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Data-driven estimation for multithreshold accelerated failure time model
Wan, Chuang1; Zeng, Hao2; Zhang, Wenyang3; Zhong, Wei4; Zou, Changliang5
2025
Source PublicationScandinavian Journal of Statistics
ABS Journal Level3
ISSN0303-6898
Volume52Issue:1Pages:447-468
Abstract

This article develops a novel estimation framework for the multithreshold accelerated failure time model, which has distinct linear forms within different subdomains. One major challenge is to determine the number of threshold effects. We first show the selection consistency of a modified Bayesian information criterion under mild conditions. It is useful sometimes but heavily depends on the penalization magnitude, which usually varies from the model configuration and data distribution. To address this issue, we leverage a cross-validation criterion alongside an order-preserved sample-splitting scheme to yield a consistent estimation. The new criterion is completely data driven without additional parameters and thus robust to model setting and data distributions. The asymptotic properties for the parameter estimates are also carefully established. Additionally, we propose an efficient score-type test to examine the existence of threshold effects. The new statistic is free of estimating any potential threshold effects and is thus suitable for multithreshold scenarios. Numerical experiments validate the reliable finite-sample performance of our methodologies, which corroborates the theoretical results.

KeywordCross-validation Information Criterion Multithreshold Accelerated Failure Time Model Sample Splitting Score Test
DOI10.1111/sjos.12758
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:001354134100001
PublisherWILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ
Scopus ID2-s2.0-85208547597
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionFaculty of Business Administration
DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Corresponding AuthorZeng, Hao
Affiliation1.Department of Statistics, School of Economics, Jinan University, Guangzhou, China
2.Department of Statistics and Data Science, Southern University of Science and Technology, Shenzhen, China
3.Faculty of Business Adminstration, University of Macau, Macao
4.MOE Key Lab of Econometrics, WISE, Department of Statistics & Data Science, School of Economics, Xiamen University, Xiamen, China
5.NITFID, School of Statistics and Data Science, LPMC and KLMDASR and LEBPS, Nankai University, Tianjin, China
Recommended Citation
GB/T 7714
Wan, Chuang,Zeng, Hao,Zhang, Wenyang,et al. Data-driven estimation for multithreshold accelerated failure time model[J]. Scandinavian Journal of Statistics, 2025, 52(1), 447-468.
APA Wan, Chuang., Zeng, Hao., Zhang, Wenyang., Zhong, Wei., & Zou, Changliang (2025). Data-driven estimation for multithreshold accelerated failure time model. Scandinavian Journal of Statistics, 52(1), 447-468.
MLA Wan, Chuang,et al."Data-driven estimation for multithreshold accelerated failure time model".Scandinavian Journal of Statistics 52.1(2025):447-468.
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