IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v231y2026ics0167715225002664.html

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715225002664
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2025.110621?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    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.
    2. Joag-dev, Kumar & Kochar, Subhash & Proschan, Frank, 1995. "A general composition theorem and its applications to certain partial orderings of distributions," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 111-119, February.
    3. Lisa Parveen & Ruhul Ali Khan & Murari Mitra, 2024. "A two sample nonparametric test for variability via empirical likelihood methods," Statistical Papers, Springer, vol. 65(7), pages 4243-4265, September.
    4. Xiaohu Li & Maochao Xu, 2008. "Reversed hazard rate order of equilibrium distributions and a related aging notion," Statistical Papers, Springer, vol. 49(4), pages 749-767, October.
    5. Subhash C. Kochar, 2022. "Stochastic Comparisons with Applications," Springer Books, Springer, number 978-3-031-12104-3, October.
    6. I. Ahmad & S. Kochar, 1990. "Testing whetherF is more IFR thanG," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 37(1), pages 45-58, December.
    7. Patryk Miziuła & Jorge Navarro, 2017. "Sharp bounds for the reliability of systems and mixtures with ordered components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(2), pages 108-116, March.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Navarro, Jorge & Arriaza, Antonio & Suárez-Llorens, Alfonso, 2019. "Minimal repair of failed components in coherent systems," European Journal of Operational Research, Elsevier, vol. 279(3), pages 951-964.
    2. Emad‐Eldin A. A. Aly, 1993. "On testing for decreasing mean residual life ordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(5), pages 633-642, August.
    3. Khaledi, Baha-Eldin & Shaked, Moshe, 2010. "Stochastic comparisons of multivariate mixtures," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2486-2498, November.
    4. Salehi, E.T. & Badía, F.G. & Asadi, M., 2012. "Preservation properties of a homogeneous Poisson process stopped at an independent random time," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 574-585.
    5. Xiaohu Li & Ming J. Zuo, 2004. "Preservation of stochastic orders for random minima and maxima, with applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 332-344, April.
    6. Omid Shojaee & Majid Asadi & Maxim Finkelstein, 2021. "On Some Properties of $$\alpha $$ α -Mixtures," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1213-1240, November.
    7. Bartoszewicz, Jaroslaw, 2000. "Stochastic orders based on the Laplace transform and infinitely divisible distributions," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 121-129, November.
    8. Ji Hwan Cha & Maxim Finkelstein, 2020. "Is perfect repair always perfect?," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 90-104, March.
    9. Sudheesh K. Kattumannil & P. Anisha, 2019. "A simple non-parametric test for decreasing mean time to failure," Statistical Papers, Springer, vol. 60(1), pages 73-87, February.
    10. Fernández-Ponce, J.M. & Pellerey, F. & Rodríguez-Griñolo, M.R., 2011. "A characterization of the multivariate excess wealth ordering," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 410-417.
    11. Alenazi, Abdulaziz & Mehrez, Khaled, 2026. "The Stieltjes transform order and related ratio order," Statistics & Probability Letters, Elsevier, vol. 233(C).
    12. Mohammad Sepehrifar & Shantia Yarahmadian, 2017. "Decreasing renewal dichotomous Markov noise shock model with hypothesis testing applications," Statistical Papers, Springer, vol. 58(4), pages 1115-1124, December.
    13. Jorgen Vitting Andersen & Roy Cerqueti & Jessica Riccioni, 2021. "Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems," Papers 2112.10672, arXiv.org.
    14. Arijit Patra & Chanchal Kundu, 2019. "On generalized orderings and ageing classes for residual life and inactivity time at random time," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 691-704, August.
    15. Bartoszewicz, Jaroslaw, 1998. "Characterizations of the dispersive order of distributions by the Laplace transform," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 23-29, September.
    16. Ruhul Ali Khan & Dhrubasish Bhattacharyya & Murari Mitra, 2021. "Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternatives," Statistical Papers, Springer, vol. 62(6), pages 3015-3045, December.
    17. Antonio Di Crescenzo & Franco Pellerey, 2019. "Some Results and Applications of Geometric Counting Processes," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 203-233, March.
    18. Neeraj Misra & Jisha Francis, 2020. "Relative ageing in frailty and resilience models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(2), pages 171-196, February.
    19. Li, Xiaohu & Shaked, Moshe, 2004. "The observed total time on test and the observed excess wealth," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 247-258, July.
    20. Kayid, M. & Shrahili, M., 2025. "Sufficient conditions for relative aging orders of (n−k+1)-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 221(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:231:y:2026:i:c:s0167715225002664. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.