FRAILTY MODELS FOR RECURRENT EVENTS WITH SHORT TERM DEPENDENCE

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GOUHARI MOHAMMAD REZA; MAHMOUDI MAHMOUD; MOHAMMAD KAZEM; PASHA E.A.

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2008 | Volume:1 | Issue:2 Page(s): 157-170

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Title

FRAILTY MODELS FOR RECURRENT EVENTS WITH SHORT TERM DEPENDENCE

Author(s)

GOUHARI MOHAMMAD REZA | MAHMOUDI MAHMOUD | MOHAMMAD KAZEM | PASHA E.A. | Issue Writer Certificate

Keywords

RECURRENT EVENTSQ4

FRAILTY MODELQ4

MIXED POISSON PROCESSESQ4

Abstract

RECURRENT EVENTS arc one type of the multivariate survival data. Correlation between observations OIl each subject is the most important feature of this type of data. This feature does not allow using the ordinary survival models. FRAILTY MODELs arc one of the main approaches to the analysis of RECURRENT EVENTS. Ordinary FRAILTY MODELs assumed the frailty is constant over time that is not realistic in many applications. In this paper we introduce a time-dependent FRAILTY MODEL. The introduced model is based on piecewise semi parametric proportional hazard and frailty variable followed a Gamma distribution. The frailty variable in the model has a gamma process that is constant during each interval and has independent increments in the beginning of each interval. vVe found a close form function for integrated likelihood function and estimated parameters of model. The efficiency of introduced model was compared with an ordinary constant gamma model by a simulation study.

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APA: Copy

GOUHARI, MOHAMMAD REZA, MAHMOUDI, MAHMOUD, MOHAMMAD, KAZEM, & PASHA, E.A.. (2008). FRAILTY MODELS FOR RECURRENT EVENTS WITH SHORT TERM DEPENDENCE. JOURNAL OF STATISTICAL SCIENCES, 1(2), 157-170. SID. https://sid.ir/paper/124109/en

Vancouver: Copy

GOUHARI MOHAMMAD REZA, MAHMOUDI MAHMOUD, MOHAMMAD KAZEM, PASHA E.A.. FRAILTY MODELS FOR RECURRENT EVENTS WITH SHORT TERM DEPENDENCE. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2008;1(2):157-170. Available from: https://sid.ir/paper/124109/en

IEEE: Copy

MOHAMMAD REZA GOUHARI, MAHMOUD MAHMOUDI, KAZEM MOHAMMAD, and E.A. PASHA, “FRAILTY MODELS FOR RECURRENT EVENTS WITH SHORT TERM DEPENDENCE,” JOURNAL OF STATISTICAL SCIENCES, vol. 1, no. 2, pp. 157–170, 2008, [Online]. Available: https://sid.ir/paper/124109/en

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