Competing Risks Modelling via Multistate System Methodology under a Generalized Family of Distributions

Theodora Dimitrakopoulou (), Alex Karagrigoriou (), Andreas Makrides () and Ilia Vonta ()
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Theodora Dimitrakopoulou: University of the Aegean
Alex Karagrigoriou: University of Piraeus
Andreas Makrides: University of the Aegean
Ilia Vonta: National Technical University of Athens

Methodology and Computing in Applied Probability, 2025, vol. 27, issue 2, 1-19

Abstract: Abstract This paper develops a competing risks model within the framework of Multi-State Systems (MSS) methodology, focusing on statistical inference when sojourn times (waiting times) are from a general closed-under-minima family of distributions. The proposed family includes a broad class of time-to-event distributions and thus is highly applicable to reliability theory, survival analysis and other fields of study. We set up a consistent statistical framework for inference and evaluate its performance through large-scale simulation studies. The findings validate the flexibility and accuracy of the proposed method, signifying its potential in modeling advanced failure mechanisms. The contribution of this study lies in presenting a new, holistic approach to competing risks analysis with its wide applications in various disciplines.

Keywords: Competing risks model; Hazard rate; Multi-state systems; Markov renewal process; Semi-Markov process; Maximum likelihood estimation; Survival function (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11009-025-10169-3

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