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Full-Text Articles in Physical Sciences and Mathematics
Jackknife Empirical Likelihood For The Accelerated Failure Time Model With Censored Data, Maxime K. Bouadoumou
Jackknife Empirical Likelihood For The Accelerated Failure Time Model With Censored Data, Maxime K. Bouadoumou
Mathematics Theses
Kendall and Gehan estimating functions are used to estimate the regression parameter in accelerated failure time (AFT) model with censored observations. The accelerated failure time model is the preferred survival analysis method because it maintains a consistent association between the covariate and the survival time. The jackknife empirical likelihood method is used because it overcomes computation difficulty by circumventing the construction of the nonlinear constraint. Jackknife empirical likelihood turns the statistic of interest into a sample mean based on jackknife pseudo-values. U-statistic approach is used to construct the confidence intervals for the regression parameter. We conduct a simulation study …
A New Jackknife Empirical Likelihood Method For U-Statistics, Zhengbo Ma
A New Jackknife Empirical Likelihood Method For U-Statistics, Zhengbo Ma
Mathematics Theses
U-statistics generalizes the concept of mean of independent identically distributed (i.i.d.) random variables and is widely utilized in many estimating and testing problems. The standard empirical likelihood (EL) for U-statistics is computationally expensive because of its onlinear constraint. The jackknife empirical likelihood method largely relieves computation burden by circumventing the construction of the nonlinear constraint. In this thesis, we adopt a new jackknife empirical likelihood method to make inference for the general volume under the ROC surface (VUS), which is one typical kind of U-statistics. Monte Carlo simulations are conducted to show that the EL confidence intervals perform well in …