On marginals and profiled posteriors for cosmological parameter estimation

With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled posterior distribution -- the profile likelihood in a Bayesian disguise. We investigate whether maximisation, as used for the profiling, or...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Kerscher, Martin, Weller, Jochen
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.11.2024
Subjects
Parameter estimation
Online AccessGet full text

Cover

Abstract With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled posterior distribution -- the profile likelihood in a Bayesian disguise. We investigate whether maximisation, as used for the profiling, or integration, as used for the marginalisation, is more appropriate. To report results we recommend the marginal posterior distribution.
AbstractList With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled posterior distribution -- the profile likelihood in a Bayesian disguise. We investigate whether maximisation, as used for the profiling, or integration, as used for the marginalisation, is more appropriate. To report results we recommend the marginal posterior distribution.
Author Kerscher, Martin
Weller, Jochen
Author_xml – sequence: 1
  givenname: Martin
  surname: Kerscher
  fullname: Kerscher, Martin
– sequence: 2
  givenname: Jochen
  surname: Weller
  fullname: Weller, Jochen
BookMark eNqNjUEKwjAURIMoWLV3CLguxKStdi2KuHHjvoSalJQkv_7f3t8IHsDVDMzjzYYtI0SzYJlU6lCcSinXLCcahBCyPsqqUhm7PyIPGnsXtSeu44uPCNZ5kwrQZNABEreAvAMK4KF3nfZ81KiDSTM3NLmgJwdxx1Y2SUz-yy3bXy_P861IxvecuHaAGb8_rRKNEKqWTan-oz6TSD9z
ContentType Paper
Copyright 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
L6V
M7S
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
ProQuest Engineering Database
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
DatabaseTitle Publicly Available Content Database
Engineering Database
Technology Collection
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
ProQuest One Academic
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2331-8422
Genre Working Paper/Pre-Print
GroupedDBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FRJ
HCIFZ
L6V
M7S
M~E
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
ID FETCH-proquest_journals_30900362943
IEDL.DBID BENPR
IngestDate Wed Nov 06 06:02:10 EST 2024
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-proquest_journals_30900362943
OpenAccessLink https://www.proquest.com/docview/3090036294?pq-origsite=%requestingapplication%
PQID 3090036294
PQPubID 2050157
ParticipantIDs proquest_journals_3090036294
PublicationCentury 2000
PublicationDate 20241104
PublicationDateYYYYMMDD 2024-11-04
PublicationDate_xml – month: 11
  year: 2024
  text: 20241104
  day: 04
PublicationDecade 2020
PublicationPlace Ithaca
PublicationPlace_xml – name: Ithaca
PublicationTitle arXiv.org
PublicationYear 2024
Publisher Cornell University Library, arXiv.org
Publisher_xml – name: Cornell University Library, arXiv.org
SSID ssj0002672553
Score 3.5721757
SecondaryResourceType preprint
Snippet With several examples and in an analysis of the Pantheon+ supernova sample we discuss the properties of the marginal posterior distribution versus the profiled...
SourceID proquest
SourceType Aggregation Database
SubjectTerms Parameter estimation
Title On marginals and profiled posteriors for cosmological parameter estimation
URI https://www.proquest.com/docview/3090036294
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3dS8MwED9ci-Cbn_gxR0Bfg12bds2ToLSOweYQhb2NNMnAh66zma_-7V5iqg_C3hICIQnJ3f0uv7sDuM1VNVxpnVKluKJMxwlFOy6jXCF2YIyvYseqnM6y8RubLNKFd7gZT6vsZKIT1KqR1kd-l0Tc5U7h7H7zQW3VKPu76kto9CCMESlEAYQPxWz-8utlibMR2szJP0HrtEd5COFcbHR7BHt6fQz7jnQpzQlMntekFq0rTGUIQnriK2hjw8ZetO9NawhalUQ2pu6kFLHZumvLYiE2Q8ZP6OEp3JTF6-OYdgtY-ktiln9bSs4gQLSvz4EIzgW-QZYKmTFErpW22XvFMJX5SEgWXUB_10yXu4ev4CBGreyC6Vgfgm37qa9Rq26rAfTy8mngDxB706_iG1ybgwE
link.rule.ids 783,787,12777,21400,33385,33756,43612,43817
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3fS8MwED50RfTNnzidGtDX4Nam3fIkKBt1bnXIhL2VNMnAh66zmf-_l5jqg7C3QCAkobm77_rddwB3A1X0llrHVCmuKNNhRDGOSyhXiB0Y48vQsSqnWZK-s_EiXviEm_G0ysYmOkOtKmlz5PdRlzvtFM4e1p_Udo2yf1d9C41dCKxUFYKv4HGYzd5-syxh0seYOfpnaJ33GB1CMBNrXR_Bjl4dw54jXUpzAuPXFSlF7RpTGYKQnvgO2jiwtRf1R1UbglElkZUpGytFrFp3aVksxCpk_JQensLtaDh_Smmzgdx_JCb_O1J0Bi1E-_ociOBc4BtksZAJQ-RaaKveK3qxHPSFZN02dLatdLF9-gb20_l0kk-es5dLOAjRQ7vCOtaB1qb-0lfoYTfFtb_Gb4j5g-Q
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=On+marginals+and+profiled+posteriors+for+cosmological+parameter+estimation&rft.jtitle=arXiv.org&rft.au=Kerscher%2C+Martin&rft.au=Weller%2C+Jochen&rft.date=2024-11-04&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422