As an work-around, Cumulative Incidence Function (CIF) was proposed to solve this particular issue by estimating the marginal probability of a certain event as a function of its cause-specific probability and overall survival probability. Traditional methods to describe survival process, such Kaplan Meier product-limit method, are not designed to accommodate the competing nature of multiple causes to the same event, therefore they tend to produce inaccurate estimates when analyzing the marginal probability for cause-specific events. Competing risk analysis refers to a special type of survival analysis that aims to correctly estimate marginal probability of an event in the presence of competing events.
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