Stable Non-Linear Generalized Bayesian Joint Models for Survival-Longitudinal Data
نویسندگان
چکیده
Joint models have received increasing attention during recent years with extensions into various directions; numerous hazard functions, different association structures, linear and non-linear longitudinal trajectories amongst others. Here, we present a partially joint model Bayesian smoothing spline component to capture where the data can assume non-Gaussian distributions. Our approach is stable regards knot set as opposed most well-known models. We implement this method using R-INLA package show that shared Gaussian random effects are part of class latent (LGMs). an illustrative example use application real skew-normal model. This paves way for efficient implementation complex components same methodology computational platform.
منابع مشابه
Bayesian Sample Size Determination for Joint Modeling of Longitudinal Measurements and Survival Data
A longitudinal study refers to collection of a response variable and possibly some explanatory variables at multiple follow-up times. In many clinical studies with longitudinal measurements, the response variable, for each patient is collected as long as an event of interest, which considered as clinical end point, occurs. Joint modeling of continuous longitudinal measurements and survival time...
متن کاملBayesian Inference for Spatial Beta Generalized Linear Mixed Models
In some applications, the response variable assumes values in the unit interval. The standard linear regression model is not appropriate for modelling this type of data because the normality assumption is not met. Alternatively, the beta regression model has been introduced to analyze such observations. A beta distribution represents a flexible density family on (0, 1) interval that covers symm...
متن کاملNon-linear Bayesian prediction of generalized order statistics for liftime models
In this paper, we obtain Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.
متن کاملNon-linear Models for Longitudinal Data.
While marginal models, random-effects models, and conditional models are routinely considered to be the three main modeling families for continuous and discrete repeated measures with linear and generalized linear mean structures, respectively, it is less common to consider non-linear models, let alone frame them within the above taxonomy. In the latter situation, indeed, when considered at all...
متن کاملLongitudinal Data Analysis Using Generalized Linear Models
This paper proposes an extension of generalized linear models to the analysis of longitudinal data. We introduce a class of estimating equations that give consistent estimates of the regression parameters and of their variance under mild assumptions about the time dependence. The estimating equations are derived without specifying the joint distribution of a subject's observations yet they redu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Sankhya A
سال: 2021
ISSN: ['0976-8378', '0976-836X']
DOI: https://doi.org/10.1007/s13171-020-00233-0