Open Access
April, 2019 A Survey of Threshold Regression for Time-to-event Analysis and Applications
Mei-Ling Ting Lee
Taiwanese J. Math. 23(2): 293-305 (April, 2019). DOI: 10.11650/tjm/190107


In analyzing time-to-event data, proportional hazards (PH) regression is an ubiquitous model used in many fields. PH regression, however, requires a strong assumption that is not always appropriate. Threshold regression (TR) is one of the alternative models. A first-hitting-time (FHT) survival model postulates a health status process for a patient that gradually declines until the patient dies when the health level first reaches a critical threshold. In this article, we review the development of threshold regression models and their applications.


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Mei-Ling Ting Lee. "A Survey of Threshold Regression for Time-to-event Analysis and Applications." Taiwanese J. Math. 23 (2) 293 - 305, April, 2019.


Received: 7 May 2018; Accepted: 20 December 2018; Published: April, 2019
First available in Project Euclid: 25 January 2019

zbMATH: 07055570
MathSciNet: MR3936001
Digital Object Identifier: 10.11650/tjm/190107

Primary: 62P10 , 92B15

Keywords: Boundary , Brownian motion , First hitting time , inverse Gaussian distribution , running time , stochastic process , Survival analysis , Wiener process

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

Vol.23 • No. 2 • April, 2019
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