On harmonic oscillator hazard functions

This repository contains information about the project HOH, which concerns the construction of a parametric hazard model obtained by enforcing positivity in the damped harmonic oscillator. In particular, this repository contains real data applications and R code for the survival models in:

Christen, J. A., and Rubio, F. J. (2025). On harmonic oscillator hazard functions. Statistics & Probability Letters 217: 110304. https://doi.org/10.1016/j.spl.2024.110304. Preprint: https://arxiv.org/abs/2408.15964

• The code appHO.R produces a shiny app to visualise the shapes of the harmonic oscillator hazard function for different values of the parameters.
• The code routinesHO.R contains the functions required in other codes presented in this repository.
• The code Example.R implements the real data example in Christen and Rubio (2024) (the output of this file is stored in Example.RData). The same example is also available in R Markdown in the files Example.Rmd and Example.html.
• The code bound.R implements the upper bounds presented in the proof of Proposition 2.

See also:

• On harmonic oscillator hazard functions
• ODESurv