000 02498nam a2200301Ia 4500
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020 _a9781420073881
037 _cTextual
040 _aCSL
_beng
_cCSL
041 _aeng.
084 _aB28 Q1
_qCSL
100 _aWienke, Andreas
_eauthor.
_9840133
245 0 _c/ by Andreas Wienke
_aFrailty Models in Survival Analysis
260 _aBoca :
_bRaton CRC press,
_c2011.
300 _axxi, 301p.
490 _aChapman and hall/CRC biostatistica series
500 _aIncludes Appendix 243-264p.; References 265-298p.; Index 299-301p.
520 _aThe concept of frailty offers a convenient way to introduce unobserved heterogeneity and associations into models for survival data. In its simplest form, frailty is an unobserved random proportionality factor that modifies the hazard function of an individual or a group of related individuals. Frailty Models in Survival Analysis presents a comprehensive overview of the fundamental approaches in the area of frailty models The book extensively explores how univariate frailty models can represent unobserved heterogeneity. It also emphasizes correlated frailty models as extensions of univariate and shared frailty models. The author analyzes similarities and differences between frailty and copula models; discusses problems related to frailty models, such as tests for homogeneity; and describes parametric and semiparametric models using both frequentist and Bayesian approaches. He also shows how to apply the models to real data using the statistical packages of R, SAS, and Stata. The appendix provides the technical mathematical results used throughout. Written in nontechnical terms accessible to nonspecialists, this book explains the basic ideas in frailty modeling and statistical techniques, with a focus on real-world data application and interpretation of the results. By applying several models to the same data, it allows for the comparison of their advantages and limitations under varying model assumptions. The book also employs simulations to analyze the finite sample size performance of the models.
650 _aDemography.
_9840135
650 _aFailure time data analysis.
_9840137
650 _aMathmatics.
_9840138
650 _aSurvival analysis.
_9840140
650 _aStatistics.
_9840142
942 _hB28 Q1
_cTEXL
_2CC
_n0
999 _c6723
_d6723