Geoscience Reference
In-Depth Information
Standard Deviation:
i
=
1
n
x
)
2
(
x
i
−
s
=
n
−
1
Lag-1 Autocorrelation:
i
=
2
n
x
)(
x
i
−
1
−
x
)
(
x
i
−
r
1
=
1)
s
x
(
n
−
Mean Sensitivity:
n
1
2(
x
i
−
x
i
−
1
)
ms
=
n
−
1
(
x
i
+
x
i
−
1
)
i
=
2
Empirical signal strength statistics for
m
tree-ring series from
t
trees of length
n
:
Mean chronology:
m
1
m
X
=
x
i
,
j
j
=
1
for each year,
i
=
1,
n
Chronology MS:
n
2
(
X
i
−
1
X
i
−
1
)
MS
c
=
−
n
1
(
X
i
+
X
i
−
1
)
i
=
2
Average
ms
of the
m
series:
m
1
m
MS
s
=
ms
j
j
=
1
Edmund Schulman's
R
:
MS
s
MS
c
ESR
=
For
t
trees and
m
total cores, calculate all possible between-series Pearson cross-
correlations as
