Crossing points of distributions and a theorem that relates them to second order stochastic dominance

Edgar Elias Osuna

Statistics & Probability Letters, 2012, vol. 82, issue 4, 758-764

Abstract: We state formal definitions for crossing points in pairs of distributions and give a detailed proof of a theorem that relates those points to the second order stochastic dominance (SSD). The theorem states that the fulfillment of the area balance conditions for SSD at the t values that correspond to crossing points, and at the limit t→∞, is a necessary and sufficient condition for its fulfillment at all t: {−∞Keywords: Stochastic dominance; Concave stochastic dominance; Ordering of distributions; Risk analysis; Decisions under uncertainty (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2011.12.010

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