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A revisit to two-component series and parallel systems with general standby redundancies

Author

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  • Rui Fang
  • Xiaohu Li

Abstract

This note is devoted to a further study on series and parallel systems with general standby redundancies. We build a lower bound on the ratio of distribution functions for two parallel systems with a single redundancy, and, for the series system with two redundancies, we develop the usual stochastic order on their lifetimes under different allocating policies. The present results serve as either an improvement or a supplement to those ones in the literature. Some numerical examples are utilized to illustrate the new results as well.

Suggested Citation

  • Rui Fang & Xiaohu Li, 2026. "A revisit to two-component series and parallel systems with general standby redundancies," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 55(3), pages 1007-1021, February.
    • Handle: RePEc:taf:lstaxx:v:55:y:2026:i:3:p:1007-1021
    DOI: 10.1080/03610926.2025.2513391
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