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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月5日

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  • Theodora Dimitrakopoulou,
  • Alex Karagrigoriou,
  • Andreas Makrides,
  • Ilia Vonta

摘要

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.