In many settings there are auxiliary data associated with an event that reflect the severity, importance, or implications of its occurrence. The associated random variable is called the mark of the event and the process as a whole is called a marked point process. Settings in which marked point processes arise include casualty insurance, where claims have an associated size; warranty claims, where interest lies both in the occurrence of claims and the cost of repairs; and medicine, where one may be interested in the costs of treatment associated with specific medical events.
KeywordsPoisson Process Recurrent Event Heat Pump Prediction Interval Predictive Distribution
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