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Verification
.
EqualBlocksDirectional
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Imports
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Verification.EqualBlocks
Verification.OrdinalConditionalRank
Imported by
Verification
.
equalBlocks_xi
Verification
.
equalBlocks_correlationRatio
← Mathematical handbook
Directional coefficients for equal diagonal blocks
#
source
theorem
Verification
.
equalBlocks_xi
(
n
:
ℕ
)
(
C
:
ProbabilityTheory.Copula
2
)
:
(
equalBlocks
n
C
)
.
chatterjeeXi
=
1
-
(
1
-
C
.
chatterjeeXi
)
/
(
↑
n
+
1
)
source
theorem
Verification
.
equalBlocks_correlationRatio
(
n
:
ℕ
)
(
C
:
ProbabilityTheory.Copula
2
)
:
correlationRatio
(
equalBlocks
n
C
)
=
1
-
(
1
-
correlationRatio
C
)
/
(
↑
n
+
1
)
^
2