BIOMARKER CHANGE-POINT ESTIMATION WITH RIGHT CENSORING IN LONGITUDINAL STUDIES

被引：3

作者：

Tang, Xiaoying ^{[1
]}

Miller, Michael I. ^{[2
]}

Younes, Laurent ^{[2
]}

机构：

[1] Sun Yat Sen Univ, SYSU CMU Joint Inst Engn, Guangzhou Higher Educ Mega Ctr, 132 East Waihuan Rd, Guangzhou 510006, Guangdong, Peoples R China

[2] Johns Hopkins Univ, Ctr Imaging Sci, 3400 N Charles St, Baltimore, MD 21218 USA

来源：

ANNALS OF APPLIED STATISTICS | 2017年 / 11卷 / 03期

基金：

美国国家卫生研究院; 美国国家科学基金会; 中国国家自然科学基金;

关键词：

Change-point estimation; right censoring; medical imaging; MILD COGNITIVE IMPAIRMENT; HAZARD REGRESSION-MODEL; ALZHEIMERS-DISEASE; 2-PHASE REGRESSION; PREDICT DEMENTIA; AMYGDALA; ATROPHY; SHAPE; DIFFEOMORPHOMETRY; INFERENCE;

D O I：

10.1214/17-AOAS1056

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider in this paper a statistical two-phase regression model in which the change point of a disease biomarker is measured relative to another point in time, such as the manifestation of the disease, which is subject to right-censoring (i.e., possibly unobserved over the entire course of the study). We develop point estimation methods for this model, based on maximum likelihood, and bootstrap validation methods. The effectiveness of our approach is illustrated by numerical simulations, and by the estimation of a change point for amygdalar atrophy in the context of Alzheimer's disease, wherein it is related to the cognitive manifestation of the disease.

引用

页码：1738 / 1762

页数：25

共 50 条

[1] Inference under right censoring for transformation models with a change-point based on a covariate threshold
Kosorok, Michael R.
Song, Rui
[J]. ANNALS OF STATISTICS, 2007, 35 (03): : 957 - 989
[2] Estimation of Change-Point Models
Bai L.
[J]. Journal of Mathematical Sciences, 2022, 262 (4) : 425 - 441
[3] ESTIMATION UP TO A CHANGE-POINT
FOSTER, DP
GEORGE, EI
[J]. ANNALS OF STATISTICS, 1993, 21 (02): : 625 - 644
[4] NONPARAMETRIC CHANGE-POINT ESTIMATION
CARLSTEIN, E
[J]. ANNALS OF STATISTICS, 1988, 16 (01): : 188 - 197
[5] Estimation of a change point in the hazard rate of Lindley model under right censoring
Joshi, Savitri
Jose, K. K.
Bhati, Deepesh
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (05) : 3563 - 3574
[6] Change-point estimation in ARCH models
Kokoszka, P
Leipus, R
[J]. BERNOULLI, 2000, 6 (03) : 513 - 539
[7] Change-Point Estimates in Longitudinal Binary Data
吴筱如
杨瑛
[J]. Tsinghua Science and Technology, 2008, (04) : 553 - 559
[8] Non-parametric estimation for the location of a change-point in an otherwise smooth hazard function under random censoring
Antoniadis, A
Gijbels, I
Macgibbon, B
[J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2000, 27 (03) : 501 - 519
[9] ESTIMATION OF A CHANGE-POINT IN THE WEIBULL REGRESSION MODEL
Palmeros-Rojas, Oscar
Villasenor-Alva, Jose A.
Tajonar-Sanabria, Francisco S.
[J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2014, 43 (02) : 107 - 118
[10] Change-point estimation for censored regression model
Zhan-feng WANG
[J]. Science China Mathematics, 2007, (01) : 63 - 72

← 1 2 3 4 5 →