Abstract
This paper introduces a systematic and intuitive approach to generating a family of partial orderings, for positive dependence, on bivariate distributions with fixed-marginals. This family includes the more concordant and the more TP2 orderings, as well as some existing orderings. Positive dependence ordering (PDO) properties are discussed for these orderings. Also some implications and equivalences among these orderings are established.
Research supported by NSA Grant No. R0909237. Reproduction in whole or part is permitted for any purpose of the United States Government.
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© 1991 Springer Science+Business Media Dordrecht
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Metry, M.H., Sampson, A.R. (1991). A Family of Partial Orderings for Positive Dependence Among Fixed Marginal Bivariate Distributions.. In: Dall’Aglio, G., Kotz, S., Salinetti, G. (eds) Advances in Probability Distributions with Given Marginals. Mathematics and Its Applications, vol 67. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3466-8_7
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DOI: https://doi.org/10.1007/978-94-011-3466-8_7
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