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On some properties of a partial ordering based on the mean time to failure function

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  • Parveen, Lisa

Abstract

Various properties of the ordering notion, namely decreasing in mean time to failure (DMTTF) order has been explored. Connections between DMTTF order and other well-known partial orderings of life distributions are established. Interrelationships with certain variability orderings are also explored. The applicability of the results has been demonstrated in the context of coherent systems with dependent but identically distributed components.

Suggested Citation

  • Parveen, Lisa, 2026. "On some properties of a partial ordering based on the mean time to failure function," Statistics & Probability Letters, Elsevier, vol. 231(C).
    • Handle: RePEc:eee:stapro:v:231:y:2026:i:c:s0167715225002664
    DOI: 10.1016/j.spl.2025.110621
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    References listed on IDEAS

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    1. Jorge Navarro & Yolanda del Águila & Miguel A. Sordo & Alfonso Suárez‐Llorens, 2013. "Stochastic ordering properties for systems with dependent identically distributed components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 29(3), pages 264-278, May.
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    8. Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
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