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Additive time-dependent hazard model with doubly truncated data
Authors:Gordon Frank  Minwoo Chae  Yongdai Kim
Institution:1. Faculty for Economic and Social Sciences, University of Rostock, Germany;2. Department of Mathematics, Applied Mathematics and Statistics, Case Western Reserve University, United States;3. Department of Statistics, Seoul National University, Republic of Korea
Abstract:For doubly truncated data, i.e. the variables of interest are only observable if they lie in a certain random interval, an additive hazard model with time-dependent regression coefficients is investigated. Consistency and asymptotic normality are proven under mild assumptions. A simulation study investigates the finite sample properties and the influence of the truncation distribution on the estimation error. Finally, the method is applied to a doubly truncated data set of German companies, where the age at insolvency is of interest.
Keywords:Corresponding author    primary  62N01  secondary  62N02  Additive hazard model  Insolvency risk  Non-parametric  Random double-truncation  Time-dependent regression coefficients
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