Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/13414
Título: | Nonparametric location-scale models for censored successive survival times |
Autor(es): | Keilegom, Ingrid van Uña Álvarez, Jacobo de Machado, Luís Meira |
Palavras-chave: | Bivariate distribution Conditional distribution Error distribution Progressive three-state model Recurrent events Transfer of tail information Transition probabilities |
Data: | 2011 |
Editora: | Elsevier 1 |
Revista: | Journal of Statistical Planning and Inference |
Resumo(s): | Let (T1,T2) be gap times corresponding to two consecutive events,which are observed subject to (univariate) random right-censoring.The censoring variable corresponding to the second gap time T2 will in general depend on this gap time. Suppose the vector (T1,T2) satisfies the non parametric location-scale regression model T2=m(T1)+σ(T1)ɛ, where the functions m and σ are ‘smooth’, and ɛ is independent of T1. The aim of this paper is two fold. First, we propose a nonparametric estimator of the distribution of the error variable under this model. This problem differs from others considered in the recent related literature in that the censoring acts not only on the response but also on the covariate, having no obvious solution. On the basis of the idea of transfer of tail information (Van Keilegom and Akritas,1999), we then use the proposed estimator of the error distribution to introduce non parametric estimators for important targets such as: (a) the conditional distribution of T2 given T1; (b) the bivariate distribution of the gap times; and (c) the so-called transition probabilities. The asymptotic properties of these estimators are obtained. We also illustrate through simulations, that the new estimators based on the location-scale model may be have much better than existing ones. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/13414 |
DOI: | 10.1016/j.jspi.2010.09.010 |
ISSN: | 0378-3758 |
Versão da editora: | http://www.sciencedirect.com/science/article/pii/S0378375810004210 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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JSPI.pdf | Versão Autores | 352,22 kB | Adobe PDF | Ver/Abrir |
JSPI 2011.pdf Acesso restrito! | Versão Editora | 208,35 kB | Adobe PDF | Ver/Abrir |