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Asymptotic expansions for functionals processes

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(1)Asymptotic expansions for functionals processes Alexander A. Borovkov. To cite this version: Alexander A. Borovkov. Asymptotic expansions for functionals processes. [Research Report] RR-2236, INRIA. 1994. �inria-00074434�. HAL Id: inria-00074434 https://hal.inria.fr/inria-00074434 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. 

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(374) W0sh[nW = G @ M0ž : «c3« : M/c=£ ž E G H : Mc`SE G 3 : G «c3«ENM 3 : Mc=£,d J O ™šORiaijO±e ™šMbO

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(383) e. E EM E EH E : G @3 3 @ M * c : G «BABAA0« c J f  : G @ HA@ G * c : G « c « c G J , , M G J f  H @ G @ M * E c H « E c G « E c M J 6 f  F @ F , G * Ec F « EIF c , G J 6 f Z F * IE c F , F 8;: G , F 8;:G ”z]3WÅGMTep``P]3MbWyW`PW0MbU·e¹]3W0MPWœSMPWV†Z ž c M £&oxW0UVU$S ¥ °3ORM f  F @ F , G  @ [

(384) « @

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(386) . F @ F , G * IE c F « E F c , G. ,. 3 c:M7. 

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(388) ±]3W0MPWqORU$S_jshe  F SMbWrq=WeP[nMb_ao¦Wq·_as›”z]3W0ORMPW0U©‚¥h°GdvMb`b]vW0M H H 7 = : G @ H ž<? : G «I? H £ Z : G * ? :c G T¬ ? M ¬T? : G 3 H c:M7 c : M f Z : G * E c: G a   8;: 5  8  . , , H H 7 Z : G ž :N: G £ = : G @ H ž :N: G c3« : H c=£;¬ : H ¬ :N: G d 3 7  8;:  8 . 5 H 4 : :G 4 Z : G ž : : G £;¬ : : G A d = : G @ Hž J«J £ 7 ; 8 : . 5 . . ô6ô íopWp?qWr.

(389) ‚R‚. V

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(394) J S  ž9J J†£Uc'J Z ž G£« = G ž J £

(395) J = G žJ £ 2J Z†ž 3£« 7 = G @ Mcž : «3£,¬ : 3  = G @ MnžJ=«J†£ J Z ž G£*A H. ÷šøô¾÷—ù.

(396) ‚Rƒ.  

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(398) H = G ž G£QH = M ž 3£b£d J . ±]hS``PORQ

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(421) s3ijx O

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