
    • Person, S.1
  • 5
    • 0028830444 scopus 로고
    • Correlations, Dependency Bounds and Extinction Risks
    • Person, S. and Burgman, M. A.: Correlations, Dependency Bounds and Extinction Risks, Biological Conservation 73 (1994), pp. 101-105.
    • (1994) Biological Conservation , vol.73 , pp. 101-105
    • Person, S.1    Burgman, M.A.2
  • 6
    • 0343061708 scopus 로고    scopus 로고
    • Whereof One Cannot Speak: When Input Distributions Are Unknown
    • accepted
    • Person, S., Ginzburg, L., and Akçakaya, R.: Whereof One Cannot Speak: When Input Distributions Are Unknown, Risk Analysis, accepted.
    • Risk Analysis
    • Person, S.1    Ginzburg, L.2    Akçakaya, R.3
  • 7
    • 0029255659 scopus 로고
    • Conservative Uncertainty Propagation in Environmental Risk Assessments
    • Hughes, J., Biddinger, G., and Mones, E. (eds), American Society for Testing and Materials
    • Person, S. and Long, T.: Conservative Uncertainty Propagation in Environmental Risk Assessments, in: Hughes, J., Biddinger, G., and Mones, E. (eds), Environmental Toxicology and Risk Assessment, Third Volume, ASTM STP 1218, American Society for Testing and Materials, 1995.
    • (1995) Environmental Toxicology and Risk Assessment, Third Volume, ASTM STP 1218 , vol.3
    • Person, S.1    Long, T.2
  • 8
    • 0001503499 scopus 로고
    • Best-Possible Bounds for the Distribution of a Sum - A Problem of Kolmogorov
    • Frank, M. J., Nelsen, R. B., and Schweizer, B.: Best-Possible Bounds for the Distribution of a Sum - a Problem of Kolmogorov, Probability Theory and Related Fields 74 (1987), pp. 199-211.
    • (1987) Probability Theory and Related Fields , vol.74 , pp. 199-211
    • Frank, M.J.1    Nelsen, R.B.2    Schweizer, B.3
  • 9
    • 0026109193 scopus 로고
    • Numerical Calculations for Histogram Operations and Their Applications
    • in Russian
    • Gerasimov, V. A., Dobronets, B. S., and Shustrov, M. Yu.: Numerical Calculations for Histogram Operations and Their Applications, Avtomatika i Telemekhanika 52 (2) (1991), (in Russian).
    • (1991) Avtomatika I Telemekhanika , vol.52 , Issue.2
    • Gerasimov, V.A.1    Dobronets, B.S.2    Shustrov, M.Yu.3
  • 11
    • 2542472572 scopus 로고
    • Interval, Mean Value, Standard Deviation, What Else? Group-Theoretic Approach to Describing Uncertainty of Measurements
    • Technical Report tr93-8, Dept. of Computer Science, U. Texas El Paso, ftp://cs.utep.edu/pub/reports/tr93-8.tex. Abstract Lafayette, Louisiana
    • Kreinovich, V. and Villaverde, K.: Interval, Mean Value, Standard Deviation, What Else? Group-Theoretic Approach to Describing Uncertainty of Measurements, Technical Report tr93-8, Dept. of Computer Science, U. Texas El Paso, ftp://cs.utep.edu/pub/reports/tr93-8.tex. Abstract in: Abstracts for a Workshop on Interval Methods in Artificial intelligence, 1993, Lafayette, Louisiana.
    • (1993) Abstracts for a Workshop on Interval Methods in Artificial Intelligence
    • Kreinovich, V.1    Villaverde, K.2
  • 13
    • 0000022886 scopus 로고
    • Copulas, Characterization, Correlation, and Counterexamples
    • Nelsen, R. B.: Copulas, Characterization, Correlation, and Counterexamples, Mathematics Magazine 68 (3) (1995), pp. 193-198.
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    • Nelsen, R.B.1
  • 14
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    • Pesonen, J.1    Hyvönen, E.2
  • 15
    • 0002063018 scopus 로고
    • Probabilistic Arithmetic i: Numerical Methods for Calculating Convolutions and Dependency Bounds
    • Williamson, R. and Downs, T.: Probabilistic Arithmetic i: Numerical Methods for Calculating Convolutions and Dependency Bounds, International Journal of Approximate Reasoning 4 (1990), pp. 89-158.
    • (1990) International Journal of Approximate Reasoning , vol.4 , pp. 89-158
    • Williamson, R.1    Downs, T.2
  • 16
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    • Finding the Likely Behaviors of Static Continuous Nonlinear Systems
    • Accepted to corresponding issue of Annals of Mathematics and Artificial Intelligence
    • Yeh, A.: Finding the Likely Behaviors of Static Continuous Nonlinear Systems, presented at the 2nd International Workshop on Artificial Intelligence and Statistics, Jan. 1989. Accepted to corresponding issue of Annals of Mathematics and Artificial Intelligence.
    • 2nd International Workshop on Artificial Intelligence and Statistics, Jan. 1989
    • Yeh, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.