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Multi-state model for dementia, institutionalization and death

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(1)Multi-state model for dementia, institutionalization and death Daniel Commenges, Pierre Joly. To cite this version: Daniel Commenges, Pierre Joly. Multi-state model for dementia, institutionalization and death. Communications in Statistics - Theory and Methods, Taylor & Francis, 2004, 33 (6), pp.1315-1326. �inserm-00262030�. HAL Id: inserm-00262030 https://www.hal.inserm.fr/inserm-00262030 Submitted on 10 Nov 2009. 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) HAL author manuscript Communications in Statistics 2004;33(6):1315-1326. HAL author manuscript. 

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(166) ^aSV[]€T\&p   p4SV€UTz{W#\{\& ѐ²~Ò ´ []‡)‡‰W#€T]W&\#pKtu&cˆ€s˜8W#z{W&€s„&W+˜8[]z”‡uRTŠ·^aSΆˆ\_^a`b^aW6‡‰[:YTW#Š‹\X˜8z_[]‡¿SV€y^aW&zqÆb`~Š·†®„&W&€s\{[]z_W&Y Y4`b^a`s fJ^“`b^{S‹\_^{S‹„&`~ŠCj!W

(167) ^aœT[:YT\<S‹€!j!W#YTS‹„&`~ŠCh°W#\{W&`~z{„“œ”p   p v~v]p”v(xy‚(†“v(oy—: эx]ÒªÕ~[]ŠVº~p°r6· ´ [~‡‰‡)W&€T~W&\&pktu· kW#Š‹‡)W&z&p ´ · |CW

(168) ^aW#€T€TW&Rsz&p|. š UXW#€4`~Š‹SV½&W#Y Š‹SVÅ~W#Š‹S‹œs[g[:Y`~UTUTUsz{[y`~„“œ¬˜8[]z‰`~€ÃSVŠ‹Š‹€sW&\{\e†ˆYTW&`b^aœ¬‡)[gYTW#Š¹Ä<SV^{œÃS‹€y^{W&z_Æb`~ŠÎ†ˆ„#W&€T\_[]z{W#Y Y4`b^a`sŒ`~UsUTŠ‹SV„±`b^{S‹[]€'^a[%`~]W

(169) †®\{U?W&„#S  „)S‹€T„#S‹YTW#€T„&W‰[~˜YTW#‡‰W#€y^aS»`g Z S‹[]\q^“`b^{S‹\_^{S‹„#\&p   p­nspswyn]nK†+w~wyns ѐ‚~Ò ´ []‡)‡)W&€T]W#\&ptu· ¼Õ~[]ŠVº~pr6° | W

(170) ^aW&€s€TW&RTz#p<|.V ¼t`~z_^{S‹]RTW#\&p¹Õ]ƒ+cˆ€T„&SVYTW&€T„#W `~€TY›UTz{W

(171) Æ~`bŠ‹W&€s„&W¼[b˜ š Š‹½#œTW&SV‡‰W#z ‘\ YsS‹\{W&`~\{W¼[]z YsW&‡)W&€y^aS‹`1RT\{SV€Tu`b€ªcˆŠ‹ŠV€TW&\_\q†ˆYsW±`b^{œ ‡)[gYTW#Š f:^“`K^aS‹\q^aSV„&\S‹€!j!W#YTS‹„#S‹€TWbp ) p?—~ngp”v  K†e—gv(ms эo]Ò"h<[]€TYTW&`~R”p u· ´ []‡‰‡)W&€s]W&\#p+tuV Õ]`~„&QJ‡)S‹€g† %`bYTY4`sp "· t`~zq^aSV]RTW&\#p+Õ]ƒ h<W&Š»`K^aS‹[~€T\{œTSVUÀ–?W#^ˆÄ W&W#€¿`bŠ‹RT‡)S‹€TSVRT‡ `b€TYH\{SVŠ‹S‹„&`„#[]€T„#W&€y^az{`b^aSV[]€T\ªSV€¾YTz{SV€TÅJS‹€T Ä`b^aW#z"`b€TY š Š‹½#œTW&SV‡‰W#z ‘\YTS‹\_W±`~\_W~Œ`~€ÂoK†º]W±`bz/˜8[~Š‹Š‹[(ņ®RTU%\_^{RTYsº~ š ‡ ÕMP.UTS·† YTW#‡‰SV[]Šp  p v-²]—:p­² K†ˆx]xs Ñ ]ҔÕ]`~„&[:Y”pbÕs-j!RsŠV^aS·Æb`~z{S‹`b^aWFUX[~S‹€y^ UTz_[g„#W&\{\_W&\#Œ6UTz_W&YTSV„#^a`~–TŠ‹WŽUTz{[K¸_W#„#^{S‹[]€” ~hk`bYT[]€g† dkSVÅ~[:Ysº:‡ YTW#z{S·Æ~`K^aSVÆ~W~puz_W&UTz_W&\_W&€y^“`b^{S‹[]€Í[~˜)‡‰`~z_^{S‹€Ty`bŠ‹W&\# Ž¼µA`~œTz_\{œTW#S‹€g† Š‹SV„“œTÅ~W#SV^{\_^aœVp Ï  ! p­nsv]p­—~n]²-†q—]²bns Ñqv±myÒ6³FRTz{€J–TRTŠVŠpJZ¼]µ~³œTW<W&‡)UTS‹z_S‹„±`bŠsYTSV\_^az_S‹–TRg^aS‹[~€1˜8RT€T„

(172) ^aS‹[~€Ä<S·^aœ`~z_–TSV^{za`~z_S‹Š·º ]z_[]RTU?W&Y”pT„#W&€T\_[]z{W#Y%`~€sY^{z{RT€s„±`b^{W&Y*YT`b^“`sÕ~[]RTz_€4`~Š”[~˜F^aœsW/h°[(ºy`bŠFf:^“`b^{S‹\q^aS‹„&`~Š fg[:„&SVW#^ˆº]p?f:W&z{SVW&\<Z¼p Ï  !" p­n]osp­— ~mK†q²g Ñqv~v-Ò¼Õ~[]Š·º]pXr6· ´ []‡)‡‰W#€T]W&\#p”tu· ”| W#^{W&€T€sW&RTz#pC|+ š U?W&€4`bŠ‹S‹½#W&Y%ŠVS‹ÅbW&Š‹SVœT[:[gYM`~Ug† v]v.

(173) HAL author manuscript. UTz_[y`~„“œÈ˜8[]z/`~z{–sSV^az{`~z{SVŠVº„#W&€T\_[]z{W#Y@`~€TYÈ^az_RT€T„&`b^aW#Y¶Y4`K^“`sŒ/`~UsUTŠ‹SV„±`b^{S‹[]€*^{[M`~]W

(174) † \{U?W&„#S  „/SV€T„&SVYTW&€T„#W/[~˜ŽYsW&‡)W&€y^aS‹`sZSV[]‡)W#^az_S‹„#\&p Ï  p'²bwTpv(oy²-†av ~wT Ñqv(—]Òj*`~z_Q:RT`~z{Ys^&p­tu š €*`~ŠV][]z_SV^aœs‡ ˜8[~zŠ‹W±`b\_^_†®\{QJR4`~z_W&\<W&\q^aSV‡›`b^{S‹[]€›[~˜Ž€s[]€TŠ‹SV€g† W±`bzU4`~za`b‡‰W

(175) ^aW&z_\& f:c š jÕ~[~RTz{€4`bŠ”[~˜ š UTUTŠVS‹W#Y*j!`b^aœTW#‡›`K^aS‹„#\&p Ï­Ï p4wynsv

(176) †ˆw]wTv~ Ñqv±nyÒ”Ó f:RTŠ‹ŠVSVÆb`~€ƒ JÑqv ~o]oyÒXƒ­`~\q^C„&[]‡)UTRs^a`b^aSV[]€[~˜J˜8RTŠVŠVº¼`~Rs^{[]‡›`K^aW&YŠV[]b†®YTW&€T\_SV^ˆº `~€TY'ŠV[]b†®œ4`~½±`bz{Y*W#\_^{S‹‡‰`b^a[]z_\& fgc š j Õ~[]RTz_€4`~Š6[]€Âfg„&SVW&€y^aS  „`~€sYÂf:^“`b^{S‹\q^aS‹„&`~Š ´ []‡)UTRs^{S‹€TTp Ï " p sp­n]x~nK†eny‚ s. inserm-00262030, version 1. v-—.

(177) ³6`~–TŠ‹W"v]Œ+fgSV‡uRTŠ‹`b^aW#Y›`~€sYW&\_^{S‹‡‰`b^aW#Y›UTz_[]U?[]z_^{S‹[]€4`bŠ‹SV^ˆº1„&[]€s\_^“`b€J^{\S‹€)^aœTW\_W&‡)S·† U4`~z{`~‡)W#^az_S‹„‡)[:YTW&Š HAL author manuscript inserm-00262030, version 1. ¸ W gUFÑ #Ò v —g —]— — v] —]— n —g ‚]— w —g ‚]— ² v]•oy— . msŒ °W±`~Š·^aœyº. W

(178) gUFÑ &Ò —g ²~n v]·v±w —g•oy² —g•osv —g —~m 3. ²~m]m. y² ´ c W sUFÑ &Ò v~•wymp4wT ²  ]v    mg osvp v]•xy— ]v ·v-— —: m]np4wT•msv —g• n]o v~ ]op­ns y‚ —g ²]² v~•wyxp­ns•nsv v] ~w  . . . . . . .  . . 3. .  . . . . .  .     . .  . .

(179) . .   . wTŒ+tW&`~Y. . . . —gŒ.cˆ€T\q^aS·^. . . . . . . . . .   . nsŒ+tW&‡  ˆc €T\_^{SV^.

(180) . ƒŽSV]RTz{WÇv~Œ¬³œsW  Æ~W

(181) †®\_^“`K^aW‡‰[:YTW&Šk˜8[]zYTW&‡)W&€y^{S»`spSV€T\_^{SV^{Rs^aSV[]€4`~ŠVS‹½±`K^aS‹[~€Ã`~€sY YTW&`b^aœ” v(n. yw m]m~m ]² ´ c v] ~npTns m]— v]Vv~v)pv] n~o —g —~—p4—g o]— —g ²:v)pTns —Kw v] n]²pv] ~m. . . . &. .  . . . . v]ŒitW&‡)W&€y^{W&Y.  . —~m]m]m. y² ´ c. W gUFÑ #Ò v]•wy—p?—: ‚~o g— ‘wTv ms ~xp v~ ny— ]v  —bw —g mgv)p?—: osv —g ²~m —gVv(—p­ng m]o —g• oy² v] ²bnp?—:•wJ‚ v]• x]m.  . 3. . .    . . . . .

(182) HAL author manuscript. 0.35. 0.3. inserm-00262030, version 1. 0.25. 0.2. 0.15. 0.1. 0.05. 0 66. 68. 70. 72. 74. 76. 78. 80. 82. Žƒ SV]RTz{W—gŒ ´ []‡)U4`~z{SV\{[]€[b˜F^{œTW^aœTz_W&W–4`b\{W&ŠVS‹€TWW#\_^{S‹‡‰`b^aW#YÂѨYT[~^_^aW#YMŠVS‹€TW#\“Ò¹`~€sY \{SV‡uRTŠ‹`b^aW#Y Ñ8˜8RTŠVŠ¹Š‹SV€TW&\aÒ"S‹€y^aW#€T\{S·^aSVW&\&ŒRsUTUXW#z&Œ

(183) ± ‡‰SVYTYTŠVW~Œ

(184) - ¹ŠV[-Ä W&z#Œ  

(185) \a`b‡‰UTŠVW\{SV½&W~Œ —bm]m]ms. v±w.

(186)

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