What question did this study set out to answer?

This study aims to extend the Cox regression model to analyze recurrent events with time-dependent covariates in counting processes.

Cox's Regression Model for Counting Processes: A Large Sample Study

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Randomized trial evaluates the intensity of recurrent events in multi-variable processes, suggesting new analysis methods.

This study aims to extend the Cox regression model to analyze recurrent events with time-dependent covariates in counting processes.
Discussed extension of the Cox regression model for multivariate counting processes.
Analyzed the effects of covariate processes on the intensity process.
Presented asymptotic properties of the estimators using martingale techniques.
Demonstrated the applicability of the model in statistical analysis of recurrent events.
Provided proofs showing simple structures for the estimators' properties.
Illustrated complex censoring patterns can be handled effectively.

Andersen et al. (1982) studied this question.

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