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Stochastic Ordering of Order Statistics II
2002In this paper we survey some recent developments involving comparisons of order statistics and spacings in various stochastic senses.
Philip J. Boland +3 more
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Some Shifted Stochastic Orders
2000In this paper we study some known and some new shifted orders. We compare them, we obtain some basic properties of them, we derive some closure properties of them, and we show how they can be used for stochastic comparisons of order statistics; that is, of k-out-of-n systems.
Rosa E. Lillo +2 more
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Transformations of Stochastic Orderings
1994Incomplete orderings of distributions are nowadays used routinely in the analysis of uncertainty, inequality, welfare and poverty. The popularity of these orderings - of which stochastic dominance and Lorenz dominance are the best known examples - is due to the fact that they distinguish those distributional rankings which are widely accepted from ...
Patrick Moyes, Anthony Shorrocks
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Expectiles, Omega Ratios and Stochastic Ordering
Methodology and Computing in Applied Probability, 2016Fabio Bellini, B. Klar, A. Müller
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Stochastic path-ordered exponentials
Journal of Mathematical Physics, 1984We prove convergence of an approximation of the stochastic product integral for conditional Wiener paths to the solution of a certain stochastic integral equation. This is used to establish the Wiener–Itô representation for the kernel of the semigroup exp t ΔA, where ΔA =∑μ (∂μ1+Aμ)2 for functions Aμ with values in the space of anti-Hermitian matrices.
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Stochastic ordering for populations of manufactured items
, 2018Nil Kamal Hazra, M. Finkelstein, J. Cha
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Uniform conditional stochastic order
Journal of Applied Probability, 1980One probability measure is less than or equal to another in the sense of UCSO (uniform conditional stochastic order) if a standard form of stochastic order holds for each pair of conditional probability measures obtained by conditioning on appropriate subsets.
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Testing for uniform stochastic ordering via empirical likelihood
, 2016Hammou El Barmi, I. McKeague
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Permutation Approaches for Stochastic Ordering
, 2014S. Bonnini +3 more
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