Geology 597 Equations-University of Calgary

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Geology 597 – Geostatistics Equations

Mean

geostat_eqsh_mean_01
geostat_eqsh_mean_02

Variance

geostat_eqsh_variance_01
geostat_eqsh_variance_02

Sample Mean

geostat_eqsh_sample_mean

Sample Variance

geostat_eqsh_sample_variance

Unbiased estimate of Population Variance

geostat_eqsh_unbias_est_pop_var

Covariance

geostat_eqsh_covariance

Correlation Coefficient

geostat_eqsh_correlation_coeff

Gaussian Distribution

geostat_eqsh_gaussian_dist

Conditional Probability

geostat_eqsh_conditional_probability

Semivariogram

geostat_eqsh_semivariogram

Semivariogram Properties

geostat_eqsh_semivariogram_prop

Covariance Function

geostat_eqsh_covariance_function

Covariance Function Properties

geostat_eqsh_covariance_prop

Correlogram

geostat_eqsh_correlogram

Correlogram Properties

geostat_eqsh_correlogram_prop

Relationships between semivariogram, covariance function and correlogram

geostat_eqsh_rel_semiv_cov_core

Cross-covariance function

geostat_eqsh_x_covariance

Cross-correlation function

geostat_eqsh_x_correlation

Cross-semivariogram

geostat_eqsh_x_semivariogram

Indicator Semivariogram

geostat_eqsh_indicator_semivariogram

Indicator Covariance Function

geostat_eqsh_indicator_covariance

Covariance Function Models

geostat_eqsh_covariance_models

Semivariogram Models

geostat_eqsh_semivariogram_models
Kriging Matrix

geostat_eqsh_krig_matrix

Kriging Estimate

geostat_eqsh_krig_estimate

Kriging Estimate Variance

geostat_eqsh_block_krig_var_est

Block Kriging Matrix

geostat_eqsh_block_krig_matrix

Block Kriging Estimation Variance

geostat_eqsh_krig_var_est

Average Block Covariance

geostat_eqsh_block_krig_avg_cov

Traditional Ordinary Cokriging Matrix

geostat_eqsh_traditional_ord_cokrig_matrix

Traditional Ordinary Cokriging Estimate

geostat_eqsh_traditional_ord_cokrig_est

Traditional Ordinary Cokriging Variance

geostat_eqsh_traditional_ord_cokrig_var

Standardized Ordinary Cokriging Matrix

geostat_eqsh_standard_ord_cokrig_matrix

Standardized Ordinary Cokriging Estimate
geostat_eqsh_standard_ord_cokrig_est
Standardized Ordinary Cokriging Variance

geostat_eqsh_standard_ord_cokrig_var

Linear Regression Slope and Intercept

geostat_eqsh_linear_reg

Regression Statistics

geostat_eqsh_regression_stats

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

geostat_eqsh_t-dist_slope

Intercept confidence interval

geostat_eqsh_t-dist_intercept

Mean confidence interval

geostat_eqsh_t-dist_mean

Estimate confidence interval

geostat_eqsh_t-dist_estimation

Correlation Coefficient Estimate

geostat_eqsh_correla_coeff_est

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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