An Introduction to the Theory of Stochastic Orders.
F. Belzunce (2010)
Boletín de Estadística e Investigación Operativa. BEIO
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F. Belzunce (2010)
Boletín de Estadística e Investigación Operativa. BEIO
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Dražen Pantić (1994)
Publications de l'Institut Mathématique
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Lakshmi Kanta Patra, Suchandan Kayal, Phalguni Nanda (2018)
Applications of Mathematics
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We focus on stochastic comparisons of lifetimes of series and parallel systems consisting of independent and heterogeneous new Pareto type components. Sufficient conditions involving majorization type partial orders are provided to obtain stochastic comparisons in terms of various magnitude and dispersive orderings which include usual stochastic order, hazard rate order, dispersive order and right spread order. The usual stochastic order of lifetimes of series systems with possibly different...
Tuğrul Dayar, Jean-Michel Fourneau, Nihal Pekergin (2010)
RAIRO - Operations Research
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We present a transformation for stochastic matrices and analyze the effects of using it in stochastic comparison with the strong stochastic (st) order. We show that unless the given stochastic matrix is row diagonally dominant, the transformed matrix provides better st bounds on the steady state probability distribution.