Bayesian Threshold Regression Model with Random Effects for Recurrent Events

Verfasser / Beitragende:
[P. Economou, S. Malefaki, C. Caroni]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/4(2015-12-01), 871-898
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-015-9445-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-015-9445-8 
245 0 0 |a Bayesian Threshold Regression Model with Random Effects for Recurrent Events  |h [Elektronische Daten]  |c [P. Economou, S. Malefaki, C. Caroni] 
520 3 |a It is of practical importance to extend time-to-event models in order to be applicable in situations with recurrent events on the same individual or machine. The model proposed here extends in this direction a threshold regression model with random individual effects, in which event times are modeled as realizations of the first hitting times of an underlying Wiener process, leading to Inverse Gaussian distributions of times between events. In our approach, the parameters of the distribution of an event time may depend on features of the process (such as number of previous events and total elapsed time) as well as on measured, possibly time varying, covariates and the individuals' random effects. A Bayesian approach is adopted for model estimation using an improved MCMC algorithm, which guarantees a proper choice of proposal distribution at any step of the hybrid Gibbs sampler when this is required. Model fitting is investigated using simulated data and the model is applied to a set of real data on drug users who made repeated contacts with treatment services. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Survival analysis  |2 nationallicence 
690 7 |a Recurrent events  |2 nationallicence 
690 7 |a Wiener process  |2 nationallicence 
690 7 |a First hitting time regression  |2 nationallicence 
690 7 |a Inverse Gaussian distribution  |2 nationallicence 
700 1 |a Economou  |D P.  |u Department of Civil Engineering, University of Patras, 26504, Rion-Patras, Greece  |4 aut 
700 1 |a Malefaki  |D S.  |u Department of Mechanical Engineering and Aeronautics, University of Patras, 26504, Rion-Patras, Greece  |4 aut 
700 1 |a Caroni  |D C.  |u Department of Mathematics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 871-898  |x 1387-5841  |q 17:4<871  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-015-9445-8  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-015-9445-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Economou  |D P.  |u Department of Civil Engineering, University of Patras, 26504, Rion-Patras, Greece  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Malefaki  |D S.  |u Department of Mechanical Engineering and Aeronautics, University of Patras, 26504, Rion-Patras, Greece  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Caroni  |D C.  |u Department of Mathematics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 871-898  |x 1387-5841  |q 17:4<871  |1 2015  |2 17  |o 11009