Additive hazards models for interval-censored semi-competing risks data with missing intermediate events

Analysis of Competing Risks Data with Missing Cause of Failure under Additive Hazards Model

Competing risks data arise when study subjects may experience several different types of failure. It is common that the cause of failure is missing due to various reasons. Analysis of competing risks data with missing cause of failure has received considerable attention recently (Goetghebeur and Ryan (1995), Lu and Tsiatis (2001), Gao and Tsiatis (2005), among others). In this article, we study...

Semiparametric Additive Risks Model for Interval-censored Data

Interval-censored event time data often arise in medical and public health studies. In such a setting, the exact time of the event of interest cannot be observed and is only known to fall between two monitoring times. Our interest focuses on the estimation of the effect of risk factors on interval-censored data under the semiparametric additive hazards model. A nonparametric step-function is us...

Analysis of Partly Interval-Censored Data under Competing Risks Framework

Consistency of the Semi-Parametric MLE under the Piecewise Proportional Hazards Models with Interval-Censored Data

For a random variable Y, denote its survival function by ( ) ( ) = SY t P Y t > , its density function by ( ) fY t , and its hazard function by ( ) ( ( ) ) Y fY t h t SY t = − . Given a covariate (vector) Z which does not depend on time Y,(Z,Y) follows a time-independent covariate PH (TIPH) model or Cox’s regression model if the conditional hazard function of | Y Z is ( ) ( ) | ( ) | | , Z Y z ...

Additive Hazard Model with Additive Frailty for Semi-Competing Risks Data

We proposed an illness-death model with Lin and Ying's additive hazard and additive frailty for the regression analysis on semi-competing risks problem in a general morbidity/mortality process. Comparing with the Cox-type hazard, the additive hazard function is more natural and properly partitions the effect of the covariate on one transition into the other transition, internal consistency in t...