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Variance Estimation for Statistics Computed from Single Recurrent Event Processes
Author(s) -
Guan Yongtao,
Yan Jun,
Sinha Rajita
Publication year - 2011
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2011.01559.x
Subject(s) - statistics , variance (accounting) , event (particle physics) , estimation , computer science , mathematics , econometrics , physics , accounting , quantum mechanics , business , management , economics
Summary This article is concerned with variance estimation for statistics that are computed from single recurrent event processes. Such statistics are important in diagnosis for each individual recurrent event process. The proposed method only assumes a semiparametric form for the first‐order structure of the processes but not for the second‐order (i.e., dependence) structure. The new variance estimator is shown to be consistent for the target parameter under very mild conditions. The estimator can be used in many applications in semiparametric rate regression analysis of recurrent event data such as outlier detection, residual diagnosis, as well as robust regression. A simulation study and application to two real data examples are used to demonstrate the use of the proposed method.