General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv

The R package frailtySurv for simulating and fitting semi-parametric shared frailty models is introduced. Package frailtySurv implements semi-parametric consistent estimators for a variety of frailty distributions, including gamma, log-normal, inverse Gaussian and power variance function, and provid...

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Main Authors: John V. Monaco, Malka Gorfine, Li Hsu
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2018-09-01
Series:Journal of Statistical Software
Subjects:
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/2387
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author John V. Monaco
Malka Gorfine
Li Hsu
author_facet John V. Monaco
Malka Gorfine
Li Hsu
author_sort John V. Monaco
collection DOAJ
description The R package frailtySurv for simulating and fitting semi-parametric shared frailty models is introduced. Package frailtySurv implements semi-parametric consistent estimators for a variety of frailty distributions, including gamma, log-normal, inverse Gaussian and power variance function, and provides consistent estimators of the standard errors of the parameters' estimators. The parameters' estimators are asymptotically normally distributed, and therefore statistical inference based on the results of this package, such as hypothesis testing and confidence intervals, can be performed using the normal distribution. Extensive simulations demonstrate the flexibility and correct implementation of the estimator. Two case studies performed with publicly available datasets demonstrate applicability of the package. In the Diabetic Retinopathy Study, the onset of blindness is clustered by patient, and in a large hard drive failure dataset, failure times are thought to be clustered by the hard drive manufacturer and model.
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spelling doaj.art-4bf27c42f2524f00a58e5ad9baad96292022-12-21T22:16:56ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602018-09-0186114210.18637/jss.v086.i041236General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurvJohn V. MonacoMalka GorfineLi HsuThe R package frailtySurv for simulating and fitting semi-parametric shared frailty models is introduced. Package frailtySurv implements semi-parametric consistent estimators for a variety of frailty distributions, including gamma, log-normal, inverse Gaussian and power variance function, and provides consistent estimators of the standard errors of the parameters' estimators. The parameters' estimators are asymptotically normally distributed, and therefore statistical inference based on the results of this package, such as hypothesis testing and confidence intervals, can be performed using the normal distribution. Extensive simulations demonstrate the flexibility and correct implementation of the estimator. Two case studies performed with publicly available datasets demonstrate applicability of the package. In the Diabetic Retinopathy Study, the onset of blindness is clustered by patient, and in a large hard drive failure dataset, failure times are thought to be clustered by the hard drive manufacturer and model.https://www.jstatsoft.org/index.php/jss/article/view/2387shared frailty modelsurvival analysisclustered datafrailtysurvr
spellingShingle John V. Monaco
Malka Gorfine
Li Hsu
General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
Journal of Statistical Software
shared frailty model
survival analysis
clustered data
frailtysurv
r
title General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
title_full General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
title_fullStr General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
title_full_unstemmed General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
title_short General Semiparametric Shared Frailty Model: Estimation and Simulation with frailtySurv
title_sort general semiparametric shared frailty model estimation and simulation with frailtysurv
topic shared frailty model
survival analysis
clustered data
frailtysurv
r
url https://www.jstatsoft.org/index.php/jss/article/view/2387
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AT malkagorfine generalsemiparametricsharedfrailtymodelestimationandsimulationwithfrailtysurv
AT lihsu generalsemiparametricsharedfrailtymodelestimationandsimulationwithfrailtysurv