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Geology 597 – Geostatistics Equations

Mean

Variance

Sample Mean

Sample Variance

Unbiased estimate of Population Variance

Covariance

Correlation Coefficient

Gaussian Distribution

Conditional Probability

Semivariogram

Semivariogram Properties

Covariance Function

Covariance Function Properties

Correlogram

Correlogram Properties

Relationships between semivariogram, covariance function and correlogram

Cross-covariance function

Cross-correlation function

Cross-semivariogram

Indicator Semivariogram

Indicator Covariance Function

Covariance Function Models

Semivariogram Models

Kriging Matrix

Kriging Estimate

Kriging Estimate Variance

Block Kriging Matrix

Block Kriging Estimation Variance

Average Block Covariance

Traditional Ordinary Cokriging Matrix

Traditional Ordinary Cokriging Estimate

Traditional Ordinary Cokriging Variance

Standardized Ordinary Cokriging Matrix

Standardized Ordinary Cokriging Estimate

Standardized Ordinary Cokriging Variance

Linear Regression Slope and Intercept

Regression Statistics

Regression Statistics t-distribution with n-2 degrees of freedom
Slope and Slope Confidence Interval

Intercept confidence interval

Mean confidence interval

Estimate confidence interval

Correlation Coefficient Estimate

Credits: Based on the excellent class notes provided by, Dr. Larry Bentley and student contributors, Ariana Pumo and Richard De Hoop during Fall 2015.
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