We clarify the problem of the existence of functions obtained as particular restrictions of the first partial derivatives of a quasicopula and we show their role for characterizing the 2-increasing property. The question of the existence of the one-sided first partial derivatives of a copula along an affine section of the real unit square is discussed and new results and several examples are provided.

On differential properties of copulas

GHISELLI RICCI, Roberto
2013

Abstract

We clarify the problem of the existence of functions obtained as particular restrictions of the first partial derivatives of a quasicopula and we show their role for characterizing the 2-increasing property. The question of the existence of the one-sided first partial derivatives of a copula along an affine section of the real unit square is discussed and new results and several examples are provided.
2013
GHISELLI RICCI, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1871884
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