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

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Listed:
  • Theodora Dimitrakopoulou

    (University of the Aegean)

  • Alex Karagrigoriou

    (University of Piraeus)

  • Andreas Makrides

    (University of the Aegean)

  • Ilia Vonta

    (National Technical University of Athens)

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.

Suggested Citation

  • Theodora Dimitrakopoulou & Alex Karagrigoriou & Andreas Makrides & Ilia Vonta, 2025. "Competing Risks Modelling via Multistate System Methodology under a Generalized Family of Distributions," Methodology and Computing in Applied Probability, Springer, vol. 27(2), pages 1-19, June.
    • Handle: RePEc:spr:metcap:v:27:y:2025:i:2:d:10.1007_s11009-025-10169-3
    DOI: 10.1007/s11009-025-10169-3
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    References listed on IDEAS

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    1. Brenda Garcia-Maya & Nikolaos Limnios & Bo Henry Lindqvist, 2022. "Competing Risks Modeling by Extended Phase-Type Semi-Markov Distributions," Methodology and Computing in Applied Probability, Springer, vol. 24(1), pages 309-319, March.
    2. Somayeh Ashrafi, 2023. "Reliability modeling of three-state systems with multiple types of components," Journal of Risk and Reliability, , vol. 237(1), pages 210-227, February.
    3. Bo Henry Lindqvist, 2023. "Phase-type models for competing risks, with emphasis on identifiability issues," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(2), pages 318-341, April.
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