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

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  • Osuna, Edgar Elias

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: {−∞

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  • Osuna, Edgar Elias, 2012. "Crossing points of distributions and a theorem that relates them to second order stochastic dominance," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 758-764.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:4:p:758-764
    DOI: 10.1016/j.spl.2011.12.010
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