IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i8p856-d535913.html
   My bibliography  Save this article

Comparisons of Parallel Systems with Components Having Proportional Reversed Hazard Rates and Starting Devices

Author

Listed:
  • Narayanaswamy Balakrishnan

    (Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4L8, Canada)

  • Ghobad Barmalzan

    (Department of Statistics, University of Zabol, Zabol 98615-538, Sistan and Baluchestan, Iran)

  • Sajad Kosari

    (Department of Mathematics, University of Zabol, Zabol 98615-538, Sistan and Baluchestan, Iran)

Abstract

In this paper, we consider stochastic comparisons of parallel systems with proportional reversed hazard rate (PRHR) distributed components equipped with starting devices. By considering parallel systems with two components that PRHR and starting devices, we prove the hazard rate and reversed hazard rate orders. These results are then generalized for such parallel systems with n components in terms of usual stochastic order. The establish results are illustrated with some examples.

Suggested Citation

  • Narayanaswamy Balakrishnan & Ghobad Barmalzan & Sajad Kosari, 2021. "Comparisons of Parallel Systems with Components Having Proportional Reversed Hazard Rates and Starting Devices," Mathematics, MDPI, vol. 9(8), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:856-:d:535913
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/8/856/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/8/856/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chen Li & Xiaohu Li, 2019. "Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(3), pages 694-708, February.
    2. 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.
    3. Zhang, Yiying & Cai, Xiong & Zhao, Peng, 2019. "Ordering Properties Of Extreme Claim Amounts From Heterogeneous Portfolios," ASTIN Bulletin, Cambridge University Press, vol. 49(2), pages 525-554, May.
    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. Barmalzan, Ghobad & Akrami, Abbas & Balakrishnan, Narayanaswamy, 2020. "Stochastic comparisons of the smallest and largest claim amounts with location-scale claim severities," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 341-352.
    2. Sangita Das & Suchandan Kayal, 2021. "Ordering results between the largest claims arising from two general heterogeneous portfolios," Papers 2104.08605, arXiv.org.
    3. Bobotas, Panayiotis & Koutras, Markos V., 2024. "On the preservation of ageing properties under random maxima," Statistics & Probability Letters, Elsevier, vol. 210(C).
    4. Bobotas, Panayiotis & Koutras, Markos V., 2019. "Distributions of the minimum and the maximum of a random number of random variables," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 57-64.
    5. Nil Kamal Hazra & Asok K. Nanda & Moshe Shaked, 2014. "Some aging properties of parallel and series systems with a random number of components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 238-243, April.

    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:gam:jmathe:v:9:y:2021:i:8:p:856-:d:535913. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.