Characterization of a Marshall-Olkin type class of distributions

Marco Scarsini and Pietro Muliere

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Abstract: A class of bivariate distributions that generalize Marshall-Olkin's one is characterized through a functional equation which involves two associative operations. The obtained distributions concentrate positive mass on the linex=y when the two associative operations coincide; otherwise a positive mass is concentrated on a continuous monotone function.

Keywords: Probability law; Bivariate distribution (search for similar items in EconPapers)
Date: 1987
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Citations: View citations in EconPapers (9)

Published in Annals of the Institute of Statistical Mathematics, 1987, Vol. 39, N°1, pp. 429-441. ⟨10.1007/BF02491480⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00542248

DOI: 10.1007/BF02491480

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