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.
§f¥q²0ā±Ÿ¨Vªy¬ÂÝ€f®ž²~‚Ð,®¼a±ŸC¢Ç·¯/¢_¹«@-·«f®cûÊûkËùø çºôöô æ•_–.›jš–.òa”¦Õ—/ôûú¤òaó£èÿàÖ梕-–.—yõ,—+óR› còaó¢/—y–.›j•_å¦ôŠ¤õÆž+ ‚a).À+ ×8).Àõõ¤‚.Ô …¤‡„у]‡ „†…Posterior Density0 1 2 3 4 5 6¡0.0¡0.20.4¡0.6¡0.8¡1.0thetak ¨V¬¼af¢¤‚‚žÈÉ3®§T«Ê¢_ʨŸ®ž?a¢-ªy§Ê¨¸«k¦®qÝ£qc°y¥§T¢!=®žªC¨Vª+·¢-¯/¢-ªya¢-ªy¹-¢³§f¥q²0ā±Ÿ¢-]ØÙ¢-«Êf®ž¯/®ž±Ÿ¨Ÿ§kÚ{Û¥ž§T«Ê¨Ÿªa¬§Ñ¥q±Ÿ¬ž®Ê¨V«Ê¡y²¥žāā±Ÿ¨V¢!«Ê®c«f¡a¢¬ž¢_ªa¢«f¨Ÿ¹³±Ÿ¨VªyÒ@¥ž¬ž¢³¢Ça¥ž²cȳ±V¢¢¥qf¢0±V¢-Ýw«ÂÐ]¨¸«f¡ö¥°y¥Lœ¨Ÿªa¬ž±Ÿ¦é±©¥qf¬ž¢¹M¡a®¨Ÿ¹-¢®q݆āÊ®¯+®¢§Ê¥ž±Òž¢_ʪa¢_±Ÿ§@-¥×{Cûmª;«Ê¡a¢ªa¢-Ç{«¤§T¢!¹X«f¨V®ª§-¨ÐÑ¢=§T¡+¥q±Ÿ±I¨Vª+·¨Ÿ¹_¥.«f¢B§Ê®ž²0¢³ā±Ÿ¥ž¼y§Ê¨V°a±Ÿ¢¹M¡a®ž¨©¹¢!§-K(L©ò *Tj‹e1idQXW c1ó‘ÓþQ]8`bcVe¤cViMY,WLÕ´ÖàT(W¥]bYM[:_^W˜T(iM_aca`œYd]8Oj W0+¢Ç·¨V°y±V¢]§Ê¨Vªy¹-¢]¨¸«¨Ÿ²0¯+®¢§T¢!§3ªa®³Ê¢!§k«fʨ©¹X«f¨V®ª¤Ð]¡y¥q«f§Ê®{¢-Ꞣ_†¡a¢]ØÙ¢-«Êf®ž¯/®ž±Ÿ¨Ÿ§M¨)Û¥ž§T«Ê¨Ÿªa¬§OÝ€M¥q²0¢-ÐÑ®žfÒ³¨Ÿ§IꞢ-f¦¬ž¢_ªa¢-M¥q±·¥žªy®žÝ†×{¦ÏıV±·¹-¼aÊf¢-ª¢«f±V¦¼y§Ê¢_¤Ø µ Ø µ ¥ž±V¬®žf¨¸«f¡a²§O¹_¥qª¤°+¢†¢Ç·āf¢_§f§Ê¢_¨Ÿª¤«f¡a¨Ÿ§¦Ý€®Ê²¦ÛZ¢-f¢ÑÐ,¢ÑÐ]¨V±Ÿ±a·¨©§Ê¹-¼y§f§®žªÂ«Ê¡a¢ÑÝ€®Ê²«f¡a¢¹®±V±Ÿ¢_¹«Ê¨Ÿ®žª;ÐÑ¢²¥qª{¦6¢-Ça¥q²0ā±Ÿ¢_§®žÝ,«f¡a¢=²0®§T«Â¯/®žā¼a±©¥q¤Ý€®žf²0§¤®qÝ]ØÙ¢«fÊ®¯+®±V¨©§d¨mÛÄ¥§k«f¨Vªy¬§¥q±Ÿ¬ž®Ê¨V«Ê¡y²ˆ-¨«Ê¡a®¼a¬ž¡·¢!§Ê¹-ʨŸ°+¢³¨©§]°{¦=ªa®0²0¢_¥žªy§†¢Ç·¡y¥ž¼y§k«f¨Vꢞã¤åOæ›R”O˜¦æ¢õ?æ{”O˜¦æ{”Ošæ !òaôÓõ3ój梖 †¡a¢t§Ê¨Ÿ²cȳ±V¢!§k«†¯+®¢§Ê§Ê¨Ÿ°a±V¢t¹M¡a®ž¨©¹¢ÄÝ€®žÑ«Ê¡y¢āf®ž¯/®§f¥q±$·¨©§k«fʨŸ°a¼·«f¨V®ªC¹M¡a®{®¢§T¢!§1ׂ«Ê®0°+¢¨Ÿªy·¢_¯+¢_ªy·¢_ª«Z®žÝ¦¨V«f§*4yf§T«Z¥qf¬ž¼a²0¢_ª«!È×8)©ÀvMl + o\×8)rl + y )R¿¢Ô +ÛZ¢-f¢³Ð,¢¹_¥qªìÐ]ʨV«Ê¢)rl +ã…).ÀvMl + oï²0¨Ÿª3ôöõv_‚x÷ )R¿ž× +)©À +Ð]¡a¢-f¢).À + oy )R¿žÎ +û)«†¨©§†¹±Ÿ¢_¥ž,«f¡y¥.«†°{¦«f¥žÒ{¨Vªa¬3׫f®¤°/¢³āf®ž¯/®žÊ«Ê¨Ÿ®žªy¥ž±y«f®€‚(-¨©§]¹®žª+§k«M¥qª¢«Ñ¥žªy=«f¡a¢¥q±Ÿ¬ž®Ê¨V«Ê¡a²f¢_·¼+¹¢_§@-·¥ž§ÑÐÑ¢B ¢Âa¢64yªa¢c¥M¥qªy·®²Ð†¥q±ŸÒÐ]¨V«Ê¡é«ÊM¥qªy§Ê¨¸«f¨V®ªé·¢-ª+§T¨V«k¦×8)©ÀvMl + oc×Åü&ý…)rlÀ + Ð]¡a¢_Ê¢¤ÐѢ¥§Ê§Ê¼a²0¢«Ê¡+¥.«×Åü&ý¨Ÿ§]¥žªC¢_Ꞣ-ªCÝ€¼aªy¹«Ê¨Ÿ®žªå)©×‹ü0ý^)©À + ow×Åü&ý)À + Ý€®Z¥q±Ÿ±¥À +ûmª«f¡a¨Ÿ§Ä¹-¥ž§Ê¢t«Ê¡a¢¤¥¹-¹-¢-¯·«M¥qªy¹-¢tȳÊ®°y¥q°a¨Ÿ±Ÿ¨¸«k¦"ã…)£¢£v+ f¢_·¼y¹-¢_§Ñ«f®¤«f¡a¢¤§Ê¨V²0ā±Ÿ¢-]Ý€®Ê²ã^)©ÀvMl + o ²0¨Vª ôv-‚ ÷ y )j´¥¤ ++ ‚a)l+ ‚a).À