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Original Articles

Asymptotic Expansion for Functionals of a Marked Point Process

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Pages 1449-1465 | Received 04 Aug 2008, Accepted 01 Dec 2009, Published online: 28 Apr 2010

References

  • Kusuoka , S. , Yoshida , N. ( 2000 ). Malliavin calculus, geometric mixing, and expansion of diffusion functionals . Probab. Theor. Relat. Field. 116 ( 4 ): 457 – 484 .
  • Sakamoto , Y. ( 2000 ). Asymptotic Expansions of Test Statistics for Stochastic Processes. Theory of Statistical Analysis and Its Applications 3 . Vol. 130 , Tokyo , Japan : The Institute of Statistical Mathematics .
  • Sakamoto , Y. , Yoshida , N. ( 2004 ). Asymptotic expansion formulas for functionals of ∊-Markov processes with a mixing property . Ann. Inst. Statist. Math. 56 ( 3 ): 545 – 597 .
  • Sakamoto , Y. , Yoshida , N. ( 2008 ). Asymptotic expansion for stochastic processes: an overview and examples . J. Jpn. Stat. Soc. 38 ( 1 ): 173 – 185 .
  • Veretennikov , A. Yu. ( 1987 ). Bounds for the mixing rate in the theory of stochastic equations . Theor. Probab. Appl. 32 : 273 – 281 .
  • Veretennikov , A. Yu. ( 1997 ). On polynomial mixing bounds for stochastic differential equations . Stochastic Processes and their Applications 70 ( 1 ): 115 – 127 .
  • Yoshida , N. ( 2004 ). Partial mixing and conditional edgeworth expansion for diffusions with jumps . Probab. Theor. Relat. Field. 129 : 559 – 624 .

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