Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian inference on the number of recurrent events: A joint model of
  recurrence and survival   The number of recurrent events before a terminating event is often of
interest. For instance, death terminates an individual's process of
rehospitalizations and the number of rehospitalizations is an important
indicator of economic cost. We propose a model in which the number of
recurrences before termination is a random variable of interest, enabling
inference and prediction on it. Then, conditionally on this number, we specify
a joint distribution for recurrence and survival. This novel conditional
approach induces dependence between recurrence and survival, which is often
present, for instance due to frailty that affects both. Additional dependence
between recurrence and survival is introduced by the specification of a joint
distribution on their respective frailty terms. Moreover, through the
introduction of an autoregressive model, our approach is able to capture the
temporal dependence in the recurrent events trajectory. A non-parametric random
effects distribution for the frailty terms accommodates population
heterogeneity and allows for data-driven clustering of the subjects. A tailored
Gibbs sampler involving reversible jump and slice sampling steps implements
posterior inference. We illustrate our model on colorectal cancer data, compare
its performance with existing approaches and provide appropriate inference on
the number of recurrent events.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an