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Abstract

Abstract The notion of a quasi-copula was introduced by Alsina et al. (1993) to characterize operations on distribution functions that can or cannot be derived from operations on random variables. Genest et al. (1999) characterize the quasi-copula concept in simpler operational terms. We present a new simple characterization and some properties of these functions, all of them concerning the mass distribution of a quasi-copula. We show that the features of this mass distribution can be quite different from that of a copula.

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References

  • Alsina, C., R. B. Nelsen and B. Schweizer (1993), On the characterization of a class of binary operations on distribution functions. Statist. Probab. Lett. 17, 85–89.

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  • Nelsen, R. B., J. J. Quesada-Molina, J. A. Rodríguez-Lallena and M. ÚJbeda-Flores (2001), Best-possible Bounds on Sets of Bivariate Distribution Functions. To appear.

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© 2002 Springer Science+Business Media Dordrecht

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Nelsen, R.B., Quesada-Molina, J.J., Rodríguez-Lallena, J.A., Úbeda-Flores, M. (2002). Some New Properties of Quasi-Copulas. In: Cuadras, C.M., Fortiana, J., Rodriguez-Lallena, J.A. (eds) Distributions With Given Marginals and Statistical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0061-0_20

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  • DOI: https://doi.org/10.1007/978-94-017-0061-0_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6136-2

  • Online ISBN: 978-94-017-0061-0

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