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Modelling Dependence with Copulas - IFOR

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11.2 Examples<br />

[1] 0.6886402<br />

> cor(rank(copvals[,1]),rank(copvals[,3]))<br />

[1] 0.6976064<br />

> cor(rank(copvals[,1]),rank(copvals[,4]))<br />

[1] 0.6984134<br />

> cor(rank(copvals[,1]),rank(copvals[,5]))<br />

[1] 0.7181849<br />

><br />

> rnvals<br />

> cor(rank(rnvals[,1]),rank(rnvals[,2]))<br />

[1] 0.6886402<br />

> cor(rank(rnvals[,1]),rank(rnvals[,3]))<br />

[1] 0.6976064<br />

> cor(rank(rnvals[,1]),rank(rnvals[,4]))<br />

[1] 0.6984134<br />

> cor(rank(rnvals[,1]),rank(rnvals[,5]))<br />

[1] 0.7181849<br />

> cor(rnvals)<br />

res res res res res<br />

res 1.0000000 0.6410928 0.6762915 0.5833469 0.6941502<br />

res 0.6410928 1.0000001 0.6857604 0.6093035 0.6740947<br />

res 0.6762915 0.6857604 1.0000000 0.6182865 0.7004315<br />

res 0.5833469 0.6093035 0.6182865 1.0000001 0.6079597<br />

res 0.6941502 0.6740947 0.7004315 0.6079597 1.0000001<br />

><br />

> rnvals<br />

> cor(rnvals)<br />

res res res res res<br />

res 1.0000000 0.6198149 0.5630721 0.5432518 0.5884659<br />

res 0.6198149 1.0000000 0.5224883 0.5557166 0.5431907<br />

res 0.5630721 0.5224883 1.0000000 0.6004927 0.5706847<br />

res 0.5432518 0.5557166 0.6004927 1.0000001 0.6274458<br />

res 0.5884659 0.5431907 0.5706847 0.6274458 1.0000000<br />

><br />

> copvals<br />

> cor(rank(copvals[,1]),rank(copvals[,2]))<br />

[1] 0.7183862<br />

> cor(rank(copvals[,1]),rank(copvals[,3]))<br />

[1] 0.4746474<br />

> cor(rank(copvals[,2]),rank(copvals[,3]))<br />

[1] 0.4705604<br />

><br />

85

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