Abstract
A comparison between two random vectors X and Y might be called 1 a stochastic majorization if the comparison reduces to the ordinary 2 majorization x y in case X and Y are degenerate at x and y; i.e.,\({\rm{P\{X = }}x{\rm{\} = 1, P\{ Y = y\} = 1}}{\rm{.}}\)
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Marshall, A.W., Olkin, I., Arnold, B.C. (2010). Stochastic Majorizations. In: Inequalities: Theory of Majorization and Its Applications. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-68276-1_11
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DOI: https://doi.org/10.1007/978-0-387-68276-1_11
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