ETL 1110-1-175
30 Jun 97
Appendix B: Notation
a
C(x1,x2) Covariance of data values at locations
Angle for directional variogram
x1 and x2
b
Slope of variogram
Dij
Difference in values between data
c
points i and j
Generic constant used for cutoff value
in probability distribution or indicator
transformation
E
Expectation
e
I(.)
Kriging error
Indicator function
~
e
K
Reduced kriging error
Number of variogram bins
f
N(.) Number of squared differences in
Explanatory variables used in drift
equations
variogram bin
g
P
Nugget of variogram
h
Sn2
Sample variance on n observations
Lag or distance between two data points
n
V
Number of data points
Voronoi polygon
m
Var
Number of locations in a given block
Population variance
W(x)
r
Co-kriging random variable at
Range of variogram
location x
s
Sill of variogram
Y(x)
Transformed variable at location x
w
Weight
Z
Regionalized random variable
Z(x)
Potential value of Z at location x
z(x) Measurement of Z at location x
8
Z(x)
Predictor or estimate of Z at location
x, obtained from kriging
^
z(x1) Kriging estimate using measured data
Z*(x)
Residuals of Z(x)
A
Area of triangle
^
Z(x)
Arbitrary predictor of Z at location x
B
Area designation in block kriging
Sample mean of n observations
Zn
C
Population covariance function
$
Regression coefficient used in polyno-
^
C
Sample covariance function
mial representation for drift
B-1
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