Simulation of binary random fields: application to random media

Phaedon-Stelios Koutsourelakis, George Deodatis

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Binary random fields, which represent a particular class of non-Gaussian fields with discrete cumulative distribution and discontinuous samples, can be used to model two-phase random media. This allows the generation of realizations of two-phase random media by simulating the binary random fields. The method proposed for that purpose in this paper is based on a nonlinear transformation with memory of Gaussian random fields. It retains the advantages and extends the applicability of memoryless transformations that have been used in the past for the same reason.

    Original languageEnglish
    Title of host publicationApplications of Statistics and Probability in Civil Engineering
    Subtitle of host publicationProceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003
    EditorsArmen Der Kiureghian, Samer Madanat, Juan Manuel Pestana-Nascimento
    PublisherMillpress
    Pages337-343
    Number of pages7
    ISBN (Print)90-5966-004-8, 9789059660045
    Publication statusPublished - 2003
    Event9th International Conference on Applications of Statistics and Probability in Civil Engineering - San Francisco, United States
    Duration: 6 Jul 20039 Jul 2003

    Conference

    Conference9th International Conference on Applications of Statistics and Probability in Civil Engineering
    CountryUnited States
    CitySan Francisco
    Period6/07/039/07/03

    Keywords

    • RECONSTRUCTING RANDOM-MEDIA

    Cite this

    Koutsourelakis, P-S., & Deodatis, G. (2003). Simulation of binary random fields: application to random media. In A. Der Kiureghian, S. Madanat, & J. M. Pestana-Nascimento (Eds.), Applications of Statistics and Probability in Civil Engineering: Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003 (pp. 337-343). Millpress.
    Koutsourelakis, Phaedon-Stelios ; Deodatis, George. / Simulation of binary random fields: application to random media. Applications of Statistics and Probability in Civil Engineering: Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003. editor / Armen Der Kiureghian ; Samer Madanat ; Juan Manuel Pestana-Nascimento. Millpress, 2003. pp. 337-343
    @inproceedings{03082bd1da844e6b94c991f1ab1eab9e,
    title = "Simulation of binary random fields: application to random media",
    abstract = "Binary random fields, which represent a particular class of non-Gaussian fields with discrete cumulative distribution and discontinuous samples, can be used to model two-phase random media. This allows the generation of realizations of two-phase random media by simulating the binary random fields. The method proposed for that purpose in this paper is based on a nonlinear transformation with memory of Gaussian random fields. It retains the advantages and extends the applicability of memoryless transformations that have been used in the past for the same reason.",
    keywords = "RECONSTRUCTING RANDOM-MEDIA",
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    year = "2003",
    language = "English",
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    booktitle = "Applications of Statistics and Probability in Civil Engineering",
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    }

    Koutsourelakis, P-S & Deodatis, G 2003, Simulation of binary random fields: application to random media. in A Der Kiureghian, S Madanat & JM Pestana-Nascimento (eds), Applications of Statistics and Probability in Civil Engineering: Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003. Millpress, pp. 337-343, 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, United States, 6/07/03.

    Simulation of binary random fields: application to random media. / Koutsourelakis, Phaedon-Stelios; Deodatis, George.

    Applications of Statistics and Probability in Civil Engineering: Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003. ed. / Armen Der Kiureghian; Samer Madanat; Juan Manuel Pestana-Nascimento. Millpress, 2003. p. 337-343.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    TY - GEN

    T1 - Simulation of binary random fields: application to random media

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    AU - Deodatis, George

    PY - 2003

    Y1 - 2003

    N2 - Binary random fields, which represent a particular class of non-Gaussian fields with discrete cumulative distribution and discontinuous samples, can be used to model two-phase random media. This allows the generation of realizations of two-phase random media by simulating the binary random fields. The method proposed for that purpose in this paper is based on a nonlinear transformation with memory of Gaussian random fields. It retains the advantages and extends the applicability of memoryless transformations that have been used in the past for the same reason.

    AB - Binary random fields, which represent a particular class of non-Gaussian fields with discrete cumulative distribution and discontinuous samples, can be used to model two-phase random media. This allows the generation of realizations of two-phase random media by simulating the binary random fields. The method proposed for that purpose in this paper is based on a nonlinear transformation with memory of Gaussian random fields. It retains the advantages and extends the applicability of memoryless transformations that have been used in the past for the same reason.

    KW - RECONSTRUCTING RANDOM-MEDIA

    M3 - Conference contribution

    SN - 90-5966-004-8

    SN - 9789059660045

    SP - 337

    EP - 343

    BT - Applications of Statistics and Probability in Civil Engineering

    A2 - Der Kiureghian, Armen

    A2 - Madanat, Samer

    A2 - Pestana-Nascimento, Juan Manuel

    PB - Millpress

    ER -

    Koutsourelakis P-S, Deodatis G. Simulation of binary random fields: application to random media. In Der Kiureghian A, Madanat S, Pestana-Nascimento JM, editors, Applications of Statistics and Probability in Civil Engineering: Proceedings of the 9th International Conference on Applications of Statistics and Probability in Civil Engineering, San Francisco, California, USA, July 6-9, 2003. Millpress. 2003. p. 337-343