RT journal article
T1 A shiny app for modeling the lifetime in primary breast cancer patients through phase-type distributions
A1 Acal, Christian
A1 Contreras, Elena
A1 Montero Lopez, José Ismael
A1 Ruiz Castro, Juan Eloy
A2 Estadística e Investigación Operativa
K1 phase-type distributions
K1 modelling
K1 lifetime
K1 shiny
K1 interactive app
K1 breast cancer
AB Phase-type distributions (PHDs), which are defined as the distribution of the lifetime up to the absorption in an absorbent Markov chain, are an appropriate candidate to model the lifetime of any system, since any non-negative probability distribution can be approximated by a PHD with sufficient precision. Despite PHD potential, friendly statistical programs do not have a module implemented in their interfaces to handle PHD. Thus, researchers must consider others statistical software such as R, Matlab or Python that work with the compilation of code chunks and functions. This fact might be an important handicap for those researchers who do not have sufficient knowledge in programming environments. In this paper, a new interactive web application developed with shiny is introduced in order to adjust PHD to an experimental dataset. This open access app does not require any kind of knowledge about programming or major mathematical concepts. Users can easily compare the graphic fit of several PHDs while estimating their parameters and assess the goodness of fit with just several clicks. All these functionalities are exhibited by means of a numerical simulation and modeling the time to live since the diagnostic in primary breast cancer patients.
PB AMER INST MATHEMATICAL SCIENCES-AIMS
SN 1551-0018
YR 2024
FD 2024
LK http://hdl.handle.net/10498/32646
UL http://hdl.handle.net/10498/32646
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026