Lifetime Models with Nonconstant Shape Parameters
In its standard form, a lifetime regression model usually assumes that the time until an event occurs has a constant shape parameter and a scale parameter that is a function of covariates. In this paper we consider lifetime models with shape parameter dependent on a vector of covariates. Two specia...
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Format: | Article |
Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2003-11-01
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Series: | Revstat Statistical Journal |
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Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/4 |
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author | Josmar Mazucheli Francisco Louzada-Neto Jorge Alberto Achcar |
author_facet | Josmar Mazucheli Francisco Louzada-Neto Jorge Alberto Achcar |
author_sort | Josmar Mazucheli |
collection | DOAJ |
description |
In its standard form, a lifetime regression model usually assumes that the time until an event occurs has a constant shape parameter and a scale parameter that is a function of covariates. In this paper we consider lifetime models with shape parameter dependent on a vector of covariates. Two special models are considered, the Weibull model and a mixture model incorporating long-term survivors, when we consider that the incidence probability is also dependent on covariates. Classical parameters estimation approach is considered on two real data sets.
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first_indexed | 2024-12-10T23:59:39Z |
format | Article |
id | doaj.art-c775a0e2706f4daeb78377ff36518837 |
institution | Directory Open Access Journal |
issn | 1645-6726 2183-0371 |
language | English |
last_indexed | 2024-12-10T23:59:39Z |
publishDate | 2003-11-01 |
publisher | Instituto Nacional de Estatística | Statistics Portugal |
record_format | Article |
series | Revstat Statistical Journal |
spelling | doaj.art-c775a0e2706f4daeb78377ff365188372022-12-22T01:28:31ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712003-11-011110.57805/revstat.v1i1.4Lifetime Models with Nonconstant Shape ParametersJosmar Mazucheli 0Francisco Louzada-Neto 1Jorge Alberto Achcar 2Universidade Estadual de MaringáUniversidade Federal de São CarlosUniversidade Federal de São Carlos In its standard form, a lifetime regression model usually assumes that the time until an event occurs has a constant shape parameter and a scale parameter that is a function of covariates. In this paper we consider lifetime models with shape parameter dependent on a vector of covariates. Two special models are considered, the Weibull model and a mixture model incorporating long-term survivors, when we consider that the incidence probability is also dependent on covariates. Classical parameters estimation approach is considered on two real data sets. https://revstat.ine.pt/index.php/REVSTAT/article/view/4accelerated life testsbootstraplong-term survivorsnonconstant shape parameterWeibull distribution |
spellingShingle | Josmar Mazucheli Francisco Louzada-Neto Jorge Alberto Achcar Lifetime Models with Nonconstant Shape Parameters Revstat Statistical Journal accelerated life tests bootstrap long-term survivors nonconstant shape parameter Weibull distribution |
title | Lifetime Models with Nonconstant Shape Parameters |
title_full | Lifetime Models with Nonconstant Shape Parameters |
title_fullStr | Lifetime Models with Nonconstant Shape Parameters |
title_full_unstemmed | Lifetime Models with Nonconstant Shape Parameters |
title_short | Lifetime Models with Nonconstant Shape Parameters |
title_sort | lifetime models with nonconstant shape parameters |
topic | accelerated life tests bootstrap long-term survivors nonconstant shape parameter Weibull distribution |
url | https://revstat.ine.pt/index.php/REVSTAT/article/view/4 |
work_keys_str_mv | AT josmarmazucheli lifetimemodelswithnonconstantshapeparameters AT franciscolouzadaneto lifetimemodelswithnonconstantshapeparameters AT jorgealbertoachcar lifetimemodelswithnonconstantshapeparameters |