Frailty models for arbitrarily censored and truncated data

In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss th...

Full description

Saved in:
Bibliographic Details
Published in:Lifetime data analysis 2004-12, Vol.10 (4), p.369-388
Main Authors: Huber-Carol, Catherine, Vonta, Ilia
Format: Article
Language:English
Subjects:
Acquired immune deficiency syndrome
Acquired Immunodeficiency Syndrome - etiology
Acquired Immunodeficiency Syndrome - mortality
AIDS
Data Interpretation, Statistical
Female
Humans
Life Tables
Male
Mathematical models
Maximum likelihood method
Models, Statistical
Proportional Hazards Models
Sensitivity and Specificity
Statistical analysis
Studies
Survival Analysis
Transfusion Reaction
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3
cites cdi_FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3
container_end_page 388
container_issue 4
container_start_page 369
container_title Lifetime data analysis
container_volume 10
creator Huber-Carol, Catherine
Vonta, Ilia
description In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss the identifiability of the regression coefficients involved in the model which are the parameters of interest, as well as the identifiability of the baseline cumulative hazard function of the model which plays the role of the infinite dimensional nuisance parameter. We illustrate our method with the use of simulated data as well as with a set of real data on transfusion-related AIDS.
doi_str_mv 10.1007/s10985-004-4773-y
format article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00171263v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>802818351</sourcerecordid><originalsourceid>FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3</originalsourceid><addsrcrecordid>eNqFkU9LJDEQxcPisursfgAv0nhY8NBrVdLdlXgbZP0DA170HGrSaWzp6dakW-hvb4YZFLx4SlL83uNVnhAnCP8QgC4igtFlDlDkBZHK5x_iCEuSuZGFOUh3pSEnTXAojmN8hqQxlfklDrGsDBiDR-LyOnDbjXO2GWrfxawZQsZh3Y6BQ9vNmfN9HIKvM-7rbAxT73hMr5pH_i1-NtxF_2d_LsTj9f-Hq9t8dX9zd7Vc5U4ZHPOyYMCaFZWOGmyc0bR2FQOhYjIpjwTEqqk9ecKKUZnCaZZGg9brGlgtxPnO94k7-xLaDYfZDtza2-XKbmcASCgr9YaJ_btjX8LwOvk42k0bne867v0wRVuRlBqo-hZEY0ppCBJ49gV8HqbQp4WthKLE9NMqQbiDXBhiDL75yIlgt1XZXVUpamG3Vdk5aU73xtN64-tPxb4b9Q5wtYxj</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>204512493</pqid></control><display><type>article</type><title>Frailty models for arbitrarily censored and truncated data</title><source>ABI/INFORM Global</source><source>Springer Nature</source><creator>Huber-Carol, Catherine ; Vonta, Ilia</creator><creatorcontrib>Huber-Carol, Catherine ; Vonta, Ilia</creatorcontrib><description>In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss the identifiability of the regression coefficients involved in the model which are the parameters of interest, as well as the identifiability of the baseline cumulative hazard function of the model which plays the role of the infinite dimensional nuisance parameter. We illustrate our method with the use of simulated data as well as with a set of real data on transfusion-related AIDS.</description><identifier>ISSN: 1380-7870</identifier><identifier>EISSN: 1572-9249</identifier><identifier>DOI: 10.1007/s10985-004-4773-y</identifier><identifier>PMID: 15690991</identifier><language>eng</language><publisher>United States: Springer Nature B.V</publisher><subject>Acquired immune deficiency syndrome ; Acquired Immunodeficiency Syndrome - etiology ; Acquired Immunodeficiency Syndrome - mortality ; AIDS ; Data Interpretation, Statistical ; Female ; Humans ; Life Tables ; Male ; Mathematical models ; Maximum likelihood method ; Models, Statistical ; Proportional Hazards Models ; Sensitivity and Specificity ; Statistical analysis ; Studies ; Survival Analysis ; Transfusion Reaction</subject><ispartof>Lifetime data analysis, 2004-12, Vol.10 (4), p.369-388</ispartof><rights>Kluwer Academic Publishers 2004</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3</citedby><cites>FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3</cites><orcidid>0000-0003-4114-6885</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/204512493/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/204512493?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>230,314,780,784,885,11687,27923,27924,36059,36060,44362,74766</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/15690991$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00171263$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Huber-Carol, Catherine</creatorcontrib><creatorcontrib>Vonta, Ilia</creatorcontrib><title>Frailty models for arbitrarily censored and truncated data</title><title>Lifetime data analysis</title><addtitle>Lifetime Data Anal</addtitle><description>In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss the identifiability of the regression coefficients involved in the model which are the parameters of interest, as well as the identifiability of the baseline cumulative hazard function of the model which plays the role of the infinite dimensional nuisance parameter. We illustrate our method with the use of simulated data as well as with a set of real data on transfusion-related AIDS.</description><subject>Acquired immune deficiency syndrome</subject><subject>Acquired Immunodeficiency Syndrome - etiology</subject><subject>Acquired Immunodeficiency Syndrome - mortality</subject><subject>AIDS</subject><subject>Data Interpretation, Statistical</subject><subject>Female</subject><subject>Humans</subject><subject>Life Tables</subject><subject>Male</subject><subject>Mathematical models</subject><subject>Maximum likelihood method</subject><subject>Models, Statistical</subject><subject>Proportional Hazards Models</subject><subject>Sensitivity and Specificity</subject><subject>Statistical analysis</subject><subject>Studies</subject><subject>Survival Analysis</subject><subject>Transfusion Reaction</subject><issn>1380-7870</issn><issn>1572-9249</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>M0C</sourceid><recordid>eNqFkU9LJDEQxcPisursfgAv0nhY8NBrVdLdlXgbZP0DA170HGrSaWzp6dakW-hvb4YZFLx4SlL83uNVnhAnCP8QgC4igtFlDlDkBZHK5x_iCEuSuZGFOUh3pSEnTXAojmN8hqQxlfklDrGsDBiDR-LyOnDbjXO2GWrfxawZQsZh3Y6BQ9vNmfN9HIKvM-7rbAxT73hMr5pH_i1-NtxF_2d_LsTj9f-Hq9t8dX9zd7Vc5U4ZHPOyYMCaFZWOGmyc0bR2FQOhYjIpjwTEqqk9ecKKUZnCaZZGg9brGlgtxPnO94k7-xLaDYfZDtza2-XKbmcASCgr9YaJ_btjX8LwOvk42k0bne867v0wRVuRlBqo-hZEY0ppCBJ49gV8HqbQp4WthKLE9NMqQbiDXBhiDL75yIlgt1XZXVUpamG3Vdk5aU73xtN64-tPxb4b9Q5wtYxj</recordid><startdate>20041201</startdate><enddate>20041201</enddate><creator>Huber-Carol, Catherine</creator><creator>Vonta, Ilia</creator><general>Springer Nature B.V</general><general>Springer Verlag</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7WY</scope><scope>7WZ</scope><scope>7X7</scope><scope>7XB</scope><scope>87Z</scope><scope>88C</scope><scope>88E</scope><scope>88I</scope><scope>8AO</scope><scope>8C1</scope><scope>8FE</scope><scope>8FG</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>8FL</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>FYUFA</scope><scope>F~G</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K60</scope><scope>K6~</scope><scope>K9.</scope><scope>L.-</scope><scope>L6V</scope><scope>M0C</scope><scope>M0S</scope><scope>M0T</scope><scope>M1P</scope><scope>M2P</scope><scope>M7S</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>7U9</scope><scope>H94</scope><scope>7X8</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-4114-6885</orcidid></search><sort><creationdate>20041201</creationdate><title>Frailty models for arbitrarily censored and truncated data</title><author>Huber-Carol, Catherine ; Vonta, Ilia</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Acquired immune deficiency syndrome</topic><topic>Acquired Immunodeficiency Syndrome - etiology</topic><topic>Acquired Immunodeficiency Syndrome - mortality</topic><topic>AIDS</topic><topic>Data Interpretation, Statistical</topic><topic>Female</topic><topic>Humans</topic><topic>Life Tables</topic><topic>Male</topic><topic>Mathematical models</topic><topic>Maximum likelihood method</topic><topic>Models, Statistical</topic><topic>Proportional Hazards Models</topic><topic>Sensitivity and Specificity</topic><topic>Statistical analysis</topic><topic>Studies</topic><topic>Survival Analysis</topic><topic>Transfusion Reaction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Huber-Carol, Catherine</creatorcontrib><creatorcontrib>Vonta, Ilia</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ABI商业信息数据库</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>Health &amp; Medical Collection</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection</collection><collection>Healthcare Administration Database (Alumni)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Public Health Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>Business Premium Collection (Alumni)</collection><collection>Health Research Premium Collection</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>ProQuest Health &amp; Medical Complete (Alumni)</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ABI/INFORM Global</collection><collection>Health &amp; Medical Collection (Alumni Edition)</collection><collection>Healthcare Administration Database</collection><collection>Medical Database</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>Virology and AIDS Abstracts</collection><collection>AIDS and Cancer Research Abstracts</collection><collection>MEDLINE - Academic</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Lifetime data analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Huber-Carol, Catherine</au><au>Vonta, Ilia</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Frailty models for arbitrarily censored and truncated data</atitle><jtitle>Lifetime data analysis</jtitle><addtitle>Lifetime Data Anal</addtitle><date>2004-12-01</date><risdate>2004</risdate><volume>10</volume><issue>4</issue><spage>369</spage><epage>388</epage><pages>369-388</pages><issn>1380-7870</issn><eissn>1572-9249</eissn><abstract>In this paper, we propose a frailty model for statistical inference in the case where we are faced with arbitrarily censored and truncated data. Our results extend those of Alioum and Commenges (1996), who developed a method of fitting a proportional hazards model to data of this kind. We discuss the identifiability of the regression coefficients involved in the model which are the parameters of interest, as well as the identifiability of the baseline cumulative hazard function of the model which plays the role of the infinite dimensional nuisance parameter. We illustrate our method with the use of simulated data as well as with a set of real data on transfusion-related AIDS.</abstract><cop>United States</cop><pub>Springer Nature B.V</pub><pmid>15690991</pmid><doi>10.1007/s10985-004-4773-y</doi><tpages>20</tpages><orcidid>https://orcid.org/0000-0003-4114-6885</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1380-7870
ispartof Lifetime data analysis, 2004-12, Vol.10 (4), p.369-388
issn 1380-7870
1572-9249
language eng
recordid cdi_hal_primary_oai_HAL_hal_00171263v1
source ABI/INFORM Global; Springer Nature
subjects Acquired immune deficiency syndrome
Acquired Immunodeficiency Syndrome - etiology
Acquired Immunodeficiency Syndrome - mortality
AIDS
Data Interpretation, Statistical
Female
Humans
Life Tables
Male
Mathematical models
Maximum likelihood method
Models, Statistical
Proportional Hazards Models
Sensitivity and Specificity
Statistical analysis
Studies
Survival Analysis
Transfusion Reaction
title Frailty models for arbitrarily censored and truncated data
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T07%3A48%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Frailty%20models%20for%20arbitrarily%20censored%20and%20truncated%20data&rft.jtitle=Lifetime%20data%20analysis&rft.au=Huber-Carol,%20Catherine&rft.date=2004-12-01&rft.volume=10&rft.issue=4&rft.spage=369&rft.epage=388&rft.pages=369-388&rft.issn=1380-7870&rft.eissn=1572-9249&rft_id=info:doi/10.1007/s10985-004-4773-y&rft_dat=%3Cproquest_hal_p%3E802818351%3C/proquest_hal_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c391t-54a01da375c7f1fc987bc6a0713a7996920116fde7e716a1394c8a298088bd0a3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=204512493&rft_id=info:pmid/15690991&rfr_iscdi=true