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·ÄIJŠ¢¤£ G¥¤ƒ]‡ ƒ+¥G¦ ;(u£ ¦Oˆ ( ˆ,…¤‡:¥Z‡ „†… Š ÔÐ]¡a¨©¹M¡ö¯/¢-f²c¨V«f§c¬®¢®·Ó¹-®žª{Ꞣ_ʬ¢-ªy¹-¢Ð]¡a¢-ªa¢_Ꞣ_«f¡a¢²0¢_¥§T¼yÊ¢_²c¢_ª¢«¤¢-ff®ž¤¨©§¤¹-®ž²0ȳ¥žf¥q«Ê¨Ÿêž¢-±Ÿ¦ ±Ÿ¥žÊ¬¢ž6 †¡a¨©§¤¨Ÿ§¤«Ê¡y¢š±/œÞM’w‘7œ“È‘6,‘wŒȳ¥žf¥ž²c¢-«Ê¢_ʨ©§Ê¥q«Ê¨Ÿ®žªºÈÑS)Ï Â qx + v ×(o9‚;v Š y7y@y à vv§ÐÐ]¡a¢_Ê¢]¢!¥ž¹M¡0®qÝ/«Ê¡a¢gq¦ §I¥qf¢]¬ž¨Ÿêž¢_ª¤¨Ÿªy·¢_¯+¢_ªy·¢-ª¢«ÑāʨŸ®žM§3Ð]¨V«Ê¡…†-¢_Ê®³²0¢_¥žªº3 †¡a¢Ä¥q±Ÿ¬ž®Ê¨V«Ê¡y²ÖÐ]¡a¨©¹M¡¼a¯/y¥.«Ê¢!§¢_¥¹M¡0®qÝ«Ê¡y¢t¯+¥qM¥q²0¢«f¢-M§?¨Ÿª=«f¡a¨Ÿ§†¯+¥qM¥q²0¢«f¢-f¨Ÿ§f¥.«f¨V®ª¨VªC«Ê¼afª¥ž¹-¹-®žM·¨Ÿªa¬¤«f®c¥0Át¨V°y°y§]§Ê¥ž²0ā±V¢_ѹ_¥qªì°+¢³§Ê¡a®.Ð]ª=«f®¤¡y¥@ê¢M¥.«f¢®qݦ¹®žª{ê¢-f¬ž¢-ª+¹¢¤‚³ )j¥ž¬¥q¨ŸªC§Ê¢-¢÷< ´×?> + ?Ã{¨Ÿ²0¨V±©¥q†ªa®ª8¨m¹¢-ª¢«f¢-f¢_=¥ž±V¬®žf¨¸«f¡a²§,¹_¥qªì°+¢³¥qāȳ±V¨Ÿ¢_C¨VªÉ3®ž¨©§f§T®ªf¥žªy·®ž²¢6.$¢_¹«Z²0®{a¢-±©§Z¥qªyC¢-±©§Ê¢-Ð]¡a¢_Ê¢¨L©¨ ´¥j‹e1idQXj‹QX[^]8T¡]8YMcV[ T([¬ cV°*]8e°:]ìT([:T(idU*WZY,Wµ Ø µ ¨©§I«f¡y¥.«Ñ¨¸«]¹®²cȳ¼·«Ê¢!§?āf¢«Ê«k¦¤²¤¼y¹M¡¥žª¢¦c²0®··¢-±/¦ž®¼=¹-¥qª=«Ê¡af®.Ðï¥.«,¨V«V¨3Ð]¡a¢-«Ê¡a¢_,®?ªa®ž«ÏÍf¢_¥ž±+a¥žªa¬ž¢_?®žÝ¨Ø«Ê¡y¢Ñ²0®··¢_±·¨Ÿ§§T«f¥q«Ê¨©§k«f¨Ÿ¹_¥q±Ÿ±V¦¤§Ê¢-ªy§Ê¨Ÿ°a±V¢¦ÏıV¬®žf¨¸«f¡a²§3¹-¥qª¤āf®{a¼y¹¢ÑꞢ_ʦf¢_¥§T®ªy¥q°a±Ÿ¢?f¢_§Ê¼a±V«f§@-.¢-ê¢-ªÂÐ]¡y¢-ª¤«Ê¡a¢†ª{¼a²Â°/¢-¬ž¢-ªy¢-M¥q±·āf®ž°a±Ÿ¢-² ¨©§«Ê¡+¥.«,ȳÊ®¯+¢_Iāf¨V®®qÝíȳ¥žf¥ž²0¢«Ê¢_f§I¨Vª0«f¡a¢Ä²0®··¢-±+¢Ça¹¢_¢_a§?°{¦ÂÝj¥žI«Ê¡y¢Ä§T¨©†-¢Ä®qÝí«Ê¡y¢Äa¥.«M¥¤§Ê¢«_Ï ¡a¨Ÿa¢“ ìāf®ž°a±Ÿ¢-²§³®qÝѲ0®{a¢-±I¨©·¢-ª¢«f¨Ê4+¥ž°a¨Ÿ±V¨V«k¦F§Ê¨Vª+¹¢c«Ê¡a¢f¢_§Ê¼a±V«Ê¨Ÿªa¬¯+®¢§k«f¢-f¨V®·¢-ªy§Ê¨V«Ê¨Ÿ¢_§¥qf¢0āf®ž¯/¢-!·¢_ªy§T¨V«Ê¨Ÿ¢_§Â¹-¥qªÏ І¥@¦=«f®¥@êž®¨ŸC«Ê¡y¨Ÿ§Ä¨Ÿ§Z«Ê®¥ž±VІ¥@¦·§†¯+¢_TÝ€®Ê²¥=§Ê¢-ªy§Ê¨¸«f¨Vê{¨V«k¦=«f®=āf¨V®Ä¥qªy¥ž±V¦·§Ê¨Ÿ§ZÐ]¡a¨Ÿ¹M¡Ù¨Ÿªy¹-±V¼ya¢_§Zf¢-²0®··¢_±V±Ÿ¨Vªy¬=Ð]¨¸«f¡ªa®ª8¨'¨Ÿª·Ý€®Ê²¥.«f¨Vê¢ȳʨŸ®žM§-µ Ø µ ¨Ÿ§3¢-Ç¢«fÊ¢_²0¢-±Ÿ¦āÊ®°a±Ÿ¢-²¥.«f¨Ÿ¹žO †¡a¢_Ê¢7¨ûmªc¡a¨V¬¡¤·¨Ÿ²0¢-ªy§Ê¨Ÿ®žªy¥ž±{§Ê¨V«Ê¼y¥q«Ê¨Ÿ®žªy§@-@«Ê¡a¢]¥§Ê§Ê¢_§f§T²0¢_ª«3®qÝ/¹®žª{ê¢-f¬ž¢-ª+¹¢I®žÝ/ØÝ€®žf¢]¨V«?¨Ÿ§?f¥žÊ¢_±V¦Â¯+®¢§Ê§Ê¨V°y±V¢]«f®¤°/¢Ä¥q°y§Ê®ž±Ÿ¼·«f¢-±Ÿ¦¤¹¢_T«M¥q¨Ÿªc«Ê¡y¥q«?®ž¼a,¥q±Ÿ¬ž®žf¨V«Ê¡a²â¡y¥ž§I¹-®žª{Ꞣ_ʬ¢_c§T¼bɹ-¨V¢_ª¢«Ê±Ÿ¦¤ÐÑ¢-±Ÿ±R3Øٮʢ7¨Ý€Ê®² «f¡a¢]«M¥qf¬ž¢«I·¢_ªy§Ê¨¸«k¦¥-ž«f¡a¢Ä·¢_¯+¢_ªy·¢-ª¢«?ê.¥ž±V¼a¢!§¨Ÿª0«Ê¡a¢Ä§Ê¼a°y§Ê¢@2¢¼a¢_ª¢«®.Ꞣ_@-ž¢-Ꞣ_ª0¨¸ÝíÐÑ¢Z¹®ž¼y±Ÿ§T«f¥žT««f¡a¢Ä¥q±Ÿ¬ž®Ê¨V«Ê¡y²†¡a¢]¼y§Ê¼y¥ž±a¬ž¼a¨©·¢_±V¨Ÿªa¢]¨©§3«Ê®¼y§Ê¢]¥ž§²¥žª¢¦¹M¡y¥ž¨Vª0¹-¥žªc±Ÿ¢_¥¤«Ê®¢Ç{«fÊ¢_²c¢_±V¦Â¯+®{®ž¢!§k«f¨V²¥q«Ê¢_§I®qÝ2¼+¥qª¢«Ê¨V«Ê¨Ÿ¢_§3®žÝ/¨Ÿª¢«Ê¢-f¢_§T«_3¹®ª{Ꞣ-f¬ž¢_ªy¹¢Ia¨Ÿ¥ž¬žªa®¢§k«f¨Ÿ¹_§¨¥ž§O¨©§Oȳf¥¹X«Ê¨©¹-¥ž±V±Ÿ¦t¯+®¢§Ê§Ê¨V°y±V¢†§T®Ä«Ê¡y¥q«¨«f¡a¢Ñ¹M¡+¥qªy¹-¢?®qÝ/·¨Ÿ§f¹®.ê¢-f¨Vªy¬Z¹®žª{ê¢-f¬ž¢-ª+¹¢āf®ž°a±Ÿ¢-²§O¨Ÿ§B ¢Z§Ê¡y¥ž±V±·ªa®ž«IÊ¢-Ý€¢-¦«Ê®³«f¡a¢_§Ê¢]·¨©¥q¬žªy®§T«Ê¨©¹-§3¡a¢_Ê¢ © Ý€®žI¢-Ç{«Ê¢-ª+§T¨Ÿêž¢ÑÊ¢_ê{¨V¢_ÐZ§¥qªyc¹®²c¯+¥qf¨Ÿ§Ê®žªy§3§Ê¢-¢¤Ô-{< Š >²¥.Ç·¨Ÿ²c¨©§Ê¢_í¿žÁ>),îÄݨ¹®ž¼yf§Ê¢Z¨V«Ñ²¤¼y§k«†°/¢¢_²cȳ¡y¥ž§Ê¨Ÿ§Ê¢_c«f¡y¥.«]¹®ª{Ꞣ-f¬ž¢_ªy¹¢Za¨Ÿ¥ž¬žªa®¢§k«f¨Ÿ¹_§?¹-¥žªaªa®ž«,¬ž¼+¥qM¥qª¢«Ê¢_¢Ä¹®ª¢ê¢-f¬ž¢_ªy¹¢]¨Ÿª¥qª+$