A class of additive transformation models for recurrent gap times. Issue 16 (17th August 2020)

• Record Type: Journal Article
• Authors: Chen, Ling; Feng, Yanqin; Sun, Jianguo
• Is Part Of: Communications in statistics. Volume 49:Issue 16(2020)
• Page Start: 4030
• Page End: 4045
• Publication Date: 2020-08-17
• Subjects: Additive transformation model -- gap times -- latent variable -- recurrent event data -- within-cluster resampling; 62N01 -- 62N02 -- 62G09; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2019.1594299
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: The gap time between recurrent events is often of primary interest in many fields such as medical studies, and in this article, we discuss regression analysis of the gap times arising from a general class of additive transformation models. For the problem, we propose two estimation procedures, the modified within-cluster resampling (MWCR) method and the weighted risk-set (WRS) method, and the proposed estimators are shown to be consistent and asymptotically follow the normal distribution. In particular, the estimators have closed forms and can be easily determined, and the methods have the advantage of leaving the correlation among gap times arbitrary. A simulation study is conducted for assessing the finite sample performance of the presented methods and suggests that they work well in practical situations. Also the methods are applied to a set of real data from a chronic granulomatous disease (CGD) clinical trial.