Bootstrapped spatial statistics:a more robust approach to the analysis of finite strain data

Mukul, Malay and Roy, Debjani and Satpathy, Shibasis and Anil Kumar, V (2002) Bootstrapped spatial statistics:a more robust approach to the analysis of finite strain data. Technical Report. Centre for Mathematical Modelling and Computer Simulation, Bangalore, India.

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Standard spatial statistics involves exploratory data analysis (EDA) and the computation of a semi-variogram from spatial data such as the finite strain data from a thrust sheet. However, the uncertainties in the computation of the most of the EDA and the semi-variogram parameters cannot be estimated; standard EDA allows the computation of the uncertainties associated with only the sample mean. Bootstrapped EDA is found to be more robust than the13; standard EDA because it allows uncertainties to be computed for all EDA parameters. Bootstrapped spatial statistics also allows the computation of a better and a more robust semivariogram than standard spatial statistics as the uncertainties associated with the semivariogram parameters can be ascertained. The range (a)= 750 m and sill (c) = 0.008 values associated with the exponential semi-variogram computed by Mukul (Journal of Structural Geology, 20 (4), 371-384, 1998) for the finite strain data from the Sevier fold-and-thrust belt in western USA, was recomputed using Bootstrapped Spatial Statistics. The range (a) was13; recomputed as 719.4 xB1;32.2048 and the sill (c) as 0.0097xB1; 0.0004. Kriging estimates obtained using the Bootstrapped semi-variogram indicate that the results are practically insensitive to the uncertainty associated with the estimation of parameters of the semi-variogram used.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Robust;Finite strain data
Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Statistics and Probability
Depositing User: Mr. N A
Date Deposited: 27 Jun 2006
Last Modified: 24 May 2010 04:14

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