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February 14, 2026Journal of Applied ProbabilityOpen Access

Bivariate shock models driven by the geometric counting process

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Authors

MCMarco CapaldoUniversity of SalernoSSSerena SpinaUniversity of Salerno

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Implication

Analyzes failure mechanisms in systems using bivariate geometric counting for predictive insights.

Key Points

  • The research aims to explore failure dynamics governed by bivariate geometric counting processes and their implications.
  • Modeling failure mechanisms using bivariate geometric counting processes.
  • Employing a competing risks framework to analyze mutually exclusive causes of failure.
  • Studying failure densities and survival functions based on random thresholds.
  • Identified relevant functions related to failure mechanisms, including densities and survival functions.
  • Derived expressions for the failure time conditioned on specific causes of failure.

Cite This Study

Capaldo et al. (2026) studied this question.

synapsesocial.com/papers/699011932ccff479cfe5859chttps://doi.org/10.1017/jpr.2025.10061
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Also Consider

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  1. 1Bivariate tempered space-fractional Poisson process and shock models2024 · 8 citations
  2. 2On New Classes of Extreme Shock Models and Some Generalizations2011 · 162 citations