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Deviance Information Criteria for Missing Data Models

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(1)Deviance Information Criteria for Missing Data Models Gilles Celeux, Florence Forbes, Christian Robert, Mike Titterington. To cite this version: Gilles Celeux, Florence Forbes, Christian Robert, Mike Titterington. Deviance Information Criteria for Missing Data Models. [Research Report] RR-4859, INRIA. 2003. �inria-00071724�. HAL Id: inria-00071724 https://hal.inria.fr/inria-00071724 Submitted on 23 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. Deviance Information Criteria for Missing Data Models Gilles Celeux — Florence Forbes — Christian Robert — Mike Titterington. N° 4859 Juin 2003. ISSN 0249-6399. ISRN INRIA/RR--4859--FR+ENG. THÈME 4. apport de recherche.

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(181)    !"$# # &%' ()+*&,-# . `/awenloŠx}qq´µ sfqre"}dfx/~"oŠt ­ e¥;mc}qrace"µ·}kzq}qye"tLoŠx. V   6W XMYcDFE\ e I 6 K:I \ce  L I \ T VW$XMYZD[EH\]I Kk E\L+* V    W6XMYcDFE  I \ce K EH\dL L I \ . `/awe"t $#. łt‘q /D[E . I \ce KML 2 I \ R R. *. T. /. $W X YZDFE  I \ce K L I \ e K 2 I \ T ^W$XMYcD[E  I \ce KMLI \ T    W6XMYZD[E  I \ce Kk E\dLNL I \  / #  /    . `/ace¬npo#x}q/o#vcvcrsO:kldfo#qrklsut-xracsŠmcn {­ e¬}eOoŠx}sut™o ­ nzeºµ·acet)qyace¬vsuxŒqye"}klsuK¥;su8K9šukz¤Še"tF\ klx/xrm 5f~kletHqrnz|)~sutc~e"t‘qyro#qye { oŠ}sumct { kzqrx/dfs { eŠ° / eqyacere„¥;surea™oO¤ue ¨†©Œª  * ¨º©Œª d_aV $  łtHq /D[E !I \ce K L 2 I \Me ¦4“‘« ¥;rsud µ·ackz~a k²q†¥;sunznls^µ·x·qya™o#q¨†©Œª  ¨†©Œª oŠt { qra™o#q¬qrace { k²¹Eeretc~"e ­ eq´µ e"et qrace q´µ¶s~"}kzqre"rkloºkzxq´µ·kl~e¶qyace/vsuxŒqye"}klsu!dfe"oŠtNsŠ¥™qrace/dfk¯7qymc}e¶e"t‘qrrsuv‘|u°‚`/awklxkztce Hm™oŠnzkzq´| ~OoŠt ­ e¬¤Še"}kz³™e { kltqracee„:ve"rkzdfet‘qyx/qya™oqB¥;sŠnlnls^µ° `/awe9kld-vsu}qyoŠt‘q·vXsukzt‘qBqrstcs#qyeo ­ sŠmwq·qyackzxºkztce Hm™oŠnzkzq´|)kzx/qya™o#q†¨†©Œª o#t { ¨†©Œª oŠresŠ¥ { k²¹Eere"t‘qBt™o#qrmcrex"±cµ·k²qyaL¨†©Œª †ve"t™o#nlk kltcš9vXs7surn²|x}e"v™o#yo#qre { dfk¯:qrmcrex"°

(182) 

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(185) dfk¯7qymc}e ex}qrkldfo#qykzsut±wµ e9s ­ qoŠkztqrace re"x}mcnzqrxºvwre"x}e"t‘qye { klt

(186) `o ­ nle u° Ćx sutce~OoŠt§x}e"eŠ±¨†©Œª oŠt { ¨º©Œª  { s tcsŠq ­ e"a™oO¤ŠeLxro#qykzx}¥4oŠ~„qysu}klnz| (qrace¥;su}dfeNnleOo { x qysWe„:~"exrx}kz¤uenz|nloŠršue¬oŠt { tcsut:® kltc~re"oŠxrkztcš 7:9  x"±™vc}e"x}mcdo ­ nz| ­ e~OoŠmcx}esŠ¥k²qyx/kztc~"sut7® xrklxŒqyetc~| klt { e"oŠnlkztcš)µ·kzqya  oŠt { qrs vs:sŠ ÃYª/ÃYª oŠvcvc}sOwkzdoqyklsŠtcx†qys

(187) qyaceÃLƀ e"x}qrkldfo#qyex"°`/ace}e"x}mcnzqrx¥;rsŠd ¨†©Œª ioŠre-tcsŠq9re"nzkpo ­ nle ­ e"~Oo#mcxres#¥·~"sud-vcmwqyo#qykzsut™oŠn vcrs ­ nle"d-x"°¶¨†©Œª ºnzeOo { x·qys-npo#ršueZ 7O9  x·qys7sc±™vc}e"x}mcdo ­ nz|

(188) oŠxºoWxrk { ee„¹Ee~q¬s#¥kltw~"su ® vXsuro#qykztcš  o#xov™oŠroŠdfe„qye"±Xµ·awe"re"oŠx¨†©Œª  ­ ea™oO¤uex xro#qykzx}¥4oŠ~„qysu}kln²|)µ·kzqya }e"x}vXe~q qys 7O9¶±w~sutcxrk { e"}kltcš qya™oq¶¥;su o L® ~"sud-vXsŠtce"t‘qd-k²7qrmcre·qyaceºtHmcd ­ e"sŠ¥Âv™oŠyo#dfe„qye"}x klx  T 1u° Cklt™o#nlnz|Š±Etcs#qyeiqyaco#qoŠnln¨†©Œª¶xkzt { kz~Oo#qre

(189) o#xqrace-oŠvcvc}suvc}kpo#qreitHmcd ­ e" . .  

(190) . . fJfhg ikj+lnmo. .

(191) •Š–.  ,$    #  

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