A set of flexible routines to allow semiparametric survival regression modeling based on Bernstein polynomial, including Bernstein based proportinal hazards model (BPPH), Bernstein polynomial based proportional odds model (BPPO) and Bernstein based accelerated failure time model (BPAFT) for right-censored data.
none
spbp fits semi-parametric models for time-to-event survival data.
Non-informative right-censoring assumption is available. Any user-defined Bernstein polynomial can
be user-defined using an arbitrary degree, i.e. highest basis polynomials order.
The framework takes advantage of fully likelihood methods since the polynomial parameters are used to estimate the baseline functions. Even so, this is said to be semi-parametric since this approach does not rely on any distribution. Unlike the Cox model, the BP based models provide smooth hazard and survival curve estimates.
Panaro R.V. (2020). spsurv: An R package for semi-parametric survival analysis. arXiv preprint arXiv:2003.10548.
Demarqui, F. N., & Mayrink, V. D. (2019). A fully likelihood-based approach to model survival data with crossing survival curves. arXiv preprint arXiv:1910.02406.
Demarqui, F. N., Mayrink, V. D., & Ghosh, S. K. (2019). An Unified Semiparametric Approach to Model Lifetime Data with Crossing Survival Curves. arXiv preprint arXiv:1910.04475.
Osman, M., & Ghosh, S. K. (2012). Nonparametric regression models for right-censored data using Bernstein polynomials. Computational Statistics & Data Analysis, 56(3), 559-573.
Lorentz, G. G. (1953). Bernstein polynomials. American Mathematical Society.