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Nonparametric estimation of the conditional bivariate distribution function of censored gap times

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Detalhes bibliográficos
Resumo:A major goal in recurrent events analysis is to estimate the bivariate distribution function. This estimation is crucial across various fields and applications, as it helps clarify the patterns of recurring events and their underlying patterns. ’Gap time’ refers to the duration between consecutive occurrences of an event, while the bivariate distribution function represents the joint probability distribution of two such gap times. Despite significant advancements in this area, most existing methods assume independent censoring and neglect the impact of covariates. Therefore, the primary aim of this paper is to develop and introduce nonparametric estimation methods for the bivariate distribution function that incorporate covariate measures. This study seeks to provide more precise and applicable tools for analyzing recurrent event data, thereby enhancing the understanding and interpretation of such events in practical scenarios.
Autores principais:Soutinho, Gustavo
Outros Autores:Machado, Luís Meira
Assunto:Beran estimator Bivariate distribution Conditional survival Dependent censoring Kaplan-Meier estimator Gap times Ciências Naturais::Matemáticas Saúde de qualidade
Ano:2024
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:A major goal in recurrent events analysis is to estimate the bivariate distribution function. This estimation is crucial across various fields and applications, as it helps clarify the patterns of recurring events and their underlying patterns. ’Gap time’ refers to the duration between consecutive occurrences of an event, while the bivariate distribution function represents the joint probability distribution of two such gap times. Despite significant advancements in this area, most existing methods assume independent censoring and neglect the impact of covariates. Therefore, the primary aim of this paper is to develop and introduce nonparametric estimation methods for the bivariate distribution function that incorporate covariate measures. This study seeks to provide more precise and applicable tools for analyzing recurrent event data, thereby enhancing the understanding and interpretation of such events in practical scenarios.

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