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Bivariate Weibull regression model based on censored samples. (English) Zbl 1084.62101
Summary: The most natural parametric distribution to consider is the Weibull model because it allows for both the proportional hazards model and accelerated failure time model. We propose a new bivariate Weibull regression model based on censored samples with common covariates. There are some interesting biometrical applications which motivate to study bivariate Weibull regression models in this particular situation. We obtain maximum likelihood estimators for the parameters in the model and test the significance of the regression parameters in the model. We present a simulation study based on 1000 samples and also obtain the power of the test statistics.

MSC:
62N02 Estimation in survival analysis and censored data
62N01 Censored data models
62F10 Point estimation
62N05 Reliability and life testing
62N03 Testing in survival analysis and censored data
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