The Prior Can Often Only Be Understood in the Context of the Likelihood
A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast literature on potential defaults including uniform priors, Jeffreys’ priors, reference priors, maximum entropy priors, and weakly informative priors. These methods, however, often manifest a key concep...
Saved in:
Published in | Entropy (Basel, Switzerland) Vol. 19; no. 10; p. 555 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Basel
MDPI AG
01.10.2017
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast literature on potential defaults including uniform priors, Jeffreys’ priors, reference priors, maximum entropy priors, and weakly informative priors. These methods, however, often manifest a key conceptual tension in prior modeling: a model encoding true prior information should be chosen without reference to the model of the measurement process, but almost all common prior modeling techniques are implicitly motivated by a reference likelihood. In this paper we resolve this apparent paradox by placing the choice of prior into the context of the entire Bayesian analysis, from inference to prediction to model evaluation. |
---|---|
AbstractList | A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast literature on potential defaults including uniform priors, Jeffreys’ priors, reference priors, maximum entropy priors, and weakly informative priors. These methods, however, often manifest a key conceptual tension in prior modeling: a model encoding true prior information should be chosen without reference to the model of the measurement process, but almost all common prior modeling techniques are implicitly motivated by a reference likelihood. In this paper we resolve this apparent paradox by placing the choice of prior into the context of the entire Bayesian analysis, from inference to prediction to model evaluation. |
Author | Simpson, Daniel Gelman, Andrew Betancourt, Michael |
Author_xml | – sequence: 1 givenname: Andrew orcidid: 0000-0002-6975-2601 surname: Gelman fullname: Gelman, Andrew – sequence: 2 givenname: Daniel surname: Simpson fullname: Simpson, Daniel – sequence: 3 givenname: Michael surname: Betancourt fullname: Betancourt, Michael |
BookMark | eNpNUMtKAzEUDVLBtrrwDwKuXIwmk8dMljpoLRTqol2HPO3UcVIzKdi_N1opbu7j3MM5lzMBoz70DoBrjO4IEejeYYERYoydgTFGQhSUIDT6N1-AyTBsESpJifkYzFYbB19jGyJsVA-XPrlc--4AHx1c99bFIYVgYdvDlJlN6JP7SjD433XRvruu3WTCJTj3qhvc1V-fgvXz06p5KRbL2bx5WBSGsDoVDmttldXaGIoJY6amqhYaYUa4J5VGRpXKW1dxpkSJPc9XU1nKlS615zWZgvlR1wa1lbvYfqh4kEG18hcI8U2qmFrTOUnrujSeU84Foa5mtaXGZEATQkwpqqx1c9TaxfC5d0OS27CPfX5fYsEZE4jkmKbg9sgyMQxDdP7kipH8yVyeMiff9hxzWA |
CitedBy_id | crossref_primary_10_1016_j_resuscitation_2020_01_030 crossref_primary_10_1016_j_trc_2022_103811 crossref_primary_10_3390_healthcare9080925 crossref_primary_10_1086_706339 crossref_primary_10_1111_1365_2656_13783 crossref_primary_10_3390_jintelligence8010005 crossref_primary_10_1109_LCSYS_2020_3005429 crossref_primary_10_1121_10_0022417 crossref_primary_10_1002_asmb_2752 crossref_primary_10_1080_10705511_2022_2039066 crossref_primary_10_1016_j_foodres_2022_111565 crossref_primary_10_1186_s40536_021_00108_2 crossref_primary_10_1007_s00603_020_02295_w crossref_primary_10_1038_s43586_020_00001_2 crossref_primary_10_1007_s10533_020_00662_x crossref_primary_10_1016_j_apm_2020_08_023 crossref_primary_10_1016_j_worlddev_2021_105741 crossref_primary_10_3389_fpsyg_2023_1253452 crossref_primary_10_1016_j_ijrmms_2020_104381 crossref_primary_10_1111_cdev_13950 crossref_primary_10_1523_JNEUROSCI_1555_21_2022 crossref_primary_10_1007_s42113_019_00051_0 crossref_primary_10_1162_jocn_a_02145 crossref_primary_10_1002_ece3_5612 crossref_primary_10_2196_35207 crossref_primary_10_3390_ijerph18020777 crossref_primary_10_1002_pst_2355 crossref_primary_10_1093_mnras_stab2941 crossref_primary_10_1007_s11222_023_10366_5 crossref_primary_10_1007_s11067_019_09490_5 crossref_primary_10_1029_2019EF001154 crossref_primary_10_1111_rssa_12504 crossref_primary_10_3390_e25010050 crossref_primary_10_1007_s11403_020_00289_z crossref_primary_10_1016_j_net_2022_04_013 crossref_primary_10_1007_s10826_023_02610_3 crossref_primary_10_7717_peerj_9383 crossref_primary_10_1007_s11111_020_00341_x crossref_primary_10_1111_jvim_15570 crossref_primary_10_1093_icesjms_fsz059 crossref_primary_10_1177_17470218231154910 crossref_primary_10_2196_30889 crossref_primary_10_5334_labphon_203 crossref_primary_10_1080_00224065_2023_2180457 crossref_primary_10_1111_jfb_14378 crossref_primary_10_1016_j_csda_2020_106924 crossref_primary_10_1177_25152459241235875 crossref_primary_10_1016_j_petrol_2021_109891 crossref_primary_10_15232_aas_2023_02443 crossref_primary_10_1016_j_jml_2024_104514 crossref_primary_10_1080_02640414_2020_1736252 crossref_primary_10_1088_2632_2153_acf6aa crossref_primary_10_1017_dce_2021_18 crossref_primary_10_3847_1538_3881_ab1d66 crossref_primary_10_1016_j_cognition_2020_104233 crossref_primary_10_3390_math9212810 crossref_primary_10_1016_j_ultras_2021_106455 crossref_primary_10_1017_S0272263123000177 crossref_primary_10_1111_infa_12436 crossref_primary_10_3389_fmars_2024_1265150 crossref_primary_10_3390_children10091508 crossref_primary_10_1111_bmsp_12314 crossref_primary_10_1002_etc_5782 crossref_primary_10_1109_ACCESS_2023_3343467 crossref_primary_10_3389_fpsyg_2023_1141174 crossref_primary_10_1371_journal_pone_0297135 crossref_primary_10_1371_journal_pone_0303309 crossref_primary_10_1016_j_apmr_2023_02_013 crossref_primary_10_1038_s41562_022_01340_8 crossref_primary_10_1111_lnc3_12439 crossref_primary_10_1093_biomtc_ujad028 crossref_primary_10_1007_s13280_022_01742_y crossref_primary_10_1002_ecs2_3739 crossref_primary_10_3389_frai_2021_530937 crossref_primary_10_1007_s00180_023_01444_3 crossref_primary_10_1080_24694452_2020_1756207 crossref_primary_10_1111_bmsp_12195 crossref_primary_10_1002_jrsm_1471 crossref_primary_10_1115_1_4065443 crossref_primary_10_1139_cjfas_2020_0410 crossref_primary_10_1007_s00431_020_03818_x crossref_primary_10_1016_j_fcr_2022_108477 crossref_primary_10_1002_ecm_1470 crossref_primary_10_1007_s10706_023_02435_3 crossref_primary_10_3390_ijerph18084207 crossref_primary_10_1111_obr_13669 crossref_primary_10_3390_languages6010009 crossref_primary_10_1002_asmb_2794 crossref_primary_10_1016_j_drugalcdep_2022_109309 crossref_primary_10_1016_j_tifs_2020_02_027 crossref_primary_10_1071_MF19370 crossref_primary_10_1080_10705511_2022_2032078 crossref_primary_10_1016_j_wocn_2018_06_001 crossref_primary_10_4103_1673_5374_322464 crossref_primary_10_1139_cjfas_2023_0269 crossref_primary_10_1214_19_BA1189 crossref_primary_10_1016_j_neuroscience_2021_03_018 crossref_primary_10_1002_jia2_25946 crossref_primary_10_1016_j_jdeveco_2022_103002 crossref_primary_10_1111_evj_13351 crossref_primary_10_1371_journal_pone_0281655 crossref_primary_10_1177_0962280218817792 crossref_primary_10_1242_jeb_242554 crossref_primary_10_1016_j_ijpddr_2018_07_003 crossref_primary_10_4081_jphr_2021_2498 crossref_primary_10_1002_hbm_24686 crossref_primary_10_1177_1368430220960795 crossref_primary_10_3390_e20080592 crossref_primary_10_1093_aje_kwz166 crossref_primary_10_1371_journal_pcbi_1010078 crossref_primary_10_1038_s41562_022_01452_1 crossref_primary_10_3389_feart_2024_1333117 crossref_primary_10_1017_S0142716423000310 crossref_primary_10_1371_journal_pone_0267813 crossref_primary_10_1016_j_jhydrol_2020_125797 crossref_primary_10_1111_meca_12366 crossref_primary_10_1016_j_psep_2023_11_080 crossref_primary_10_1093_mnras_stz3423 crossref_primary_10_1016_j_aap_2021_106518 crossref_primary_10_1002_stc_2309 crossref_primary_10_1103_PhysRevC_109_054301 crossref_primary_10_1214_23_BA1381 crossref_primary_10_1093_mnras_stz081 crossref_primary_10_1016_j_jcp_2020_109716 crossref_primary_10_1029_2020WR027649 crossref_primary_10_1109_JTEHM_2024_3415412 crossref_primary_10_3390_ijerph20136277 crossref_primary_10_3389_fpsyg_2022_956832 crossref_primary_10_1016_j_jss_2023_111909 crossref_primary_10_7717_peerj_15511 crossref_primary_10_1017_S0272263120000273 crossref_primary_10_3389_frai_2020_00052 crossref_primary_10_1002_cjs_11637 crossref_primary_10_1017_S0272263123000426 crossref_primary_10_1111_cogs_13161 crossref_primary_10_1016_j_physrep_2021_10_005 crossref_primary_10_1080_03610918_2018_1484480 crossref_primary_10_1137_21M1410853 crossref_primary_10_1086_726220 crossref_primary_10_1186_s12888_023_04609_y crossref_primary_10_1111_modl_12918 crossref_primary_10_3389_fphy_2020_617582 crossref_primary_10_3758_s13428_024_02410_7 crossref_primary_10_1126_scitranslmed_adk3259 crossref_primary_10_1029_2019WR025068 crossref_primary_10_1111_biom_13124 crossref_primary_10_1002_tafs_10197 crossref_primary_10_1186_s12877_022_02985_w crossref_primary_10_1016_j_biopsycho_2021_108245 crossref_primary_10_1111_1365_2745_14154 crossref_primary_10_1007_s00216_022_03968_x crossref_primary_10_1650_CONDOR_18_1_1 crossref_primary_10_3389_fpsyt_2020_577491 crossref_primary_10_1017_S1366728924000087 crossref_primary_10_1016_j_probengmech_2022_103379 crossref_primary_10_1214_21_AOAS1569 crossref_primary_10_1038_s41598_018_28130_5 crossref_primary_10_1093_mnras_stac431 crossref_primary_10_1515_ijb_2020_0130 crossref_primary_10_1111_add_14993 crossref_primary_10_1214_21_AOAS1580 crossref_primary_10_1016_j_anbehav_2022_07_002 crossref_primary_10_1214_22_BA1342 crossref_primary_10_3389_fpsyt_2023_1239066 crossref_primary_10_3390_econometrics10040032 crossref_primary_10_1021_acs_jproteome_3c00297 crossref_primary_10_5964_meth_11167 crossref_primary_10_1080_17499518_2020_1864411 crossref_primary_10_1016_j_msea_2020_140507 crossref_primary_10_1080_02626667_2019_1628964 crossref_primary_10_1016_j_jad_2024_05_148 crossref_primary_10_1002_hbm_26107 crossref_primary_10_1016_j_learninstruc_2023_101851 crossref_primary_10_1080_00401706_2021_1921036 crossref_primary_10_1080_20479700_2022_2070824 crossref_primary_10_1111_asap_12196 crossref_primary_10_1371_journal_pone_0288961 crossref_primary_10_1177_10731911241234118 crossref_primary_10_1111_insr_12502 crossref_primary_10_1007_s11205_023_03250_2 crossref_primary_10_1111_lang_12627 crossref_primary_10_1002_ejsp_2609 crossref_primary_10_1002_pbc_29036 crossref_primary_10_1145_3490953 crossref_primary_10_1016_j_fishres_2024_107024 crossref_primary_10_2139_ssrn_4744118 crossref_primary_10_1080_10705511_2023_2280895 crossref_primary_10_1111_fwb_13577 crossref_primary_10_3390_cancers15194674 crossref_primary_10_1097_OLQ_0000000000001468 crossref_primary_10_1002_sdr_1693 crossref_primary_10_1371_journal_pone_0293166 crossref_primary_10_1214_22_AOAS1711 crossref_primary_10_1242_jeb_229609 crossref_primary_10_1016_j_ijfatigue_2020_105943 crossref_primary_10_1016_j_psychres_2021_114235 crossref_primary_10_1214_22_BA1318 crossref_primary_10_1002_ajpa_24425 crossref_primary_10_1016_j_neuropsychologia_2020_107427 crossref_primary_10_1017_pan_2024_1 crossref_primary_10_1080_10705511_2022_2164286 crossref_primary_10_3389_fpsyg_2023_1192041 crossref_primary_10_1515_zfal_2024_2006 crossref_primary_10_3390_ijerph17103669 crossref_primary_10_1021_acs_jproteome_1c00859 crossref_primary_10_1038_s41550_019_0998_2 crossref_primary_10_1016_j_jocm_2022_100398 crossref_primary_10_1080_00273171_2023_2173135 crossref_primary_10_1080_00949655_2022_2138883 crossref_primary_10_1108_SCM_12_2020_0598 crossref_primary_10_1093_mnras_staa1857 crossref_primary_10_1214_21_STS833 crossref_primary_10_1086_726785 crossref_primary_10_1002_bimj_202000193 crossref_primary_10_3390_languages7030226 crossref_primary_10_1002_asmb_2832 crossref_primary_10_1177_0959683619846969 crossref_primary_10_1080_15213269_2021_1879655 crossref_primary_10_1016_j_actatropica_2022_106551 crossref_primary_10_1007_s00442_020_04646_4 crossref_primary_10_1016_j_jas_2021_105346 crossref_primary_10_1075_tcb_00048_jim crossref_primary_10_1080_19312458_2021_1935824 crossref_primary_10_3390_stats6010011 crossref_primary_10_1039_D3JA00220A crossref_primary_10_1111_lang_12392 crossref_primary_10_1186_s12888_021_03130_4 crossref_primary_10_3390_ma14102529 crossref_primary_10_1016_j_cognition_2022_105148 crossref_primary_10_1016_j_epidem_2020_100393 crossref_primary_10_1007_s11222_024_10442_4 crossref_primary_10_1109_TVCG_2022_3226463 crossref_primary_10_1016_j_ymssp_2019_01_021 crossref_primary_10_1016_j_jclinepi_2022_02_005 crossref_primary_10_3390_psych5020027 crossref_primary_10_1007_s10344_019_1306_2 crossref_primary_10_1142_S2591728523500135 crossref_primary_10_3390_math10060898 crossref_primary_10_1111_ssqu_13190 crossref_primary_10_1093_erae_jbab014 crossref_primary_10_1111_mms_12733 crossref_primary_10_1007_s41666_021_00094_8 crossref_primary_10_1111_rssa_12378 crossref_primary_10_1162_nol_a_00094 crossref_primary_10_1016_j_jrmge_2023_05_003 crossref_primary_10_3389_feart_2019_00118 crossref_primary_10_1016_j_ssci_2021_105285 crossref_primary_10_1186_s12888_018_1761_4 crossref_primary_10_1016_j_apm_2023_05_038 crossref_primary_10_3758_s13428_021_01754_8 crossref_primary_10_1093_mnras_stab320 crossref_primary_10_1214_23_SS145 crossref_primary_10_2139_ssrn_4086629 crossref_primary_10_2139_ssrn_4086749 crossref_primary_10_1111_oik_05985 crossref_primary_10_1007_s12110_023_09452_4 crossref_primary_10_1080_07357907_2021_1999971 crossref_primary_10_1016_j_jsp_2023_01_002 crossref_primary_10_1016_j_ecoinf_2023_102271 crossref_primary_10_1186_s13063_022_06167_2 |
Cites_doi | 10.1511/2009.79.310 10.1016/j.jtbi.2006.07.017 10.1109/PROC.1982.12425 10.1214/15-BA983 10.1214/16-STS576 10.1214/06-BA117A 10.1016/j.jmp.2010.07.003 10.1080/01621459.1996.10476668 10.1111/rssa.12276 10.3758/s13423-012-0300-4 10.1111/j.1751-5823.2003.tb00203.x 10.1198/016214504000000241 10.1214/08-AOAS191 10.1111/j.2044-8317.2011.02037.x 10.1214/aos/1176346785 10.1214/08-AOS678 10.1080/01621459.1996.10477003 10.1093/biomet/ass079 10.1080/01621459.1995.10476572 10.1214/12-BA730 |
ContentType | Journal Article |
Copyright | Copyright MDPI AG 2017 |
Copyright_xml | – notice: Copyright MDPI AG 2017 |
DBID | AAYXX CITATION 7TB 8FD 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO FR3 HCIFZ KR7 L6V M7S PIMPY PQEST PQQKQ PQUKI PRINS PTHSS DOA |
DOI | 10.3390/e19100555 |
DatabaseName | CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database SciTech Premium Collection (Proquest) (PQ_SDU_P3) Civil Engineering Abstracts ProQuest Engineering Collection Engineering Database ProQuest - Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection Open Access: DOAJ - Directory of Open Access Journals |
DatabaseTitle | CrossRef Publicly Available Content Database Civil Engineering Abstracts Engineering Database Technology Collection Technology Research Database Mechanical & Transportation Engineering Abstracts ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic Engineering Collection |
DatabaseTitleList | Publicly Available Content Database |
Database_xml | – sequence: 1 dbid: DOA name: Open Access: DOAJ - Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
EISSN | 1099-4300 |
ExternalDocumentID | oai_doaj_org_article_4882cf6466934e858d4cccf6b333c297 10_3390_e19100555 |
GroupedDBID | 29G 2WC 5GY 5VS 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ACIWK ADBBV AEGXH AENEX AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS BCNDV BENPR BGLVJ CCPQU CITATION CS3 DU5 E3Z ESX F5P GROUPED_DOAJ GX1 HCIFZ HH5 J9A KQ8 L6V M7S MODMG M~E OK1 PIMPY PROAC PTHSS RNS TR2 TUS XSB ~8M 7TB 8FD ABUWG AZQEC DWQXO FR3 KR7 PQEST PQQKQ PQUKI PRINS |
ID | FETCH-LOGICAL-c358t-e1bbdadbbcc41355c84a89b01536f37b0ca2afde765a921f6a89c7d46ab2bf683 |
IEDL.DBID | BENPR |
ISSN | 1099-4300 |
IngestDate | Thu Jul 04 21:05:23 EDT 2024 Fri Sep 13 03:46:04 EDT 2024 Fri Aug 23 03:47:15 EDT 2024 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 10 |
Language | English |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c358t-e1bbdadbbcc41355c84a89b01536f37b0ca2afde765a921f6a89c7d46ab2bf683 |
ORCID | 0000-0002-6975-2601 |
OpenAccessLink | https://www.proquest.com/docview/1965590302/abstract/?pq-origsite=%requestingapplication% |
PQID | 1965590302 |
PQPubID | 2032401 |
ParticipantIDs | doaj_primary_oai_doaj_org_article_4882cf6466934e858d4cccf6b333c297 proquest_journals_1965590302 crossref_primary_10_3390_e19100555 |
PublicationCentury | 2000 |
PublicationDate | 2017-10-01 |
PublicationDateYYYYMMDD | 2017-10-01 |
PublicationDate_xml | – month: 10 year: 2017 text: 2017-10-01 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | Basel |
PublicationPlace_xml | – name: Basel |
PublicationTitle | Entropy (Basel, Switzerland) |
PublicationYear | 2017 |
Publisher | MDPI AG |
Publisher_xml | – name: MDPI AG |
References | ref13 Bernardo (ref2) 1979; 41 ref15 ref14 ref11 ref10 ref1 ref16 ref19 ref18 Gelman (ref17) 1996; 6 ref24 ref23 ref26 ref20 O’Hagan (ref27) 1995; 57 ref22 ref21 Jeffreys (ref25) 1961 ref28 ref29 ref8 Rubin (ref7) 1987; 5 ref9 ref4 Stein (ref12) 1999 ref3 ref6 ref5 |
References_xml | – ident: ref11 doi: 10.1511/2009.79.310 – ident: ref10 doi: 10.1016/j.jtbi.2006.07.017 – year: 1999 ident: ref12 contributor: fullname: Stein – ident: ref3 doi: 10.1109/PROC.1982.12425 – ident: ref21 doi: 10.1214/15-BA983 – year: 1961 ident: ref25 contributor: fullname: Jeffreys – ident: ref29 – ident: ref6 doi: 10.1214/16-STS576 – ident: ref22 doi: 10.1214/06-BA117A – ident: ref24 – ident: ref20 doi: 10.1016/j.jmp.2010.07.003 – volume: 57 start-page: 99 year: 1995 ident: ref27 article-title: Fractional Bayes factors for model comparison (with discussion) publication-title: J. R. Stat. Soc. B contributor: fullname: O’Hagan – ident: ref28 doi: 10.1080/01621459.1996.10476668 – ident: ref1 doi: 10.1111/rssa.12276 – ident: ref19 doi: 10.3758/s13423-012-0300-4 – ident: ref8 doi: 10.1111/j.1751-5823.2003.tb00203.x – ident: ref13 doi: 10.1198/016214504000000241 – ident: ref5 doi: 10.1214/08-AOAS191 – ident: ref9 doi: 10.1111/j.2044-8317.2011.02037.x – volume: 41 start-page: 113 year: 1979 ident: ref2 article-title: Reference posterior distributions for Bayesian inference publication-title: J. R. Stat. Soc. B contributor: fullname: Bernardo – ident: ref4 doi: 10.1214/aos/1176346785 – volume: 5 start-page: 47 year: 1987 ident: ref7 article-title: A weak system of axioms for “rational” behavior and the non-separability of utility from prior publication-title: Stat. Decis. contributor: fullname: Rubin – ident: ref15 doi: 10.1214/08-AOS678 – ident: ref26 doi: 10.1080/01621459.1996.10477003 – ident: ref14 doi: 10.1093/biomet/ass079 – ident: ref18 doi: 10.1080/01621459.1995.10476572 – volume: 6 start-page: 215 year: 1996 ident: ref17 article-title: Bayesian model-building by pure thought: Some principles and examples publication-title: Stat. Sin. contributor: fullname: Gelman – ident: ref16 – ident: ref23 doi: 10.1214/12-BA730 |
SSID | ssj0023216 |
Score | 2.615411 |
Snippet | A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast literature on potential defaults including uniform priors,... |
SourceID | doaj proquest crossref |
SourceType | Open Website Aggregation Database |
StartPage | 555 |
SubjectTerms | Bayesian analysis Bayesian inference default priors Maximum entropy Modelling prior distribution |
SummonAdditionalLinks | – databaseName: Open Access: DOAJ - Directory of Open Access Journals dbid: DOA link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3PS8MwFA6ykxdRVJy_COK1zOYlaXN0wzlEnQcHu5X8hOFoZVbQ_96XthuKBy8em_7-XprvfTTvCyGXHDzXTvtEBICEIyclJqQi0cJpp-KfOR2Lkx8e5WTG7-Zi_m2przgnrLUHboEbYAdjNkgupQLuc5E7bi02GACwTLV15KlYi6lOagFLZesjBCjqBx5VSXSbEj_YpzHp_zUGN8Qy3iU7XUZIr9sn2SNbvtwntxg--rRaVCs60iWdBkxt6bRcftKhp7O2IKWqHF2UFDM42nhMfdS0Cs3m_eLFLxfRsPiAzMY3z6NJ0q15kFgQeZ341BhEyRhrkV6EsDnXuTJI2iADZObKaqaD85kUWrE0SNxrM8elNswEmcMh6ZVV6Y8IzfB9teMKOT_jucfrejxROWe8BgG2Ty7WWBSvrbVFgZIgAlZsAOuTYURpc0B0o24aMEZFF6Pirxj1yeka46L7RN6KaGUoFI4x7Pg_7nFCtllk3Gae3Snp1at3f4b5Qm3Om67xBYENvck priority: 102 providerName: Directory of Open Access Journals |
Title | The Prior Can Often Only Be Understood in the Context of the Likelihood |
URI | https://www.proquest.com/docview/1965590302/abstract/ https://doaj.org/article/4882cf6466934e858d4cccf6b333c297 |
Volume | 19 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEF5qe_EiiorVWhbxGmr2leQktvSBaFvEQm9hn1IsSa0R9N87m6YVEbwEspsEdmYz38zOzrcIXTNqmTTSBtxRGjDApEC5kAeSG2kSn5mTvjj5cSxGM3Y_5_MaGm1rYfy2yq1NLA21ybVfI-945juewJQkHan8KoAuOrert8CfH-XzrNVhGnuoQULmE7aNbn88fdoFX5SEYsMsRCHM71iIUzz_FP-FRyVt_x-rXELN4BAdVD4ivtso9QjVbHaMhqBQPF0v8jXuyQxPHDi7eJItv3DX4tmmRCXPDV5kGHw6XLJOfRY4d-Xtw-LVLheewvgEzQb9594oqE5BCDTlcRHYUCmQm1JaA-BwrmMm40QBjFPhaKRutCTSGRsJLhMSOgG9OjJMSEWUEzE9RfUsz-wZwhGMVxqWgBcQsdjCdy28mBijrKSc6ia62soiXW3ILlIIErzA0p3AmqjrpbR7wPNTlw35-iWtpnsKZoFoJ5gQCWU25rFhWkODopRqkkRN1NrKOK1-mvf0R8Xn_3dfoH3i0bXcU9dC9WL9YS_BNyhUG-3Fg2G7Un67jLDhOpyH30jTvaM |
link.rule.ids | 315,786,790,870,2115,12792,21416,27957,27958,33408,33779,43635,43840,74392,74659 |
linkProvider | ProQuest |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEF60HvQiiorVqot4DTXZR5KT2GJbtQ8PLfQW9inBktS2gv57Z5O0IoLH7CaBzEzmm9nd-QahG0oMFVoYj1lCPAqY5EnrM08wLXTsduaEK04eDHlvQp-mbFotuC2rY5Vrn1g4ap0rt0bedMx3LAaTDO7m757rGuV2V6sWGttohxKATlcp3uluEi4S-LxkEyKQ2jcN5CaOc4r9wqCCqv-PJy7gpXOA9qu4EN-XijxEWyY7Ql1QIn5ZpPkCt0WGRxYCXDzKZl-4ZfCkLEvJc43TDEMchwumqc8Vzm1x2U_fzCx1tMXHaNJ5GLd7XtX5wFOERSvP-FKCrKRUCkCGMRVREcUSoJtwS0J5q0QgrDYhZyIOfMthVoWaciEDaXlETlAtyzNzinAI3ys0jQH5QxoZeK-BB2OtpRGEEVVH12tZJPOS4CKBxMAJLNkIrI5aTkqbGxwndTGQL16TysQTcAWBspxyHhNqIhZpqhQMSEKICuKwjhprGSfVj7JMftR69v_0FdrtjQf9pP84fD5He4FD1-JMXQPVVosPcwGxwUpeFgbwDaZGuKQ |
linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8NAEF60BfEiiorVqot4DbXZR5KT2NpatbZFLPQW9inFktS2gv57Z9NtRQSP2U0C-WYyj93ZbxC6pMRQoYUJmCUkoOCTAmnrLBBMC524nTnhDic_9XhnSB9GbOTrn-a-rHJlEwtDrXPl1shrjvmOJaCSYc36sojBbft6-h64DlJup9W309hE5YhyBhpebrR6g-d1-kXCOl9yCxFI9GsGMhXHQMV-eaSCuP-PXS6cTXsX7fgoEd8sxbqHNky2j-5ApHgwG-cz3BQZ7lsId3E_m3zhhsHD5SGVPNd4nGGI6nDBO_W5wLktLrvjNzMZOxLjAzRst16ancD3QQgUYfEiMHUpATkplQKXw5iKqYgTCY6ccEsieaVEKKw2EWciCeuWw6yKNOVChtLymByiUpZn5gjhCL5XaJpAHBDR2MB7DTyYaC2NIIyoCrpYYZFOl3QXKaQJDrB0DVgFNRxK6xscQ3UxkM9eU6_wKRiGUFlOOU8INTGLNVUKBiQhRIVJVEHVFcap_23m6Y-Qj_-fPkdbIP20e997PEHboXO1RYFdFZUWsw9zCoHCQp55DfgGUxq-Rw |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Prior+Can+Often+Only+Be+Understood+in+the+Context+of+the+Likelihood&rft.jtitle=Entropy+%28Basel%2C+Switzerland%29&rft.au=Gelman%2C+Andrew&rft.au=Simpson%2C+Daniel&rft.au=Betancourt%2C+Michael&rft.date=2017-10-01&rft.pub=MDPI+AG&rft.eissn=1099-4300&rft.volume=19&rft.issue=10&rft.spage=555&rft_id=info:doi/10.3390%2Fe19100555&rft.externalDBID=HAS_PDF_LINK |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1099-4300&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1099-4300&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1099-4300&client=summon |