Semiparametric regression of panel count data with informative terminal event.

ABSTRACT: We study a semiparametric model for robust analysis of panel count data with an informative terminal event. To explore the explicit effect of the terminal event on recurrent events of interest, we propose a conditional mean model for a reversed counting process anchoring at the terminal event. Treating the distribution function of the terminal event as a nuisance functional parameter, we develop a predicted least squares-based two-stage estimation procedure with the spline-based sieve estimation technique, and derive the convergence rate of the proposed estimator. Furthermore, overcoming the difficulties caused by the convergence rate slower than 1∕n , we establish the asymptotic normality for the estimator of the finite-dimensional parameter and a functional of the estimator of the infini

SUBMITTER: Hu X 

PROVIDER: S-EPMC12040413 | biostudies-literature | 2023 Nov

REPOSITORIES: biostudies-literature