Publicación: BIRNBAUM-SAUNDERS FRAILTY REGRESSION MODELS FOR CLUSTERED SURVIVAL DATA
Fecha
2024
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STATISTICS AND COMPUTING
Resumen
WE PRESENT A NOVEL FRAILTY MODEL FOR MODELING CLUSTERED SURVIVAL DATA. IN PARTICULAR, WE CONSIDER THE BIRNBAUM-SAUNDERS (BS) DISTRIBUTION FOR THE FRAILTY TERMS WITH A NEW DIRECTLY PARAMETERIZED ON THE VARIANCE OF THE FRAILTY DISTRIBUTION. THIS ALLOWS, AMONG OTHER THINGS, COMPARE THE ESTIMATED FRAILTY TERMS AMONG TRADITIONAL MODELS, SUCH AS THE GAMMA FRAILTY MODEL. SOME MATHEMATICAL PROPERTIES OF THE NEW MODEL ARE STUDIED INCLUDING THE CONDITIONAL DISTRIBUTION OF FRAILTIES AMONG THE SURVIVORS, THE FRAILTY OF INDIVIDUALS DYING AT TIME T, AND THE KENDALL
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Generalized inverse Gaussian model, Frailty models, EM algorithm, Clustered survival data, Censored data
