Introduction to MCMC * Petros Dellaportas and Gareth O. Roberts ...
Introduction to MCMC * Petros Dellaportas and Gareth O. Roberts ...
Introduction to MCMC * Petros Dellaportas and Gareth O. Roberts ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
¤Ä¤¨Vª¢«Ê¢_¬žM¥.«f¨Vªa¬c®ž¼a«Ñ«f¡a¢²0¨Ÿ§f§Ê¨Vªa¬=y¥.«f¥yÛZ®.ÐÑ¢-Ꞣ_Ñ«Ê¡a¨©§†¨Ÿ§]݀ʢ92¼y¢-ª¢«Ê±Ÿ¦·¨©É=¹¼a±V«Ä¨Vݦªa®ž«]¨V²0¯/®§f§T¨Ÿ°a±Ÿ¢³«Ê®·®yZ †¡a¢,±Ÿ¨ŸÒž¢-±Ÿ¨Ÿ¡a®{®{¤®qÝy«Ê¡a¢]a¥q«f¥²c¨Ÿ¬ž¡¢«ªa®ž«¦«ff¥¹X«M¥q°a±Ÿ¢IÝ€®3§Ê®ž²0¢ÑÊ¢!¥ž§Ê®žâ )wÝ€®ž3¨Ÿªy§T«f¥qª+¹¢†¥t§Ê¨Ÿ²cȳ±V¢†¹®ª.»k¼a¬¥q«Ê¢Ñāf¨V®Š·ÄÄÄ–¤Î …¤‡„у]‡ „†…+ -·¥žªyÐѢġy¥@ê¢Ä°y¥§T¢!c«Ê¡a¢³§T¼y°y§T¢92¢¼a¢-ª¢«Ñ¥žªy¥q±Ÿ¦·§T¨©§I®ªÝ€®žf¢;-¢ÐѢġy¥@ꢷ¢_±V¢-«Ê¢_«Ê¡a¢4yM§k«t‚@¤;¤ê@¥ž±V¼y¢_§1)€°a¼afª8¨)¨VªC¯+¢_ʨŸ®·Ý€f¢@2¢¼a¢_ªy¹¦=ȳ±V®ž«Z®qݨ«f¡a¢¯/®§T«Ê¢-f¨Ÿ®žZ·¨©§k«fʨŸ°a¼·«f¨V®ªC®žÝ’%¨©§]¬ž¨Ÿêž¢_ªC¨Ÿª k ¨Ÿ¬ž¼af¢¿a«Ê¡y¢Ê¢_²0¥ž¨Vªy¨Vªa¬‚9¤;¤;¤Â¯+®¨Vª¢«M§-IÏp(k)0.0 0.05 0.10 0.15 0.20 0.25• –354045kk ¨Ÿ¬ž¼yÊ¢¿aÈ k Ê¢92¢¼a¢-ªy¹-¦=ā±Ÿ®q«Z®žÝ¦¹M¡y¥žªa¬ž¢_¯+®¨Vª¢«]ȳ¥qM¥q²0¢-«Ê¢-—%«Ê¡a¢°+¥ž§Ê¨Ÿ§³®žÝ,«f¡a¨Ÿ§Â¢_§T«Ê¨Ÿ²¥.«Ê¢¥- ¨V«¤¨Ÿ§Â¥q±Ÿ²c®¢§k«Â¹-¢-Ê«f¥ž¨VªF«Ê¡y¥q«Â¥Ù¹M¡y¥qªy¬ž¢-¯/®ž¨Ÿª¢«¡y¥ž§³®·¹-¹-¼afÊ¢!-¨Ð]¨V«Ê¡ «Ê¡y¢=¯+®¢§k«f¢-f¨V®îª´+‚;-a¹®Êf¢_§Ê¯/®žªy·¨Ÿªa¬¤«Ê®¥0¹M¡y¥qªy¬ž¢-¯/®ž¨Ÿª¢«Z¥.«†«Ê¡a¢¦¢_¥žt‚!מÎy‚ž—³¢-fªa¢-±º·¢_ªy§Ê¨¸«k¦=¢!§k«f¨V²¥q«Ê¢_§²0®··¢¢_§T«Ê¨Ÿ²¥.«Ê¢³°/¢-¨Ÿªa¬§%5o®qÝO«Ê¡a¢³¯/®§T«Ê¢_ʨŸ®ž†·¨©§k«fʨŸ°a¼·«f¨V®ªy§Ñ®qÝ£q0¥qª+‘(Ù¥žÊ¢¬ž¨Ÿêž¢-ªC¨Vª k ¨V¬¼af¢´+¦û)«]¨©§]¹±Ÿ¢_¥ž?Ý€f®ž²k ¨Ÿ¬ž¼af¢t´Â«f¡y¥.«˜(쨩§1)R¥q±Ÿ²0®§T«¹¢_T«M¥q¨Ÿªa±Ÿ¦ + ±V¢!§Ê§I«Ê¡y¥žª"qaIÏĪ=¨V²0¯/®žÊ«f¥žª«,Ý€¢_¥q«Ê¼af¢Ä®žÝí«Ê¡a¢³Át¨V°a°+§Ñ§f¥q²0ā±Ÿ¢-1)j¥§,¥žª¢¦0ØÙ®ª«f¢ µ ¥žÊ±Ÿ® + ¥žāāf®¥¹M¡c¨©§?«Ê¡y¥q«Ð]¨V«Ê¡¤¥ž±V²0®¢§k«¨ªy®Ä¢Ç{«ff¥]¢7./®T«9-@«Ê¡a¨©§¨Ý€¢_¥.«f¼af¢,¹-¥žª¤°/¢?¢Ça¥ž²c¨Ÿªa¢!¤·¨ŸÊ¢!¹X«Ê±Ÿ¦³°{¦t±Ÿ®{®žÒ{¨Ÿªa¬Ä¥.«O«Ê¡a¢Ñ§T¢92¢¼a¢-ªy¹-¢?®žÝaÊ¢!¥q±Ÿ¨Ÿ§f¥.«f¨V®ªy§®qÝV)q( +Ð]¡a¨Ÿ¹M¡Ê¢_āÊ¢!§T¢_ª¢«,¥Â§f¥q²0ā±Ÿ¢ZÝ€f®ž² «Ê¡y¢¯/®§T«Ê¢_ʨŸ®ž,²0¥žÊ¬¨Vª+¥q±+a¨Ÿ§T«Êf¨V°y¼·«Ê¨Ÿ®žªC®qݧq(C¬ž¨Ÿêž¢-ª l?’Z®ž«Ê¢«Ê¡y¥q«§Ê¨Vªy¹-¢ÐÑ¢³¥qf¢ÄÐÑ®žfÒ¢¨Ÿªa¬Âa¨Vf¢_¹«Ê±Ÿ¦®žª=«f¡a¢³§Ê¥ž²cȳ±V¢¥-«f¡a¢-f¢t¨Ÿ§Ñªa®cªa¢-¢!Ý€®Ñ¥žª¢¦=¹-®ž²0ā±Ÿ¨Ÿ¹_¥.«f¢_0«ff¥žªy§kÝ€®Ê²¥q«Ê¨Ÿ®žª«f¡a¢-®Ê¦Ï9Òž¢_ʪy¢-±º·¢_ªy§T¨V«k¦=¢!§k«f¨V²¥.«f¢®qÝ¡‚a)rq(D}?l + āÊ®··¼+¹¢_C¨ŸªC«f¡a¨©§]ÐÑ¥@¦¨Ÿ§]§Ê¡a®.Ð]ªì¨Vª k ¨V¬¼af¢¾aK(L©š›T¡]8TpT(°:_^j Q£[V]8T¡]bYdcV[Ët¥.«f¥¤¥q¼a¬²0¢-ª¢«f¥q«Ê¨Ÿ®žª=¨©§,¥Â«Ê¢!¹M¡aªa¨32¢¼a¢ÄÐ]¡a¨©¹M¡C¹_¥qª=°/¢«Ê¡a®¼a¬ž¡¢«,®žÝO¥ž§Ñ¥Â§Ê¯/¢_¹¨©¥q±$¹-¥§T¢®qÝí«f¡a¢³Át¨Ÿ°a°y§†§f¥q²0ā±Ÿ¢-!3û)«Ñ¹-¥žª°/¢¤¥qāā±Ÿ¨Ÿ¢_ì¢@2¢¼y¥ž±V±Ÿ¦=ÐÑ¢-±Ÿ±$«Ê®c«Ê¡a¢³Ý€®±V±Ÿ®.Ð]¨Ÿªa¬c«kÐ,®§Ê¨¸«f¼y¥.«f¨V®ªy§-āf®ž°a±Ÿ¢-²§0«f¡y¥.«¥…œ¨Ÿ¹«f§=§T«f¥q«Ê¨©§k«f¨Ÿ¹_¥q±Ä¹-®ž²0ā¼·«f¨Vªa¬Ó¨©§0«f¡y¥.«=¨Ÿª «Ê¡a¢Ùf¢_¥ž±ZÐÑ®žf±Ÿ-†§Ê®ž²0¢®qÝ‚îªa¢®qݳ«Ê¡a¢Ù²¥ž¨Vªûmªö«Ê¡y¢-®žf¦ «Ê¡a¢Ù·¨©§T«Êf¨V°a¼a«Ê¨Ÿ®žª ®žÝZ«Ê¡y¢ì®°y§Ê¢-fꞢ_Óy¥.«f¥ ¹-¥žª °/¢C®°·«f¥ž¨Vªy¢_ö°{¦«Ê¡a¢a¥.«M¥F¹-®ž¼a±©ö°/¢ì²c¨©§f§T¨Ÿªa¬y+ -·°a¼·«Ä¹®ªy·¨V«Ê¨Ÿ®žªy¥ž±í®žª¥¹®±V±Ÿ¢_¹«Ê¨Ÿ®žªì®qÝ3¼aªa®ž°+§T¢_Êê¢_y¥.«f¥¤«f¡a¢±V¨ŸÒž¢_±V¨Ÿ¡a®{®·°/¢_¹-®ž²0¢_§²c¨Ÿ¬ž¡¢«]ªa®ž«Z°+¢¤¥@ê.¥q¨Ÿ±©¥q°a±Ÿ¢¢_¥ž§Ê¦0«Ê®¡+¥qªy·±Ÿ¢žB ¢Ð]¨V±Ÿ±º¨Ÿ±V±Ÿ¼y§T«ÊM¥.«Ê¢t«f¡a¢_§Ê¢³«kÐ,®0§Ê¨¸«f¼y¥.«f¨V®ªy§]¼y§Ê¨Vªy¬0§Ê¨Ÿ²cȳ±V¢¢-Ç·¥ž²0ā±V¢!§-‚ÄÃ{¼aā¯/®§Ê¢¤·œâv,· t v@y7y7y@v,·š¸¨©§]¥¤«Ê¨Ÿ²0¢¤§T¢_ʨŸ¢_§†®žÝO®ž°+§T¢_Êê.¥.«f¨V®ªy§†·¢64+ªa¢_ì°{¦·Gâo¢¤0¥žªy=Ý€®]¢_¥¹M¡F‚¤Öì×VÖ Ã} ·Gâ¥v§· t v7y@y7y,·£ t Ñ¢·£ t € ¹ žS-J)qbvMq + v ) Š ‚ +