1##   8')u$)Y)u#)? f >0@-@- >-_         _      ,Arial-!@!@!@!@ !@!@!@ #P@-#P#P>-#P@-#P@-#P`#P`#P #PZ# P># P># PR# P#P8#P8#P#P `P `P*v _Wv2?@  -11 1 1 1 1 1 1 1  1  1  1  1 1 1 1 1 1H\L\L\L\L\L\L\L\L\L\L\L\L\ L\!L\"L\#L\B BA@?>=<; : 9 8 7 654321 C1 TO C108(2 C11 TO C12(D#6Credibility#6Projection 'Appendix C 'Example of Section 7I'Table C.1 applies (5.10) for the case r=1 to the data of Table 7.2.^Table C.1 ^Summary statistics: means ^Experi-p ^Mean logged age to age factor from development year j to j+1 as measured at end of experience year at left ^ence ^development year j= ^year% % @% % % % @% % % % @% % % % @% % % %' C?" " " " " " "  "  "  "  "  " " " " " %' zH?' tc?' GZk?' ?' ;?" " " "  "  "  "  "  " " " " " %'  S!?' P?' 2vC#?' &|?' ڹX?" " "  "  "  "  "  " " " " " %' %b (?' D\?'  >?' S?' <Ӹ?' %B{" "  "  "  "  "  " " " " " %@' ݞ)j?' 82?' ?' {?' aҘ-?' 􈦧%T?' & 9>?"  "  "  "  "  " " " " " %' -К?' JO?' gޅԭ?' &7?' Q.?' u??' }رӔ' "I "  "  "  "  " " " " " %' xV6?' ̰ù?' *{?' Ft]5?' o)?'  V?' w32' Й ?a'  U@ Ά? "  "  "  " " " " " %' n[{ȧ7?'  ^_?' 1^?' w#Iz?' u|t?' HrV2?' e+' q-ڗ'  YqX?'  TazˤR "  "  " " " " " %@' Qo?' {!?' nm?' c(ߤ?' wl?' C3ޡ#?' AB*' ԝО$'  K~^?'  N\݋'  W켄 "  " " " " " %' X ^?' *XTR?' [/~/n?' bB?' &,S ?' ?' `d@r'  Ň'  nq#X'  *뉿'  rz b?'  #a6? " " " " " %' 1˹k?' HN+I?' &ʳ?' 3u?' \)?' g'?' ziz' 1WD'  7DE@c'  ഼'  c'  d ^'  X" " " " %' C?' 8 ?' ?' >gHū?' X-a?' ?' GxGq' _쐿'  [W'  nz'  uD'  C }~'  &HȻe' 4£iW" " " %@' r򢢿?' \&Yf+?' 1 .?' I>7?' +ӫ?' PX?' -lts' H!k'  G p'  ϣU'  ͔܀'  [y'  1~~' (m {P' ,u?" " %' ħ!?' 1f?' (?' G죻?'  aØը?' ֗ ^=?' vfBc' F*6'  iU'  Loa'  Sٍ|'  uG/z'  ,7v' >{r[' ,dDc?'  j%t?" %' aa?' ռΫ?' C ҿ?'  u?' ,EWJݨ?'  )?' *A' % K'  l'  ?*ttv'  ۃ^y'  %r{'  RC]d' Nf' ʉaG?' }py.m?' ۺwVuD|#'Table C.2 applies (5.14) to the data of Table 7.2. The bold cells are those for which only one observation X(i,j) is available, and hence (5.14) isP$'undefined. The entry in these cases is based on the value v1 (Table 7.3).'^Table C.26(^Summary statistics: unbiased standard deviations *^Experi-*^Standard deviation of logged age to age factor from development year j to j+1 as measured at end of experience year at left +^ence+^development year j= ,^year%,%,@%,%,%,%,@%,%,%, %, @%, %, %, %,@%,%,%,%.%.&." ." ." ." ." ." ." . " . " . " . " . " ." ." ." ." %/' / rt?%/0/" /" /" /" /" /" / " / " / " / " / " /" /" /" /" %0@' 0c<ڼ?' 0Ý?%0 0" 0" 0" 0" 0" 0 " 0 " 0 " 0 " 0 " 0" 0" 0" 0" %1' 1 I?' 1F5?' 15Ӽ7?%1L1" 1" 1" 1" 1 " 1 " 1 " 1 " 1 " 1" 1" 1" 1" %2' 2ލa?' 27JH?' 2b?' 2&l7?%2`2" 2" 2" 2 " 2 " 2 " 2 " 2 " 2" 2" 2" 2" %3' 31-^?' 3JNr?' 3$?' 3dcA*?' 3YtIhÍ?%33" 3" 3 " 3 " 3 " 3 " 3 " 3" 3" 3" 3" %4@' 4y-?' 4ɽ?' 4*1H?' 43@e?' 4 ¯?' 4 _?%44" 4 " 4 " 4 " 4 " 4 " 4" 4" 4" 4" %5' 5?' 58?' 5㚽?' 5R+%?' 5m*oU.?' 5j:?' 5]q8?' 5X$R?5 " 5 " 5 " 5 " 5 " 5" 5" 5" 5" %6' 6Hj2?' 6oSa`?' 6sx?' 6dgI?' 67r?' 6Z?' 6/7:3?' 6Lw?' 6 w'?6 " 6 " 6 " 6 " 6" 6" 6" 6" %7' 7>+{?' 7݆&7?' 7@+?' 7"{?' 7vi?' 7̽{+?' 7+-lr?' 7nwt?' 7 _U ?' 7 fI?7 " 7 " 7 " 7" 7" 7" 7" %8@' 8 ?' 8A*?' 8}&?' 8}?' 8Ɓ?' 8ؕ?' 8e}9?' 8 Vh?' 8 Bk'̃?' 8 ],^?' 8 amk?8 " 8 " 8" 8" 8" 8" %9' 9?' 9zJ?' 9B׷?' 9?' 9H}i?' 9+ 紽p?' 9t`?' 9A|Y?' 9 =Q?' 9 *)É?' 9 Mޑ?' 9 c߯x?9 " 9" 9" 9" 9" %:' :6?' :!?' :48ո?' :--t(?' :^#Ԩ?' :%> ?' :oxir?' :r&?' : 5Wz܂?' : B#σ?' : ʩ ?' : D?' : @`d?:" :" :" :" %;' ;q?' ;@*S?' ; j?' ;{b?' ;"]?' ;_v6?' ;A{yŐ?' ;YUؖ?' ; @ _?' ; FMo?' ; &??' ; -A?' ; 'v4?' ;͑( ?;" ;" ;" %<@' <p6?' <"?' < 6?' <τ?' <*ʴ%:?' <w?' <D !V?' <J)n?' < [ ?' < k?' < >?' < Mc?' < x|?' <GFzB?' <|tCa{?<" <" %=' ==P ;?' =L2?' =v#$?' =@B^ާ?' =?' =+ ء?' =5^*ِ?' ='?' = UV(Wψ?' = $wDÌ?' = kc,?' = d?' = 3n?' =kjlS?' =Op?' =d)iu?=" %>' > G?' >}`?' >u Nq?' >{2?' >4&f?' >v%?' >B2ZL/?' >jg7}?' > K@J?' > Twnz?' > e{*?' > S?' > gRD^?' >G mgc?' >٧p?' >m_?' >T?q?B'Table C.3 applies (5.16) to the parameters set out in Table 7.3. Note that it also draws on the credibility estimates in Table C.6.E^Table C.3F^Credibility factors z1 H^Experi-H^Credibility factor z1 for logged age to age factor from development year j to j+1 as measured at end of experience year at leftH'Count of data points I^enceI^development year j= J^year%J%J@%J%J%J%J@%J%J%J %J @%J %J %J %J@%J%J%J%L' LVUUUUU?L" L" L" L" L" L" L" L " L " L " L " L " L" L" L" L" %L@%L%L%L%L%L%L%L%L%L%L%L%L%L %L!%L"%L#%M' M;n?' MUUUUUU?M" M" M" M" M" M" M " M " M " M " M " M" M" M" M" %M%M@%M%M%M%M%M%M%M%M%M%M%M%M %M!%M"%M#%N@' N^c>*?' N}?' NUUUUUU?N" N" N" N" N" N " N " N " N " N " N" N" N" N" %N%N%N@%N%N%N%N%N%N%N%N%N%N%N %N!%N"%N#%O' Oܶ[?' Ok?' OF?' OUUUUUU?O" O" O" O" O " O " O " O " O " O" O" O" O" %O%O%O%O@%O%O%O%O%O%O%O%O%O%O %O!%O"%O#%P' PVXi_?' P|s?' P`??' V*Ԃ?' VGI"V?' V5ok?' VHlSq?' VbI?' V71F?' V #xu?' V 4QH?' V UUUUUU?V " V " V" V" V" V" %V%V%V@%V%V%V%V@%V%V%V%V@%V%V%V %V!%V"%V#%W' Wi&?' Wpn,?' WW{?' W)>?' W՘w?' W`B!'?' Wȸ ?' WTЖ?' W hJ[V?' W '/*?' W p"[?' W UUUUUU?W " W" W" W" W" %W%W%W%W@%W%W%W%W@%W%W%W%W@%W%W %W!%W"%W#%X' XUօl?' XI)?' X9ƞy?' XnpN(?' XX~q?' X?' XOo?' XkFH?' X in?' X yg|g?' X 1Qr~?' X QV?' X UUUUUU?X" X" X" X" %X@%X%X%X%X@%X%X%X%X@%X%X%X%X@%X %X!%X"%X#%Y' YY}?' YJU ?' YIb{?' Y)7 r?' Y1ci?' Y?' YзJ?' Y?' Y .>M?' Y .?' Y i?' Y s >?' Y LI?' YUUUUUU?Y" Y" Y" %Y%Y@%Y%Y%Y%Y@%Y%Y%Y%Y@%Y%Y%Y%Y @%Y!%Y"%Y#%Z@' ZU1 X?' Z%??' ZjZ:z?' Z N%|@?' Z+?' ZFww?' Z*?' Z2P?' Z p?' Z ܑT?' Z .?' Z fS2?' Z ^ %?' Za٦?' ZVUUUUU?Z" Z" %Z%Z%Z@%Z%Z%Z%Z@%Z%Z%Z%Z@%Z%Z%Z %Z!@%Z"%Z#%[' [(?' [q?' [&H?' [ ?' [׿R ?' [<=?' [`>a_?' [!)?' [ tvK?' [ aԵ?' [ ć9?' [ $m2S?' [ \Jy?' [(+?' [B?' [VUUUUU?[" %[%[%[%[@%[%[%[%[@%[%[%[%[@%[%[ %[!%["@%[#%\' \T@Y?' \Ss?' \|S?' \,c?' \!U?' \h ?' \L"=?' \(TH`?' \ 0u0T?' \ x WG?' \ 0s\W?' \ ꒬Z?' \ ?' \;u.ʲ?' \j6=*4?' \Q`,^F?' \UUUUUU?%\@%\%\%\%\@%\%\%\%\@%\%\%\%\@%\ %\!%\"%\#@G`'Table C.4 applies (5.13) to the parameters set out in Table 7.3.c^Table C.4d^Credibility factors z2 f^Experi-f^Credibility factor z2 for logged age to age factor from development year j to j+1 as measured at end of experience year at left g^enceg^development year j= h^year%h%h@%h%h%h%h@%h%h%h %h @%h %h %h %h@%h%h%h%j' jVUUUUU?j" j" j" j" j" j" j" j " j " j " j " j " j" j" j" j" %k' k$I$I?' kVUUUUU?k" k" k" k" k" k" k " k " k " k " k " k" k" k" k" %l@%l]' l$I$I?' lVUUUUU?l" l" l" l" l" l " l " l " l " l " l" l" l" l" %m' mqq?%m]' m$I$I?' mVUUUUU?m" m" m" m" m " m " m " m " m " m" m" m" m" %n%nQ' nqq?%n]' n$I$I?' nVUUUUU?n" n" n" n " n " n " n " n " n" n" n" n" %o' ouE]t?%oQ' oqq?%o]' o$I$I?' oVUUUUU?o" o" o " o " o " o " o " o" o" o" o" %p@' p?' puE]t?%pQ' pqq?%p]' p$I$I?' pVUUUUU?p" p " p " p " p " p " p" p" p" p" %q' q;;?' q?' quE]t?%qQ' qqq?%q]' q$I$I?' qVUUUUU?q " q " q " q " q " q" q" q" q" %r' r%I$I?' r;;?' r?' ruE]t?%rQ' rqq?%r]' r$I$I?' r VUUUUU?r " r " r " r " r" r" r" r" %s' sUUUUUU?' s%I$I?' s;;?' s?' suE]t?%sQ' sqq?%s]' s $I$I?' s VUUUUU?s " s " s " s" s" s" s" %t@%tԶ' tUUUUUU?' t%I$I?' t;;?' t?' tuE]t?%tQ' tqq?%t ]' t $I$I?' t VUUUUU?t " t " t" t" t" t" %u' u?%uԶ' uUUUUUU?' u%I$I?' u;;?' u?' uuE]t?%uQ' u qq?%u ]' u $I$I?' u VUUUUU?u " u" u" u" u" %v' vqq?' v?%vԶ' vUUUUUU?' v%I$I?' v;;?' v?' vuE]t?%v Q' v qq?%v ]' v $I$I?' v VUUUUU?v" v" v" v" %w' wDy 5?' wqq?' w?%wԶ' wUUUUUU?' w%I$I?' w;;?' w?' w uE]t?%w Q' w qq?%w ]' w $I$I?' wVUUUUU?w" w" w" %x@%x' xDy 5?' xqq?' x?%xԶ' xUUUUUU?' x%I$I?' x;;?' x ?' x uE]t?%x Q' x qq?%x ]' x$I$I?' xVUUUUU?x" x" %y' yaa?%y' yDy 5?' yqq?' y?%yԶ' yUUUUUU?' y%I$I?' y ;;?' y ?' y uE]t?%y Q' y qq?%y]' y$I$I?' yVUUUUU?y" %z' z袋.?' zaa?%z' zDy 5?' zqq?' z?%zԶ' zUUUUUU?' z %I$I?' z ;;?' z ?' z uE]t?%z Q' zqq?%z]' z$I$I?' zVUUUUU?~'Tables C.5 and C.6 apply (5.8) for r=1,2, respectively, taking into account the parameters set out in Table 7.3 and the results of Tables C.1 to C.4.^Table C.50^Credibility estimates of parameters: means ^Experi-^Credibility estimate of mean logged age to age factor from development year j to j+1 as measured at end of experience year at left ^ence^development year j= ^year%%@%%%%@%%% % @% % % %@%%%%' QT?" " " " " " "  "  "  "  "  " " " " " %' ^Ĕ{?' E-u'T?" " " " " "  "  "  "  "  " " " " " %@'  $?' {D*?' 4x?" " " " "  "  "  "  "  " " " " " %' 8у?' B?' {u?' ?" " " "  "  "  "  "  " " " " " %' #k2?' w?' xZ/@?' ™FD?' [VH?" " "  "  "  "  "  " " " " " %' :{?' N?' m6c?' n\?' o?' aL?" "  "  "  "  "  " " " " " %@' p ?' ;"?' qg?'  ?' "?' 8V?' 28MS(5' elI "  "  "  "  " " " " " %' j?' d?' z,g?ŵ?' lK?' Oq?' z;{،ڎ?' _:Z' b-' hn? "  "  "  " " " " " %' >[/?' 'lI?' QMnѴ?' W"A?' vK?' F_h?' I}~' X4' arK8K?' Ɓ8 "  "  " " " " " %@' + ?' Zs?' ?' -Si?' o?' '?' @7z' W' L@U?' w|' !uԐk "  " " " " " %' * ?' |{ ??' ^⽮?' h{?' u?' x)hU?' #o' qwaё' -oBmR' %' 'Q?' Ԅ? " " " " " %' k<:?' hSYTS?'  Y?' n?' 'e,?' z%z'?' Bw'  J' !\g_' 3Wۈ' E z' ldf6y' FkI Z@" " " " %' cP??' KbMa?' 2=?' %#˜?' w?' \;6#xi?' \ Nn' M1' )8̂S' 5 ' .xx' US~VQl' nr)g?Uv' 4FXڌ?" " " %@' pt;?' e ej?' \?' \ د?' ѲN =?' ^CB͐?' q' x,W ' j@l' VW}' QWs'  ?m' 6W.n' +nS+C' ` \?" " %' ή?'  \c?' ct`8?' Xn?' 3j?' MQB(?' g6b' 3Ԉ' ˜R' fhV3' 2Tjpr' J@Ѻq' #۷~k' 0>PNS' Ѫ("U?' 0b5vZ?" %' {?' SW?' pǪ?' 6Cg?' E󕷀٧?' ţ1?' mW@' ,' o%Ki' `P{r' ']D r' :>t' %[pS[' ma' t?9??' IO`?' <'9Nb^Table C.6>^Credibility estimates of parameters: standard deviations ^Experi-^Credibility estimate of s.d. of logged age to age factors from development year j to j+1 as measured at end of experience year at left ^ence^development year j= ^year%%@%%%%@%%% % @% % % %@%%%%%&" " " " " " "  "  "  "  "  " " " " " %' d o?%0" " " " " "  "  "  "  "  " " " " " %@' \=޼?' ?% " " " " "  "  "  "  "  " " " " " %' y؃?' hҴ?' U(?%L" " " "  "  "  "  "  " " " " " %' (N??' 80 Z?' `Ѡ?' 2嵪?%`" " "  "  "  "  "  " " " " " %' wj?' D' ?' @q?' \?' IElj?%" "  "  "  "  "  " " " " " %@' 3 I?' 3 "۾?' f(E?' '?' *o;կ?' l?%"  "  "  "  "  " " " " " %' Ṻ?' iF8ש?' v w3P?' a囘?' -\P ?' ۯ/?' ﯢ?' X$R? "  "  "  "  " " " " " %' 4g?' ftz?' ƽK)?' y/8?' ?' 2 F^?' )$w?' =1Û?' w'? "  "  "  " " " " " %' ۬l?' bQ/?' _?' i[Э?'  NNc?' q-$?' "g?' ,I?' ;%\L?' fI? "  "  " " " " " %@' pi_E?' ;[?' PD ?' ~=c?' /CV?' ۈ%?'  V%?' S﬚?' W)?' {x?' amk? "  " " " " " %' V??' QLJľ?' i;3?'  L?' =#?' 2d&?'  }=?' .b揂?' 0$w?' F8M?' oĆY ?' c߯x? " " " " " %' V*?' yO4?' jZ۸?' &.ѫ?' I⣍?'  [g?' /a.?' *g]?' ס?' P?' 훈Ș?' ۘz{?' @`d?" " " " %' Te}v?' q+3?' Xsջ?' @gR ?' m|'?' =o<?' 5?' {x[?' "mø?' ?' F(d ?' 5[P?' e%vʉ?' ͑( ?" " " %@' ,?' Wc Xc?' fJ¹?' ue?'  *小?' p&l?' yzr|?' #IP?' Pɬ?' ʰ^ʐ?' 2&u5'?' w ?' v9?' t6l|?' |tCa{?" " %' ;t9?' va?'  ?' ٭2?' 8[1?' eA?' ğG?' (ҖL?' 7?' r2Yd?' UL?' ?' -JC?' q8{?' v/x?' d)iu?" %' 5?' ܁m?' u?' ,a?' ?' ҁ?' o+?' (NS?' ӐK ?' =}?' SL?' Oi".?' L#I?' vQz?' DZcw?' w)r?' T?q?'Table C.7 repeats the credibility estimates of Table C.5 as forecasts of future age-to-age factors, based on data up to the end of the development'year shown.'The bold cells are those in which forecasts need to be made with no data. Consider experience year 1981, for example, at the end of which'accident years 1978 to1981 will have been observed over various development years, ranging up to 3. Hence, there are no data for forecastsd'beyond the case j=2 in the table. These cells adopt the prior means (Table 7.3) as forecasts.^Table C.71^Credibility forecasts of age-to-age factors ^Experi-^Credibility forecast of logged age to age factor from development year j to j+1 as measured at end of experience year at left ^ence^development year j= ^year%%@%%%%@%%% % @% % % %@%%%%' QT?%%Q%R%%%%% % % % % %%%%%' ^Ĕ{?' E-u'T?%Q%R%%%%% % % % % %%%%%@'  $?' {D*?' 4x?%R%%%%% % % % % %%%%%' 8у?' B?' {u?' ?%%%%% % % % % %%%%%' #k2?' w?' xZ/@?' ™FD?' [VH?%%%% % % % % %%%%%' :{?' N?' m6c?' n\?' o?' aL?%%% % % % % %%%%%@' p ?' ;"?' qg?'  ?' "?' 8V?' 28MS(5' elI% % % % % %%%%%' j?' d?' z,g?ŵ?' lK?' Oq?' z;{،ڎ?' _:Z' b-' hn?% % % % %%%%%' >[/?' 'lI?' QMnѴ?' W"A?' vK?' F_h?' I}~' X4' arK8K?' Ɓ8% % % %%%%%@' + ?' Zs?' ?' -Si?' o?' '?' @7z' W' L@U?' w|' !uԐk% % %%%%%' * ?' |{ ??' ^⽮?' h{?' u?' x)hU?' #o' qwaё' -oBmR' %' 'Q?' Ԅ?% %%%%%' k<:?' hSYTS?'  Y?' n?' 'e,?' z%z'?' Bw'  J' !\g_' 3Wۈ' E z' ldf6y' FkI Z@%%%%%' cP??' KbMa?' 2=?' %#˜?' w?' \;6#xi?' \ Nn' M1' )8̂S' 5 ' .xx' US~VQl' nr)g?Uv' 4FXڌ?%%%%@' pt;?' e ej?' \?' \ د?' ѲN =?' ^CB͐?' q' x,W ' j@l' VW}' QWs'  ?m' 6W.n' +nS+C' ` \?%%%' ή?'  \c?' ct`8?' Xn?' 3j?' MQB(?' g6b' 3Ԉ' ˜R' fhV3' 2Tjpr' J@Ѻq' #۷~k' 0>PNS' Ѫ("U?' 0b5vZ?%%' {?' SW?' pǪ?' 6Cg?' E󕷀٧?' ţ1?' mW@' ,' o%Ki' `P{r' ']D r' :>t' %[pS[' ma' t?9??' IO`?' <'9Nb'Table C.8 uses (5.23) to calculate the RMSEP associated with Table C.7. Again, the bold cells adopt prior estimates, as given by (5.22) with z1=0.^Table C.8:^RMSEP of credibility forecasts of age-to-age factors ^Experi-t^MSEP of logged age to age factor from development year j to j+1 as measured at end of experience year at left ^ence^development year j= ^year%%@%%%%@%%% % @% % % %@%%%%' 8/Bw?' r?' aQ*?'  f?' q*:?' pC;?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' .ع?' `ǿ?' aQ*?'  f?' q*:?' pC;?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%@' uX4?' \_5?' hE f?'  f?' q*:?' pC;?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' (v?' wl.?' ?; ?' T=I?' q*:?' pC;?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' P ?' L⢤?' q"?' )6 ?' iUng?' pC;?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' )-?' ,B?' 6>YM?' m,?' L?' .v"Jr?' '5is?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%@' w?' P.^?'  ǽ?' k$%_]?' @&o?' X?' &}?' S8!)?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' aX?' 8L?' !b@2'?' *6*?'  =L,S?' yt?' @6?' `]آ?' u?' 4?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' Q"?' ?' %x.?' 5yͧ?' DyM5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' 0Bx?' a;=I?' :~I?' ?2?' <a?' T~Gȧ?' 6[s+?' p8 ?' YAW?' ;]?' w?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%@' X?'  "?' 2?' 5N2?' Q ?' V?' +fɠ?' L f?' V_ۗ?' >)?' KL?' >5__?' eh1*3?' %[?' Ā?' #z?' "ivu?%' g6f?' F`X?'  N2?' ߙk3?' yLpt?' aԫV?'  Jy&?' (]{?' .kO՚?' Re8?' p?' xk4x?' eh1*3?' %[?' Ā?' #z?' "ivu?%' t$?' ns?' D箳˹?'  n%?' pڲ֬?' $C,p?' vR?' )2Г?' hF,?' By?' N-h?' +'Ϟ?' -}"]?' %[?' Ā?' #z?' "ivu?%' wJ ?' &e?' of~?' ]ئ?' v `?' !%`?' $f ?' ŀ6s?' NY ?' P%W ?' x?' 03:?' mtP L?' Jƒ?' Ā?' #z?' "ivu?%@' Ś?' ݰA ?' :I?' Bp?' f ?' u.-[?' Xל?' I7?' 罈R͓?' Z!?' k?' %4u~1?' QN-?' nDs?' /D-?' #z?' "ivu?%' ݯ-?' gih?' &ι?' 7?' ̞7?' kAa]?' 6?' :.1ɚ?' d,?' nf?' 66p?' U؏?' J ?' 7>~?' ۄ+ |?' &iWKy?' "ivu?%' G)j?' @uؗ?' u E?' OO?' {>H ?' d>-?' ZB?' Se?' ?' 4Rw?' kI"?' :L؍?' 4?' p|?' *gpz?' ;4u?' ݄E?' B퀿' D'yE' I[L'  T8*=?'  Ɓ8%  %  %  % % % % % @' B?' q"?' ?<2?'  8?' ·9p?' F?' C֎B' g38Ϛ'  PG'  B ]'  !uԐk%  %  % % % % % ' |!~/?' g}r?' Ļ?' W]?' vt?' t2[' ař' wjΕ'  }"N '  .>_c}'  1@`S?'  Ԅ?%  % % % % %' ͭ옐`?' ; ?' Bl ?' '?' e;s?' h2*' CI' ޥz'  )'  Oƙ'  T|'  3B{'  FkI Z@%%%%%' m]?' .?' <?' M?' xX?' a'  9' HKפ'  "D𕛿'  t_ ['  H'Kvڬ'  >G:'  4HMx' 4FXڌ?%%%%@' SL?' -l ?' ݆s) ?' M8?' R4+ 3?' P1rtG' [( ' pJ̣'  h'  |{NՑ'  إ'  5Y}y'  c,Le' JSR?' ` \?%%%' h?' ^=e p?' 㦿|?' 5b?' ]B?' 6Y1' 6' $N9'  걸X'  ol'  tuHA'  ¶&x'  uYU]MZ' ]f\?'  }[g?' 0b5vZ?%%' h2j?' rQ¬?' {?' -LY?' -,?' _EPe' :^' F0׃'  INE!'  DD呿'  1n/a'  Gc?['  ]m' -jg_'  G;+?' o1' <'9Nb'Table C.10 combines the RMSEP of Table C.8, making use of the assumption of stochastic independence between the observations of different.'development years.^Table C.10?^RMSEP of credibility forecasts of age-to-ultimate factors ^Experi-z^RMSEP of logged age to ultimate factor from end of development year j as measured at end of experience year at left ^ence^development year j= ^year%%@%%%%@%%% % @% % % %@%%%%!' !]>ks?' !,NI?' !~ f?' !ڡ<~hP?' !p>?' !W7?' !CFu?' !Vq?' ! %i?' ! K?' ! d?' ! ALV?' ! Ɨ/?' !vHޏ?' !@r?' !-?' !"ivu?%"' "q?' "Yr?' "~ f?' "ڡ<~hP?' "p>?' "W7?' "CFu?' "Vq?' " %i?' " K?' " d?' " ALV?' " Ɨ/?' "vHޏ?' "@r?' "-?' ""ivu?%#@' #~/y{?' #*?' #/r:?' #ڡ<~hP?' #p>?' #W7?' #CFu?' #Vq?' # %i?' # K?' # d?' # ALV?' # Ɨ/?' #vHޏ?' #@r?' #-?' #"ivu?%$' $l=?' $?' $u??' $*J"?' $p>?' $W7?' $CFu?' $Vq?' $ %i?' $ K?' $ d?' $ ALV?' $ Ɨ/?' $vHޏ?' $@r?' $-?' $"ivu?%%' %@-?' %iÝ?' %d:l?' %U#?' %ד ӿ?' %W7?' %CFu?' %Vq?' % %i?' % K?' % d?' % ALV?' % Ɨ/?' %vHޏ?' %@r?' %-?' %"ivu?%&' &J??' &}Q?' &4gsv#?' & փ?' & x6V?' &b Fp?' &CFu?' &Vq?' & %i?' & K?' & d?' & ALV?' & Ɨ/?' &vHޏ?' &@r?' &-?' &"ivu?%'@' '7aP?' '9(۸?' *\٪?' *iج?' * y7io?' *  ?' * d?' * ALV?' * Ɨ/?' *vHޏ?' *@r?' *-?' *"ivu?%+@' +ّsQ?' +)c?' +%a7?' +E(=?' +o[ܸ?' +qi?' + ?' +ASW?' + :8|(?' + i{٣?' + bDS?' + ALV?' + Ɨ/?' +vHޏ?' +@r?' +-?' +"ivu?%,' ,vo?' ,w?' ,;T?' ,Mo ?' ,drͷ?' ,?' ,I?' ,Q-zO?' , t?' , TA?' , h?' , XÙ?' , Ɨ/?' ,vHޏ?' ,@r?' ,-?' ,"ivu?%-' -fˆ?' -:M[?' -yqB?' -C|=iֻ?' -~ڷ@?' -38|޲?' -3b~?' -'t?' -  'ݧ?' - c?' - U- ?' - ]5Ӕq?' - x )?' -vHޏ?' -@r?' --?' -"ivu?%.' .QNI?' . ?' .ĚZ?' .I]ݻ?' . ~h?' .odas?' .6Ldu=?' .u 9b?' . 3X@?' . 㒯?' . l?' . UCꉃD?' . 9S?' .#p?' .@r?' .-?' ."ivu?%/@' /O?' /"0!?' /cia^?' /˧l)?' /$4Q?' /r9?' /D*ѭ?' /*R*?' / s%l]?' / aVȣ?' / z-?' / T8'c?' / 8A#?' /5?' /VX?' /-?' /"ivu?%0' 0LQs?' 0 %?' 0~?' 0S5?' 0)m?' 0p?' 0@ ?' 030?' 0 c@T?' 0 Bݢ?' 0 |[x?' 0 [Eu?' 0 F1 ?' 0mmw?' 0s?' 0;h|T*?' 0"ivu?%1' 1-2w"^?' 1Eɉlw?' 1QN?' 18=:m?' 11yѶ?' 1bn?' 1^uy?' 1j,˨?' 1 k0?' 1 a%4?' 1 HO?' 1 7N?' 1 U?' 1LX|?' 1X҃?' 1e}?' 1݄E`%@' J^%@'  ߽lg%@'  n"]%@%' #$@' I*$@' 4oȲ$@' $@' DI(.'%@' ++2YI%@' vq4X%@'  VLY%@%' pa$@' }9_$@' C$@' 93_$@' z> %@' @$@' $`%@' n%%@%@' Xݮ+$@' IeȄ$@' [%@' S}qI%@' v%@' v>h%@' ހb%@% ' X{]0z$@' ؛9$@' *%@' *Gց%@'  %@' Y2%@%!' !!YN%@' !$%@' !j0B%@' !U9GQ%@' !ٶP%@%"' "υ寣4%@' "U*Uv%@' ",Rw%@' "_%@%#@' #Jz%@' #TbHU%@' #& jVQ%@%$' $ *%@' $[T%@%%' %,2%$@)^Table C.12>*^RMSEP of credibility forecasts of logged incurred claims,^AccidentZ,^RMSEP of credibility forecast of logged incurred claims at end of development year j -^year-^development year j=%.%.@%.%.%.%.@%.%.%. %. @%. %. %. %.@%.%.%.%.@ /^$000 /^$000 /^$000 /^$000 /^$000 /^$000 /^$000 /^$000 / ^$000 / ^$000 / ^$000 / ^$000 / ^$000 /^$000 /^$000 /^$000 /^$000 /^$000%1' 1F'?' 1,NI?' 1~ f?' 1ڡ<~hP?' 1p>?' 1W7?' 1CFu?' 1Vq?' 1 %i?' 1 K?' 1 d?' 1 ALV?' 1 Ɨ/?' 1vHޏ?' 1@r?' 1-?' 1"ivu?%1%2' 2]>ks?' 2Yr?' 2/r:?' 2*J"?' 2ד ӿ?' 2b Fp?' 2~R?' 2w8?' 2 k_ީ?' 2  ?' 2 bDS?' 2 XÙ?' 2 x )?' 2#p?' 2VX?' 2;h|T*?' 2݄E(۸?' 6 ?' 6Q-zO?' 6  'ݧ?' 6 㒯?' 6 z-?' 6 [Eu?' 6 U?%7' 7J??' 79' >fˆ?' > ?' >cia^?' >S5?' >1yѶ?%?' ?QNI?' ?"0!?' ?~?' ?8=:m?%@@' @O?' @ %?' @QN?%A' ALQs?' 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