Description Usage Arguments Value Author(s) References See Also Examples

Compute *PSP copula* (Nelsen, 2006, p. 23) is named by the author (Asquith) for the copBasic package and is

*\mathbf{PSP}(u,v) = \frac{\mathbf{Π}}{\mathbf{Σ} - \mathbf{Π}} = \frac{uv}{u + v - uv}\mbox{,}*

where *\mathbf{Π}* is the *indpendence* or *product copula* (`P`

) and *\mathbf{Σ}* is the sum *\mathbf{Σ} = u + v*. The *\mathbf{PSP}(u,v)* copula is a special case of the *\mathbf{N4212}(u,v)* copula (`N4212cop`

). The *\mathbf{PSP}* is included in copBasic because of its simplicity and for pedagogical purposes. The name “PSP” comes from Product, Summation, Product to loosely reflect the mathematical formula shown. Nelsen (2006, p. 114) notes that the PSP copula shows up in several families and designates it as “*\mathbf{Π}/(\mathbf{Σ}-\mathbf{Π})*.” The PSP is undefined for *u = v = 0* but no internal trapping is made; calling functions will have to intercept the `NaN`

so produced for *\{0, 0\}*. The *\mathbf{PSP}* is left internally untrapping `NaN`

so as to be useful in stressing other copula utility functions herein.

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`u` |
Nonexceedance probability |

`v` |
Nonexceedance probability |

`...` |
Additional arguments to pass, which for this copula are not needed, but given here to support flexible implementation. |

Value(s) for the copula are returned.

W.H. Asquith

Nelsen, R.B., 2006, An introduction to copulas: New York, Springer, 269 p.

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