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Page 7233 of Mathematical Reviews Vol. , Issue 98K [page]

1998 Mathematical Reviews  
Statist. Assoc. 92 (1997), no. 439, 977-984. Summary: “In the censored regression model, some regression es- timators are introduced using weighted integrals of the log-rank estimating functions.  ...  Multivariate Anal. 47 (1993), no. 2, 210-229; MR 95e:62043 (Theorem 1(C))].” 98k:62075 62G05 Yang, Song (1-TXT; Lubbock, TX Extended weighted log-rank estimating functions in censored regression.  ... 

Page 3149 of Mathematical Reviews Vol. , Issue 98E [page]

1998 Mathematical Reviews  
Statist. 18 (1990), no. 1, 354-372; MR 91k:62042], extends the Theil-Sen estimator based on Kendall’s t to multiple regression, and introduces several new families of regression methods based on inverting  ...  These new families include the weighted generalised log-rank estimators and the weighted logit-rank estimators. Several estima- tors of the standard errors of the regression coefficients are given.  ... 

Robust Regression Analysis of Longitudinal Data under Censoring

Somnath Datta
2017 Austrian Journal of Statistics  
Robust R estimators of regression and autoregressive parameters are obtained. Our estimators are valid under censoring caused by detection limits.  ...  We consider regression analysis of longitudinal data when the temporal correlation is modeled by an autoregressive process.  ...  In particular, the concept of an approximate or estimated "rank" may be applied to extend other rank based inference for censored data settings.  ... 
doi:10.17713/ajs.v46i3-4.666 fatcat:blx5omr36bbflehyv4qtqknec4

A comparative simulation study for estimating accelerated failure time models

Sangbum Choi
2018 Journal of the Korean Data and Information Science Society  
Specifically, we compared (i) inverse probability of censoring weighted (IPCW) least squares, (ii) log-rank estimator, (iii) Gehan-type log-rank estimator, (iv) Buckley-James estimator, and (v) nonparametric  ...  Overall, rank-based estimators and Buckley-James estimator are efficient and relatively more robust to distributions of residual and censoring variables, whereas the IPCW estimator is very sensitive to  ...  Log-rank estimator To make an estimation in AFT model (1.1), Tsiatis (1990) and Wei et al. (1990) proposed to estimate β using a weighted log-rank estimating equation of the form U r (β) = n i=1 W  ... 
doi:10.7465/jkdi.2018.29.6.1457 fatcat:dnu5porx7rattalbyzz3a2ai24

On Huberized Calibration Regression for Censored Medical Cost Data

Brent A. Johnson
2015 Statistics in Biosciences  
We adopt Huang's (2002) estimation framework using the weighted log-rank estimating equations and investigate his proposal for robust mark-scale coefficient estimation.  ...  We use basic principles from robust estimation to define a new weighted marked process that subsequently leads to a new time-corrected robust regression calibration estimator.  ...  Kari Chansky for graciously sharing and assisting with the SWOG data.  ... 
doi:10.1007/s12561-015-9126-8 pmid:26528376 pmcid:PMC4627645 fatcat:hs2lyadcpvgqrammrhficscjfq

A Monte Carlo method for variance estimation for estimators based on induced smoothing

Z. Jin, Y. Shao, Z. Ying
2014 Biostatistics  
The method is demonstrated through the Buckley-James estimator and the weighted log-rank estimators for censored linear regression, and rank estimation for multiple event times data.  ...  An important issue in statistical inference for semiparametric models is how to provide reliable and consistent variance estimation. Brown and Wang (2005.  ...  ACKNOWLEDGMENTS We thank an associate editor and two referees for their careful reading and valuable comments. Conflict of Interest: None declared.  ... 
doi:10.1093/biostatistics/kxu021 pmid:24812418 pmcid:PMC4288129 fatcat:gihzejut55cgfdquxddijb57te

Smoothed Rank Regression With Censored Data

Glenn Heller
2007 Journal of the American Statistical Association  
A weighted rank estimating function is proposed to estimate the regression parameter vector in an accelerated failure time model with right censored data.  ...  A local distribution function is used to create a rank based estimating function that is continuous and monotone in the regression parameter vector.  ...  rank based estimates: the weighted rank regression For the normal and log Weibull error simulations, the bias is acceptable for eacĥ β, but the weighted regression estimateβ w has the most pronounced  ... 
doi:10.1198/016214506000001257 fatcat:drjjpccuz5d5nkdf23toplntia

Test-Based Interval Estimation Under the Accelerated Failure Time Model

Yichuan Zhao, Yijian Huang
2007 Communications in statistics. Simulation and computation  
Recently, Zhou (2005a) proposed to use a model-based empirical likelihood approach to interval estimation for the AFT model.  ...  The accelerated failure time (AFT) model is an important regression tool to study the association between survival time and covariates.  ...  Acknowledgments The authors would like to thank Professor Mai Zhou for making available some computer programs.  ... 
doi:10.1080/03610910701238301 fatcat:uk23bzsukbc53laka2twdkmeru

Page 9492 of Mathematical Reviews Vol. , Issue 2003m [page]

2003 Mathematical Reviews  
Whereas this conceptually simple model is a natural multivariate generalization of the accelerated failure time model, this article proposes an inference procedure by extending the weighted log-rank estimating  ...  Furthermore, a novel sample-based variance estimation procedure is proposed for 9492 estimators based on nonsmooth estimating functions in general.  ... 

CASANOVA: Permutation inference in factorial survival designs

Marc Ditzhaus, Jon Genuneit, Arnold Janssen, Markus Pauly
2021 Biometrics  
We propose inference procedures for general factorial designs with time-to-event endpoints. Similar to additive Aalen models, null hypotheses are formulated in terms of cumulative hazards.  ...  The analysis of a data set on asthma illustrates the applicability.  ...  Based on the observation time 𝑋 𝑗𝑖 = min(𝑇 𝑗𝑖 , 𝐶 𝑗𝑖 ) and its censoring status 𝛿 𝑗𝑖 = 𝐼{𝑋 𝑗𝑖 = 𝑇 𝑗𝑖 }, where 𝐼(⋅) denotes the indicator function, we like to infer hypotheses formulated  ... 
doi:10.1111/biom.13575 pmid:34608996 fatcat:x67a3keqfbdlbeybvelcw7yapq

Page 2341 of Mathematical Reviews Vol. , Issue 96d [page]

1996 Mathematical Reviews  
Statist. Assoc. 90 (1995), no. 430, 535-540. Summary: “A data-based procedure is introduced for local band- width selection for kernel estimation of a regression function at a point.  ...  Summary: “We propose a class of inverse probability of censoring weighted estimators for the parameters of models for the depen- dence of the mean of a vector of correlated response variables on a vector  ... 

A new modeling and inference approach for the Systolic Blood Pressure Intervention Trial outcomes

Song Yang, Walter T Ambrosius, Lawrence J Fine, Adam P Bress, William C Cushman, Dominic S Raj, Shakaib Rehman, Leonardo Tamariz
2018 Clinical Trials  
The inference procedures are based on a new model which contains the proportional hazards model as a sub-model. The temporal pattern of the treatment effect can then be expressed and displayed.  ...  The test of the null hypothesis uses adaptive weights that often lead to improvement in power over the log-rank test.  ...  For a full list of contributors to SPRINT, please see the supplementary acknowledgment list: https://www.sprinttrial.org/public/ dspScience.cfm. Forest University: UL1TR 001420.  ... 
doi:10.1177/1740774518769865 pmid:29671345 fatcat:ohzwfb6zmnbwrmbxx5q37bc3l4

Rank-based inference for the accelerated failure time model

Z. Jin
2003 Biometrika  
The new estimators represent consistent roots of the non-monotone estimating equations based on the familiar weighted log-rank statistics.  ...  S A broad class of rank-based monotone estimating functions is developed for the semiparametric accelerated failure time model with censored observations.  ...  The authors thank the reviewers for their helpful comments. Software implementing the proposed methods is available from the authors.  ... 
doi:10.1093/biomet/90.2.341 fatcat:t6m64xl4wvcltfbn7wnbzatrpi

Polynomial-Based Smoothing Estimation for a Semiparametric Accelerated Failure Time Partial Linear Model

Wei Chen, Fengling Ren
2020 OALib  
Due to its non-smoothness, which will lead to computational challenge in estimating standard error, we propose a polynomial-based smoothing Gehan estimating function and compute the estimate of the parameters  ...  We propose to approximate the nonparametric component by cubic B-splines and construct a Gehan estimating function similar to that under the AFT model.  ...  is also reflected in the rank-based inference problem for the AFT model with censored data.  ... 
doi:10.4236/oalib.1106824 fatcat:o3sas2gyprdpdngh3a2adftxyu

Review of statistical methods for survival analysis using genomic data

Seungyeoun Lee, Heeju Lim
2019 Genomics & Informatics  
Only the occurrence of either time to event or censoring time is observed. Many traditional statistical methods have been effectively used for analyzing survival data with censored observations.  ...  model with high-dimensional genomic data.  ...  A log-rank test was originally proposed for one-sample problems [16] , but was easily extended to the nonparametric two-sample comparisons of censored data [4, 17] .  ... 
doi:10.5808/gi.2019.17.4.e41 pmid:31896241 pmcid:PMC6944043 fatcat:dw7rubh7v5a3hcgptsyqnydk6a
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