Browsing by Subject "Bernstein polynomials"

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    Sieve estimation of a class of partially linear transformation models with interval-censored competing risks data
    (Academia Sinica, 2023) Lu, Xuewen; Wang, Yan; Bandyopadhyay, Dipankar; Bakoyannis, Giorgos; Biostatistics and Health Data Science, Richard M. Fairbanks School of Public Health
    In this paper, we consider a class of partially linear transformation models with interval-censored competing risks data. Under a semiparametric generalized odds rate specification for the cause-specific cumulative incidence function, we obtain optimal estimators of the large number of parametric and nonparametric model components via maximizing the likelihood function over a joint B-spline and Bernstein polynomial spanned sieve space. Our specification considers a relatively simpler finite-dimensional parameter space, approximating the infinite-dimensional parameter space as n → ∞, thereby allowing us to study the almost sure consistency, and rate of convergence for all parameters, and the asymptotic distributions and efficiency of the finite-dimensional components. We study the finite sample performance of our method through simulation studies under a variety of scenarios. Furthermore, we illustrate our methodology via application to a dataset on HIV-infected individuals from sub-Saharan Africa.