Читать книгу The Statistical Analysis of Doubly Truncated Data - Prof Jacobo de Uña-Álvarez, Prof Carla Moreira - Страница 14

In some particular settings, the target variable of ultimate interest is observed only for the individuals who experience the event before a certain calendar time . A typical example of such a situation is the investigation of the incubation (or induction) times for AIDS; see for example Klein and Moeschberger (2003). The incubation time is defined as the time elapsed between the date of HIV infection, say, and the development of AIDS. If stands for the incubation time and , then the incubation times of individuals developing AIDS prior follow the distribution of conditionally on . Here, is called the right‐truncation time. An immediate effect of right‐truncation is that large values of are sampled with a relatively small probability.