Consistency of the Semi-Parametric MLE under the Piecewise Proportional Hazards Models with Interval-Censored Data
ثبت نشده
چکیده
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 h t z h t z ho t e for t β τ = = < (1.1)
منابع مشابه
Meta-heuristic algorithms for parameter estimation of semi-parametric linear regression models
Consider the semi-parametric linear regression model Y = ′X+ , where has an unknown distribution F0. The semi-parametric MLE ̃ of under this set-up is called the generalized semi-parametric MLE(GSMLE).Although the GSML estimation of the linear regression model is statistically appealing, it has never been attempted due to difficulties with obtaining the GSML estimates of and F until recent work...
متن کاملParametric proportional hazards and accelerated failure time models
A unified implementation of parametric proportional hazards (PH) and accelerated failure time (AFT) models for right-censored or intervalcensored and left-truncated data is described. The description here is válid for time-constant covariates, but the necessary modifications for handling time-varying covariates are implemented in eha. Note that only piecewise constant time variation is handled.
متن کاملSemi-Nonparametric Modeling of Densities on the Unit Interval, with Application to Interval-Censored Mixed Proportional Hazard Models: Identification and Consistency Results
In this paper I propose to estimate densities with possibly restricted support semi-nonparametrically (SNP) using SNP densities on the unit interval based on orthonormal Legendre polynomials. This approach will be applied to the interval censored mixed proportional hazard (ICMPH) model, where the distribution of the unobserved heterogeneity is modeled semi-nonparametrically. Various conditions ...
متن کاملThe evaluation of Cox and Weibull proportional hazards models and their applications to identify factors influencing survival time in acute leukem
Introduction: The most important models used in analysis of survival data is proportional hazards models. Applying this model requires establishment of the relevance proportional hazards assumption, otherwise it world lead to incorrect inference. This study aims to evaluate Cox and Weibull models which are used in identification of effective factors on survival time in acute leukemia. Me...
متن کاملStratified Weibull Regression Model for Interval-Censored Data.
Interval censored outcomes arise when a silent event of interest is known to have occurred within a specific time period determined by the times of the last negative and first positive diagnostic tests. There is a rich literature on parametric and non-parametric approaches for the analysis of interval-censored outcomes. A commonly used strategy is to use a proportional hazards (PH) model with t...
متن کامل