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RDP 2018-01: A Density-based Estimator of Core/Periphery Network Structures: Analysing the Australian Interbank Market
Equation
∂
e
DB
∂
x
=
2
(
d
O
−
d
P
)
[
y
2
(
c
T
−
x
+
y
)
3
+
(
1
−
c
T
−
y
)
2
(
1
−
c
T
−
y
+
x
)
3
]
+
2
(
d
C
−
d
O
)
[
(
c
T
−
x
)
y
(
c
T
−
x
+
y
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3
+
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1
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c
T
−
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x
(
1
−
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−
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]
∂
e
DB
∂
y
=
2
(
d
O
−
d
P
)
[
(
c
T
−
x
)
y
(
c
T
−
x
+
y
)
3
+
(
1
−
c
T
−
y
)
x
(
1
−
c
T
−
y
+
x
)
3
]
+
2
(
d
C
−
d
O
)
[
(
c
T
−
x
)
2
(
c
T
−
x
+
y
)
3
+
x
2
(
1
−
c
T
−
y
+
x
)
3
]
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