Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gaussian copula joint model for longitudinal and time-to-event data
  with random effects   Longitudinal and survival sub-models are two building blocks for joint
modelling of longitudinal and time to event data. Extensive research indicates
separate analysis of these two processes could result in biased outputs due to
their associations. Conditional independence between measurements of biomarkers
and event time process given latent classes or random effects is a common
approach for characterising the association between the two sub-models while
taking the heterogeneity among the population into account. However, this
assumption is tricky to validate because of the unobservable latent variables.
Thus a Gaussian copula joint model with random effects is proposed to
accommodate the scenarios where the conditional independence assumption is
questionable. In our proposed model, the conventional joint model assuming
conditional independence is a special case when the association parameter in
the Gaussian copula shrinks to zero. Simulation studies and real data
application are carried out to evaluate the performance of our proposed model.
In addition, personalised dynamic predictions of survival probabilities are
obtained based on the proposed model and comparisons are made to the
predictions obtained under the conventional joint model.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th