Competing risks survival analysis with recurrent events

The competing risks too arise when one type of event may affect the probability of occurrence of other events. Some authors have made important contributions in this area of research, multistate multivariate models have been proposed. Varieties of record are frequently encountered in areas as medicine, engineering, sociology, biology, social science, among others. Classical survival analysis models in competing risks of multiple non-recurrent single events are possible to generalize to multiple recurrent events. This paper presents and reviews the formulation of a competing risks model with recurrent events and standard methods. The objective of this paper is to propose a model in competing risks to recurrent events. The data in the models in classical competing risks usually arises in studies in which the k events of a subject are considered as independent, mutually exclusive and not recurrent events, with (k>1). This work also illustrated the methodology to apply the proposed model and an example with simulated data is developed. The estimations of the methods presented here are calculated using the R package. Counting processes are used. Some routines of R language are show and used to estimate functions of the model in competing risks with recurrent events.