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Introduction to Geostatistics | Course Notes

Introduction to Geostatistics Course NotesYe ZhangDept. of Geology & GeophysicsUniversity of WyomingDraft date January 12, Overview..iv1 Why Geostatistics ?.. Geostatistical Prediction.. Geostatistics versus Simple Interpolation.. Limitations.. This Class.. References.. Outline.. Homework, Grades, Tools.. Suggested Reading..122 Probability Theory Nomenclature and Notation.. Univariate Analysis.. Introduction .. Formal Definitions.. Random Variable Arithmetic.. Bivariate Analysis.. Introduction .. Bivariate Random Variables.. Bivariate Arithmetics.. Multivariate Analysis.. Linear Combination of Many .. Multivariate Arithmetics.. Gaussian Distribution.. Central Limit Theorem.. Chapter Project.. Suggested Reading..31iiiCONTENTS3 Spatial Conventional Analysis (Nongeostatistical).. data Posting.. Contour Map.. Symbol Map.. Indicator Map.. Moving Window.. Spatial Continuity Analysis (Geostatistical).

Using inverse distance, the unknown value can be evaluated as: z0 = Xn i=1 wizi (estimate) wi = 1=di Pn i=1(1=di) (weight) We can see that the above relation is a linear estimator, i.e., z0 is a weighted sum of the n known values. Each weight (wi) (assigned to a known zi) is determined by the distance of the known data point to the unknown data ...

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