2010
DOI: 10.1002/bimj.200900310
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Laplace regression with censored data

Abstract: We consider a regression model where the error term is assumed to follow a type of asymmetric Laplace distribution. We explore its use in the estimation of conditional quantiles of a continuous outcome variable given a set of covariates in the presence of random censoring. Censoring may depend on covariates. Estimation of the regression coefficients is carried out by maximizing a non-differentiable likelihood function. In the scenarios considered in a simulation study, the Laplace estimator showed correct cove… Show more

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Cited by 110 publications
(123 citation statements)
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“…In fact with his approach a specific probability of the event is fixed and is the time point to be estimated. Bottai et al discussed in detail about this approach in 2010 (20). The level of 0.05 was considered significant for all statistical tests.…”
Section: Discussionmentioning
confidence: 99%
“…In fact with his approach a specific probability of the event is fixed and is the time point to be estimated. Bottai et al discussed in detail about this approach in 2010 (20). The level of 0.05 was considered significant for all statistical tests.…”
Section: Discussionmentioning
confidence: 99%
“…Survival curves were generated by using the Kaplan-Meier method and compared by Gehan-Breslow-Wilcoxon test. Laplace regression 26 was used to estimate the differences in the 10th and 20th percentiles of survival time between p53 ±/- WASp ± and p53 ±/- WASp − or p53 ±/- WASp-XLN groups.…”
Section: Methodsmentioning
confidence: 99%
“…Like hazard regressions, the Laplace regression allows censoring even when censoring depends on covariates. Hazard regressions and Laplace regressions are equally appropriate for data like this, including censoring (Bottai and Zhang, 2010). A major difference between Laplace regressions and hazard regressions is that the Laplace regression estimates the results in terms of days of survival while the hazard regression estimates relative differences in mortality risk.…”
Section: Statistical Analysesmentioning
confidence: 99%