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st-order.

RAIRO - Operations Research (1)

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Transforming stochastic matricesfor stochastic comparison with the st-order
Tuğrul Dayar, Jean-Michel Fourneau, Nihal Pekergin
Journal:

RAIRO - Operations Research / Volume 37 / Issue 2 / April 2003

Published online by Cambridge University Press:

15 November 2003, pp. 85-97

Print publication:

April 2003
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We present a transformation for stochastic matrices and analyze theeffects of using it in stochastic comparison with the strong stochastic(st) order. We show that unless the given stochastic matrix is row diagonallydominant, the transformed matrix provides better st bounds on the steady state probability distribution.