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Correlation Control in Monte Carlo Type Sampling: Theoretical Analysis and Performance Bounds

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F11%3APU96556" target="_blank" >RIV/00216305:26110/11:PU96556 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Correlation Control in Monte Carlo Type Sampling: Theoretical Analysis and Performance Bounds

  • Original language description

    The objective of this paper is twofold. Firstly to deliver theoretical bounds for performance of simulation techniques of Monte Carlo type measuring the ability to fulfill prescribed correlation matrices. Secondly, we study the performance in correlationcontrol of recently proposed procedure for sampling from a multivariate population within the framework of Monte Carlo simulations (especially Latin Hypercube Sampling). In particular, we study the ability of the method to fulfill the prescribed marginals and correlation structure of a random vector for various sample sizes. Two norms of correlation error are defined, one very conservative and related to extreme errors, other related to averages of correlation errors. We study behavior of Pearson correlation coefficient for Gaussian vectors and Spearman rank order coefficient (as a distribution-free correlation measure)

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JM - Structural engineering

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/KJB201720902" target="_blank" >KJB201720902: Development of numerical methods for analyses of stochastic computational mechanics problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    1st International Symposium on Uncertainty Modelling in Engineering, held in Prague

  • ISBN

    978-80-01-04805-4

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    67-70

  • Publisher name

    Neuveden

  • Place of publication

    Praha

  • Event location

    Praha

  • Event date

    May 2, 2011

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article