Gradient and likelihood ratio tests in cure rate models

Carneiro, Hérica P. A; Valença, Dione M.

Gradient and likelihood ratio tests in cure rate models

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dc.contributor.author	Carneiro, Hérica P. A
dc.contributor.author	Valença, Dione M.
dc.date.accessioned	2019-05-17T13:23:29Z
dc.date.available	2019-05-17T13:23:29Z
dc.date.issued	2016-06-11
dc.description.resumo	In some survival studies part of the population may be no longer subject to the event of interest. The called cure rate models take this fact into account. They have been extensively studied for several authors who have proposed extensions and applications in real lifetime data. Classic large sample tests are usually considered in these applications, especially the likelihood ratio. Recently a new test called gradient test has been proposed. The gradient statistic shares the same asymptotic properties with the classic likelihood ratio and does not involve knowledge of the information matrix, which can be an advantage in survival models. Some simulation studies have been carried out to explore the behavior of the gradient test in finite samples and compare it with the classic tests in different models. However little is known about the properties of these large sample tests in finite sample for cure rate models. In this work we performed a simulation study based on the promotion time model with Weibull distribution, to assess the performance of likelihood ratio and gradient tests in finite samples. An application is presented to illustrate the results.	pt_BR
dc.identifier.citation	CARNEIRO, Hérica P. A. ; VALENÇA, Dione M. Gradient and Likelihood Ratio Tests in Cure Rate Models. International Journal of Statistics and Probability, v. 5, n.4, p. 9, 2016. Disponível em: <http://www.ccsenet.org/journal/index.php/ijsp/article/download/58419/33303>. Acesso em: 06 dez. 2017.	pt_BR
dc.identifier.doi	10.5539/ijsp.v5n4p9
dc.identifier.issn	1927-7040
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/27095
dc.language	pt_BR	pt_BR
dc.publisher	Canadian Center of Science and Education	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.subject	Survival analysis	pt_BR
dc.subject	Unified model	pt_BR
dc.subject	Promotion time model	pt_BR
dc.subject	Gradient statistic	pt_BR
dc.title	Gradient and likelihood ratio tests in cure rate models	pt_BR
dc.type	article	pt_BR