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 ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
âödv ó §Ê¼y¹M¡C«Ê¡y¥q«]Ý€®žZ§Ê®ž²0¢³¯+®¢§T¨V«Ê¨Ÿêž¢¹®ªy§T«f¥qª¢«Ä¥žªy쥤ȳÊ®°y¥q°a¨Ÿ±Ÿ¨¸«k¦=²0¢!¥ž§Ê¼aÊ¢‚[J-y§Ê¼y¹M¡ì«Ê¡+¥.«]Ý€®žZ¥žª{¦§À€u€®-ø T).Àv ‡ l + S ƒ[) ‡ l + y )'¾qÅ +ñà ât§T«Ê¢_ȳ§,¹M¡+¥q¨Ÿªy§,§T«f¥žT«f¨Vªy¬Â¥qª{¦{Ð]¡a¢-f¢Ä¨Ÿª€9¡+¥@ꞢÄȳÊ®°y¥q°a¨Ÿ±Ÿ¨¸«k¦¨Ñ®qݨ°/¢-¨Ÿªa¬Â¬¢-ªa¢_f¥q«Ê¢!0݀ʮ²ù¥Â·¨©§k«fʨŸ°a¼·«f¨V®ª†¡{¼y§,¨Vª/"£ ¤bvf¤Et(Jt ‚¥-O¥qª+˜¤˜Öpã Ö ‚0†¡{¼y§³Ð]¡y¨V±©§k«¤®¼·«f§Ê¨©·¢®qÝ,«Ê¡a¢=§Ê²¥q±Ÿ±I§T¢-«Z€®-º«Ê¡y¢āÊ®·¹-¢_§f§Ý€®ž¤¹-®žªy§T«f¥žª¢«f§+ ¨©§,»k¼y§T«³¥C§T¼a¯/¢-f²¥qʫʨŸªa¬¥ž±V¢¥-/a¢_¹f¢_¥§T¨Ÿªa¬=¨Ÿª6¢-Ç·¯+¢!¹X«f¥q«Ê¨Ÿ®žª ¥.«¢_Ꞣ_ʦ¨V«Ê¢-M¥.«f¨V®ªºÃ{¨Vª+¹¢…r S ‚¤¢-Ꞣ_ʦ{Ð]¡a¢_Ê¢¥-r")4Ûœ‘ o ²A,楱AÜ ’wÛb²/Ž ˜Ž3Îgµ‘§±/ç÷‘7“ƒ Ž’§²/” ”–•ˆ‘7 µ±@Œ/Ž’ Ù“ ß*ãPoÖ‚²AJŒr Ž3Î Ýw±/´8šŒ;‘wŒAÕa“ Ûœ‘6˜“ Ûœ‘€’wÛb²/Ž ˜Ž3Τ´8œŽ ß6±/ 瀔ʕ‘6ƒµ¥±9ŒAŽ’ Ùxd’;z¤¤¤¤ŠŠ')( ƒ ( ƒ5‡+*Ĉt„,û)«Ä«f¼afªy§Z®¼·«Z«Ê¡+¥.«Ä«f¡a¢¤¹-®žª{Ꞣ_ʬ¢-ªy¹-¢³āÊ®¯+¢_T«f¨V¢!§]®qÝ3«f¡a¢¤¹M¡y¥ž¨Vªé¥žÊ¢±Ÿ¨ŸªaÒž¢!«Ê®=ȳÊ®¯+¢_T«f¨V¢!§]®qÝI¨V«f§Ä¢Ça¹¼aM§Ê¨V®ªy§Z¥@І¥@¦¥ ¹-¢-ª¢«ÊM¥q±/§T¢-«@¦Ÿ B ¢t·¢64yªy¢¥÷Î ç5²A” ”GÎ6‘7“I€ «Ê®¤°+¢t¥¤§T¼y°y§T¢-«?®qÝ-HcÐ]¨V«Ê¡«f¡a¢Äāf®ž¯/¢-Ê«k¦¤«f¡y¥.«,«Ê¡a¢_Ê¢¢Ç·¨©§k«M§?§Ê®ž²0¢Ý€f®ž²[0Ð]¡a¨©¹M¡¨©§I¨Ÿªy·¢-¯/¢-ª+·¢-ª¢«,®žÝíÐ]¡a¢-f¢Z¨Ÿª€5«Ê¡a¢Ä¹M¡+¥q¨Ÿª=§k«M¥qÊ«Ê¢_cÝ€f®ž²¦ûmªāM¥ž¹X«f¨Ÿ¹-¢;-¢Ð,¢Z¹_¥qª®žÝw«Ê¢-ª¨Ÿ·¢_ª¢«Ê¨VÝ€¦c§Ê²¥q±Ÿ±+§Ê¢«f§¥ž§†²0®Ê¢tÝj¥q²0¨Ÿ±V¨©¥q]®°·»k¢_¹«f§@-a¹®²c²0®ªa±V¦C¥ž§†°/®ž¼aªya¢_쮞]¹®²0ȳ¥ž¹«Ä§T¢-«f§_«Ê¡a¢,§T¢-«F€®-@Ð,¢I¨Ÿª¢«Êf®··¼y¹¢I«Ê¡a¢?¹-®žªy¹-¢-¯·«O®qÝa¥ k ®¢§k«f¢-,¨k!¨¦¥qȳ¼aªa®.êÁŒA Ž ßw“{¹®ªy·¨V«Ê¨Ÿ®žªºO®Ä·¢_§f¹f¨Ÿ°+¢¢-Ç·¹-¼aM§T¨Ÿ®žªy§¨¥@ÐÑ¥@¦]Ý€f®ž²^ < J¥v ` + ¨©§]§T¼+¹M¡C«f¡y¥.« T §Ê¥q«Ê¨©§d4+¢_§Ã{¼aȳ¯+®¢§T¢³«f¡y¥.«râÈVH < r")4 t + } ¦âo\À¡>XÖ8r5).À +)T‚( + r).À + ò  / ’„ )©À + )'¾Ô +«Ê¡a¢_Ê¢-Ý€®žf¢=¡y¥§«Ê®6Ê¢-«Ê¼afª;«Ê®.€«Ê® Ê¢-Ý€¼a¢-±ƒ¦®žª;«Ê¡y¢±©¥ž§T«¤«Ê¢_ʲ½®žª;«f¡a¢f¨Ÿ¬ž¡¢«¨V«c¹-¥žªaªa®ž«¤·¢_¹-Ê¢!¥ž§Ê¢0Ý€®ž¤¢-Ꞣ_@-¥žªy+ ††¡a¢¤¢-Ç¢«f¢-ª¢«Ä®žÝ¦«f¡a¨©§Zf¢_·¼y¹«Ê¨Ÿ®žªÙ¨ŸªÙ¢Ç·¯/¢_¹X«M¥.«f¨V®ªÙ®qÝ>r")4 + ¨Ÿ§·¢«f¢-f²0¨Vªa¢!°{¦«f¡a¢Â§Ê¨‡†_¢¤®qÝ3«Ê¡y¢¡y¥žªyÙ§T¨©·¢¤®žÝ:)R¾Ô+ -º¥žªyé«f¡a¨©§³¨VªF«Ê¢_ʲܱŸ¨Ÿ²c¨V«f§³¡y®.ÐÖ±V®ªa¬ì«Ê¡a¢Ø饞ÊÒ®.êì¹M¡+¥q¨Ÿª ¹_¥qª6¬®§Ê¢_¹®ªyÙ«f¢-f²Ü®žª6«Ê¡a¢f¨Ÿ¬ž¡¢«t¡+¥qªyF§T¨©·¢0®qÝm)R¾Ô Ê¢-Ý€¼a¢-±Ÿ¨Vªy¬Ù¨Vâ €®¦ŸÙ †¡a¢ȳ¥qM¥q²0¢-«Ê¢- ã ¨Ÿ§Â¨V²0¯/®žÊ«f¥žª«¤®ªa¢¡a¢_Ê¢¥-O²0¢_¥§T¼yʨŸªa¬ì«Ê¡a¢¢Ç{«Ê¢_ª«¤®q݆«Ê¡a¢ ž·f¨¸Ýw«3Ð]¨V«Ê¡a®¼·«°y¥¹MÒ=«Ê®.І¥qMa§†«f¡a¢Â§Ê²¥q±Ÿ±O§Ê¢«‰€cZØ6¥.«Ê¡y¢-²¥.«f¨Ÿ¹_¥q±Ÿ±V¦C«Ê¡a¨©§Z¬®.Ꞣ_ʪy§Ñ«f¡a¢¤¥q«Ê¨Ÿ±¨°/¢-¡y¥@ê{¨Ÿ®ž¼aÄ®qÝ3«Ê¡a¢c·¨©§k«fʨŸ°a¼·«f¨V®ªÙ®qÝ«Ê¡y¢4yM§k«]f¢«f¼aʪC«Ê¨Ÿ²0¢«Ê®c«f¡a¢¤§T²¥ž±V±º§Ê¢«€c†¡a¢ÂÝ€®ž±Ÿ±V®.Ð]¨Ÿªa¬f¢_§Ê¼a±V«Ä¨Ÿª·Ý€®žf²¥q±Ÿ±V¦Ù§Ê¼a²0²0¥žÊ¨©§Ê¢_§Ä§Ê®ž²0¢¤®qÝ«Ê¡y¢¤¨Ÿ²0¯+®T«M¥qª¢«¨Ÿ²0ā±V¨©¹-¥q«Ê¨Ÿ®žªy§®qÝ«f¡a¢Â¢-Ç·¨Ÿ§T«Ê¢_ªy¹¢¤®qÝ,·f¨VÝw«û)«¤¨©§Âªa®ž«Â«f¡a¢C¨Ÿª¢«Ê¢_ª«f¨V®ªÓ«Ê® §k«M¥.«f¢āf¢_¹-¨Ÿ§Ê¢=f¢_§Ê¼a±¸«M§Â¡y¢-f¢;-°a¼·«¤«Ê¡a¢ì¨Ÿª«f¢-f¢_§T«Ê¢!ÓÊ¢!¥ž·¢_¹®ªy·¨V«Ê¨Ÿ®žªy§¤®qÝ]«f¡a¨©§ÂÒ{¨Ÿªyí¿¢Ô?>OÝ€®t·¢-«f¥ž¨V±©§t®qÝ?·¢74yªa¨V«Ê¨Ÿ®žªy§t®qÝÑØé¥qfÒž®.êì¹M¡y¥q¨Ÿª6¹®ªy¹¢_¯·«f§t§Ê¼y¹M¡F¥§¥ž¯+¢_ʨŸ®··¨Ÿ¹-¨¸«k¦¥-$¨VfÊ¢!·¼y¹-¨V°a¨Ÿ±Ÿ¨¸«k¦¥-¨©§f¢Ý€¢_Êf¢_ì«f®˜