Geotechnical Engineering (한국지반공학회지:지반)

Korean Geotechnical Society (한국지반공학회)
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A Solution for Order Relation Problems in Multiple Indicator Kriging

다분적 지시크리깅에 있어서 순서문제에 관한 연구

  • 유광호 (정회원, 삼성건설(주) 기술연구소)
  • Published : 1995.09.01
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Abstract

Embracing a suggestion by Sullivan(1984) and minimizing the sum of the estimation variances at all thresholds, a rigorous solution to order relatioll problems in multiple indi gator kriging is formulated. By utilizing the particular structure of the resulting optimization problem, a solution algorithm is developed that requires little computational effort beyond the initial indicator kriging. Thus, this proposed solution is computationally efficient, mathematically consistent, and based upon an explicit statistical foundation-unlike many of the ad hoc solutions currently in use.

Sullivan(1984)에 의한 제안과 모든 경계값에서의 추정분산값의 합을 최소화하는 개념을 포함하는 동시에, 다분적 지시크리깅에 있어서의 순서문제를 해결하기 위한 방법이 모색되었다. 최적화 문제를 이용함으로써 해결방법이 개발되었는데, 이는 원래 지시크리깅을 위해 요구되는 계산보다 약간의 계산을 더 함으로써 가능하다. 따라서 제안된 방법은 현재 많이 사용되는 다른 임시 방편적인 해결방법들 보다 계산상 효율적인 동시에, 수학적으로도 모순되지 않는 명확한 추계적 원리에 근거를 둔 방법이다.

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References

  1. Math. Geol. v.22 no.1 Probaoilistic analysis of Collapsing Soil by Indicator Kriging Alli, M.M.;Nowatzki, E.A.;Myers, D.E.
  2. Rock Mechanics Design in Mining and Tunnelling Bieniawski, Z.T.
  3. Applied Numerical Methods Carnahan, B.;Luther, H.A.;Wilkes, J.O.
  4. Math. Geol. v.18 no.4 An Indicator Kriging Model for Investigation of Seismic Hazard Carr, J.R.;Bailey, R.M.
  5. An Introduction to Applied Geostatistics Isaaks, E.H.;Srivastava, R.M.
  6. Water Resources Research v.25 no.12 Hydrostratigraphic Interpertation Using Indicator Geostatistics Johnson, N.M.;Dreiss, S.J.
  7. 17th APCOM Symposium The Indicator Approach to Estimation for Spatial Distributions Journel, A.G.
  8. Math. Geol. v.15 no.3 Nonparametric Estimation of Spatial Distributions Journel, A.G.
  9. Geostatistics for Natural Resources Characterization the Place Non-parametric Estimation Geostatistics Journel, A.G.;G. Verly(et al.)(eds.)
  10. Math. Geol. v.18 no.3 Constrained Interpolation and Qualitative Information Journel, A.G.
  11. 21st APCOM Proceedings Using IK to Determine Pod Knudsen, H.P.;Fritz, C.B.;Weiss, A.(ed.)
  12. Math. Geol. v.16 no.4 Constrained Kriging Using Quadratic Programming Limic, N.;Midelic, A.
  13. Introduction to Linear and Nonlinear Programming Luenberger, D.G.
  14. Numerical Recipes(Fortran Version) Press, W.H.;Flannery, B.P.;Teukolsky, S.A.;Vetterling, W.T.
  15. Math. Geol. v.18 no.3 Mapping by Simple Indicator Kriging Solow, A.R.
  16. Geostatistics for Natural Resources Characterization Conditional Recovery Estimation through Probability Kriging-Theory and Practice Sullivan, J.;G. Verly(et al.)(eds.)