• Corpus ID: 14536690

Analysis of Tumorigenesis Data Using Shared Gamma Frailty Models via Bayesian Approach

  title={Analysis of Tumorigenesis Data Using Shared Gamma Frailty Models via Bayesian Approach},
  author={David D. Hanagal and Richa Sharma},
Many analysis in epidemiological and prognostic studies and in studies of event history data require methods that allow for unobserved covariates or “frailties”. We consider the shared frailty model in the frame work of parametric proportional hazard model. There are certain assumptions about the distribution of frailty and baseline distribution. Mostly gamma distribution is considered for frailty distribution and Weibull distribution for baseline hazard. In this paper also, we consider gamma… 


Comparison of Shared Gamma Frailty Models for Acute Leukemia Data
There are certain assumptions about the baseline distribution and distribution of frailty. Mostly Weibull distribution is considered for baseline hazard but we consider some different baseline
A Weibull Regression Model with Gamma Frailties for Multivariate Survival Data
A flexible baseline hazard model based on a correlated prior process is proposed and is compared with a standard Weibull model to find an appropriate model for the baseline hazard function.
A Monte Carlo method for Bayesian inference in frailty models.
This paper sets out a Bayesian representation of the model in the spirit of Kalbfleisch (1978) and discusses inference using Monte Carlo methods.
A Study of Log‐Logistic Model in Survival Analysis
In survival analysis when the mortality reaches a peak after some finite period and then slowly declines, it is appropriate to use a model which has a nonmonotonic failure rate. In this paper we
A class of multivanate failure time distributions
SUMMARY A class- of continuous multivariate lifetime distributions is proposed. The dependence between individuals in a group is modelled by a group specific quantity, which can be interpreted as an
A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
SUMMARY The application of Cox's (1972) regression model for censored survival data to epidemiological studies of chronic disease incidence is discussed. A related model for association in bivariate
Frailty Model
In this book different methods based on the frailty model are described and it is demonstrated how they can be used to analyze clustered survival data.
Log‐Logistic Regression Models for Survival Data
The log‐logistic distribution has a non‐monotonic hazard function which makes it suitable for modelling some sets of cancer survival data. A log‐logistic regression model is described in which the
The impact of heterogeneity in individual frailty on the dynamics of mortality
Calculations based on Swedish mortality data suggest that standard methods overestimate current life expectancy and potential gains in life expectancy from health and safety interventions, while underestimating rates of individual aging, past progress in reducing mortality, and mortality differentials between pairs of populations.
Some inference results in bivariate exponential distributions rased on censored samples
In this paper, two bivariate exponential distributions based on time(right) censored samples are presented. We assume that the censoring time is independent of the life-times of the two components.