On General and local estimation of local average and their application in geotechnical parameter estimations
| Main Authors: | Honjo, Yusuke, Setiawan, Budhi |
|---|---|
| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
Taylor and Francis Group
, 2007
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| Subjects: | |
| Online Access: |
http://eprints.unsri.ac.id/2621/1/On_general_and_Local_Estimation_of_Loca;_Average_and_Theeir_application_in_Geotecnical_Parameter_Estimation(%232621).pdf http://dx.doi.org/10.1080/17499510701745960 http://eprints.unsri.ac.id/2621/ |
Daftar Isi:
- 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.