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Bootstrap for the conditional distribution function with truncated and censored data |
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| Authors: | M C Iglesias Pérez W González Manteiga |
| Institution: | (1) Department de Estadística e Investigación Operativa, Escuela Universitaria de Ingeniería Técnica Forestal, Universidad de Vigo, Gampus de Pontevedra, 36005 Pontevedra, Spain;(2) Departamento de Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Santiago de Compostela, Campus Sur, Santiago de Compostela, 15706, Spain |
| Abstract: | We propose a resampling method for left truncated and right censored data with covariables to obtain a bootstrap version of the conditional distribution function estimator. We derive an almost sure representation for this bootstrapped estimator and, as a consequence, the consistency of the bootstrap is obtained. This bootstrap approximation represents an alternative to the normal asymptotic distribution and avoids the estimation of the complicated mean and variance parameters of the latter. |
| Keywords: | Censored data truncated data kernal estimator generalized product-limit estimator bootstrapped estimator asymptotic representation consistency |
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