On sufficient dimension reduction for proportional censorship model with covariates
نویسنده
چکیده
The requirement of constant censoring parameter β in Koziol–Green (KG) model is too restrictive. When covariates are present, the conditional KG model (Veraverbekea and Cadarso-Suárez, 2000) which allows β to be dependent on the covariates is more realistic. In this paper, using sufficient dimension reduction methods, we provide a model-free diagnostic tool to test if β is a function of the covariates. Our method also allows us to conduct a model-free selection of the related covariates. A simulation study and a real data analysis are also included to illustrate our approach. © 2010 Elsevier B.V. All rights reserved.
منابع مشابه
Sufficient Dimension Reduction and Modeling Responses Conditioned on Covariates: An Integrated Approach via Convex Optimization
Given observations of a collection of covariates and responses (Y,X) ∈ R × R, sufficient dimension reduction (SDR) techniques aim to identify a mapping f : R → R with k q such that Y |f(X) is independent of X. The image f(X) summarizes the relevant information in a potentially large number of covariates X that influence the responses Y . In many contemporary settings, the number of responses p ...
متن کاملMatching Using Sufficient Dimension Reduction for Causal Inference
To estimate casual treatment effects, we propose a new matching approach based on the reduced covariates obtained from sufficient dimension reduction. Compared to the original covariates and the propensity score, which are commonly used for matching in the literature, the reduced covariates are estimable nonparametrically under a mild assumption on the original covariates, and are sufficient an...
متن کاملA multi-stage stochastic programming for condition-based maintenance with proportional hazards model
Condition-Based Maintenance (CBM) optimization using Proportional Hazards Model (PHM) is a kind of maintenance optimization problem in which inspections of a system relevant to its failure rate depending on the age and value of covariates are performed in time intervals. The general approach for constructing a CBM based on PHM for a system is to minimize a long run average cost per unit of time...
متن کاملSufficient Dimension Reduction Summaries
Observational studies assessing causal or non-causal relationships between an explanatory measure and an outcome can be complicated by hosts of confounding measures. Large numbers of confounders can lead to several biases in conventional regression based estimation. Inference is more easily conducted if we reduce the number of confounders to a more manageable number. We discuss use of sufficien...
متن کاملAssessing Patient Survival Using Microarray Gene Expression Data Via Partial Least Squares Proportional Hazard Regression
High dimensional data sets from microarray experiments where the number of variables (genes) p far exceed the number of samples N render most traditional statistical tools of little direct use. However, some of these statistical tools when used in conjunction with an appropriate dimension reduction method can be effective. In this paper we introduce the use the proportional hazard (PH) regressi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computational Statistics & Data Analysis
دوره 54 شماره
صفحات -
تاریخ انتشار 2010