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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 82, 2010 - Issue 2
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Original Articles

Occupation measure functionals in merging phase space

, &
Pages 149-163 | Received 25 Jan 2008, Accepted 09 Jun 2009, Published online: 21 Apr 2010

References

  • Brydges , D. , van der Hofstad , R. and König , W. 2005 . Joint Density for the Local Times of Continuous-time Markov Chains Vol. 1 , arXiv:math.PR/0511169, 7 November
  • Ethier , S.N. and Kurtz , T.G. 1986 . Markov Processes: Characterization and Convergence , New York : J. Wiley & Sons .
  • Guillotin , N. 1999 . Edge occupation measure for reversible Markov chain . Elect. Comm. Probab. , 4 : 87 – 90 .
  • Hernández-Lerma , O. and Lasserre , J.B. 2000 . Further criteria for positive Harris recurrence of Markov chains . Proc. Amer. Math. Soc. , 129 ( 5 ) : 1521 – 1524 .
  • Keilson , J. 1979 . Markov Chains Models – Rarity and Exponentiality , New York : Springer-Verlag .
  • Kolkovska , E. , López-Mimbela , J.A. and Morales , J.V. 2005 . Occupation measure and local time of classical risk processes . Insurance: Math. Econ. , 37 : 573 – 584 .
  • Korolyuk , V.S. and Korolyuk , V.V. 1999 . Stochastic Models of Systems , Dordrecht : Kluwer .
  • Koroliuk , V.S. and Limnios , N. 2005 . Stochastic Systems in Merging Phase Space , New Jersey : World Scientific .
  • Kushner , H.J. 1990 . Weak Convergence Methods and Singular Perturbed Stochastic Control and Filtering Problems , Boston : Birkhäuser .
  • Liptser , R. 1996 . Large deviation for occupation measures of Markov processes: discrete time non compact case . Theory Probab. Appl. , 41 ( 1 ) : 35 – 54 .
  • Mordecki , E. and Wschebor , M. Smoothing of Paths and Weak Approximation of the Occupation Measure of Lévy Processes Unpublished
  • Rogers , L.C.G. and Williams , D. 1994 . Diffusions, Markov Processes, and Martingales , vols 1 & 2 , Chichester : Wiley .
  • Skorokhod , A.V. 1989 . Asymptotic methods in the theory of stochastic differential equations . AMS , 78 339 pp
  • Wschebor , M. 2006 . Smoothing and occupation measures of stochastic processes . Ann. Fac. Sci. Math. Toulouse, Tome , XV ( 1 ) : 125 – 156 .
  • Yin , G.G. and Zhang , Q. 1998 . Continuous Time Markov Chain and Applications. A Singular Perturbation Approach , New York : Springer .

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