On General and local estimation of local average and their application in geotechnical parameter estimations

Honjo, Yusuke and Setiawan, Budhi (2007) On General and local estimation of local average and their application in geotechnical parameter estimations. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 1 (3). pp. 167-176. ISSN 1749-9518/1749-9526

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    Abstract

    Two kind of estimation variance functions for estimating a local average (LA) of the stationary (homogeneous) random field (RF) are derived. One is local estimation (LE) and the other is general estimation (GE)of LA. The former is for estimating LA at the observation location, and the latter is for obtaining LA at any arbitrary location within the RF. The geotechnical parameters at the spot where the investigations are made,whereas GE is for estimating LA at any arbitrary location within the same layer. The behavior of the two estimation variance functions differs greatly, controlled by the number of observations (i.e sample size)and the normalized layer thickness (layer thickness divided by autocorrelation distance of RF). Based on the derived estimatoin variance functions, methods for determining reliable characteristic valuesof geotechnical parameters and necesarry sample size are proposed. The methods are based on the same framework as that of the traditional statistical theory, i.e. confidence interval of estimated parameters. However, the assumption of indepently and identically distributed (i.i.d) samples in the tradional statistical theory is replaced by the assumption of correlated samples from a stationary RF. The results obtained from the proposed methods for LE and GE differ from each other as well as from the tradional results, which has significant implications for geotechnical parameter estimation in geotechnical engineering practice.

    Item Type: Article
    Uncontrolled Keywords: Geotchnical parameter estimation; Characteristic values;sample size;Random field;Correlation structure;Variance functions
    Subjects: Q Science > QE Geology
    Divisions: Faculty of Engineering > Department of Civil Engineering
    Depositing User: Hairul Anwar
    Date Deposited: 12 Sep 2013 12:13
    Last Modified: 12 Sep 2013 12:13
    URI: http://eprints.unsri.ac.id/id/eprint/2621

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