Transforming stochastic matrices for stochastic comparison with the st-order

Tuğrul Dayar; Jean-Michel Fourneau; Nihal Pekergin

RAIRO - Operations Research (2010)

  • Volume: 37, Issue: 2, page 85-97
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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Dayar, Tuğrul, Fourneau, Jean-Michel, and Pekergin, Nihal. "Transforming stochastic matrices for stochastic comparison with the st-order." RAIRO - Operations Research 37.2 (2010): 85-97. <http://eudml.org/doc/105284>.

@article{Dayar2010,
abstract = { 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. },
author = {Dayar, Tuğrul, Fourneau, Jean-Michel, Pekergin, Nihal},
journal = {RAIRO - Operations Research},
keywords = {Markov processes; probability distributions; stochastic ordering; st-order.; st-order},
language = {eng},
month = {3},
number = {2},
pages = {85-97},
publisher = {EDP Sciences},
title = {Transforming stochastic matrices for stochastic comparison with the st-order},
url = {http://eudml.org/doc/105284},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Dayar, Tuğrul
AU - Fourneau, Jean-Michel
AU - Pekergin, Nihal
TI - Transforming stochastic matrices for stochastic comparison with the st-order
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 2
SP - 85
EP - 97
AB - 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.
LA - eng
KW - Markov processes; probability distributions; stochastic ordering; st-order.; st-order
UR - http://eudml.org/doc/105284
ER -

References

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  12. D. Stoyan, Comparison Methods for Queues and Other Stochastic Models. John Wiley & Sons, Berlin, Germany (1983).  
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