AN AXIOMATIZATION OF QUANTILES ON THE DOMAIN OF DISTRIBUTION FUNCTIONS
Christopher Chambers
Mathematical Finance, 2009, vol. 19, issue 2, 335-342
Abstract:
In an environment in which the primitive is the space of distribution functions, we characterize the quantile functions by the axioms ordinal covariance, monotonicity with respect to first‐order stochastic dominance, and upper semicontinuity. We show how to characterize the VaR in a similar manner.
Date: 2009
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https://doi.org/10.1111/j.1467-9965.2009.00369.x
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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathfi:v:19:y:2009:i:2:p:335-342
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