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Some properties of bivariate Schur-constant distributions

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  • Ta, Bao Quoc
  • Van, Chung Pham

Abstract

This paper deals with the Laplace transform of bivariate Schur-constant models. We show that this transform generates a new family of copulas. Some connections with excursion theory and reflecting Brownian motion are investigated.

Suggested Citation

  • Ta, Bao Quoc & Van, Chung Pham, 2017. "Some properties of bivariate Schur-constant distributions," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 69-76.
    • Handle: RePEc:eee:stapro:v:124:y:2017:i:c:p:69-76
    DOI: 10.1016/j.spl.2017.01.007
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    References listed on IDEAS

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    1. Caramellino, Lucia & Spizzichino, Fabio, 1996. "WBF Property and Stochastical Monotonicity of the Markov Process Associated to Schur-Constant Survivial Functions," Journal of Multivariate Analysis, Elsevier, vol. 56(1), pages 153-163, January.
    2. Kozlova, M. & Salminen, P., 2004. "Diffusion local time storage," Stochastic Processes and their Applications, Elsevier, vol. 114(2), pages 211-229, December.
    3. Castañer, A. & Claramunt, M.M. & Lefèvre, C. & Loisel, S., 2015. "Discrete Schur-constant models," Journal of Multivariate Analysis, Elsevier, vol. 140(C), pages 343-362.
    4. Chi, Yichun & Yang, Jingping & Qi, Yongcheng, 2009. "Decomposition of a Schur-constant model and its applications," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 398-408, June.
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    Cited by:

    1. Anna Castañer & M. Mercè Claramunt, 2019. "Equilibrium Distributions and Discrete Schur-constant Models," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 449-459, June.
    2. Claude Lefèvre & Matthieu Simon, 2021. "Schur-Constant and Related Dependence Models, with Application to Ruin Probabilities," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 317-339, March.
    3. Kolev, Nikolai & Mulinacci, Sabrina, 2022. "New characterizations of bivariate discrete Schur-constant models," Statistics & Probability Letters, Elsevier, vol. 180(C).
    4. Castañer, Anna & Claramunt, M. Mercè & Lefèvre, Claude & Loisel, Stéphane, 2019. "Partially Schur-constant models," Journal of Multivariate Analysis, Elsevier, vol. 172(C), pages 47-58.
    5. Anna Casta~ner & M Merc`e Claramunt, 2017. "Equilibrium distributions and discrete Schur-constant models," Papers 1709.09955, arXiv.org.
    6. Jorge Navarro & Julio Mulero, 2020. "Comparisons of coherent systems under the time-transformed exponential model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 255-281, March.
    7. Anna Castañer & M Mercè Claramunt, 2017. "Equilibrium distributions and discrete Schur-constant models," Working Papers hal-01593552, HAL.

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