IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i11p1733-1737.html
   My bibliography  Save this article

The exact null distribution of the generalized Hollander-Proschan type test for NBUE alternatives

Author

Listed:
  • Anis, M.Z.
  • Basu, Kinjal

Abstract

In this note we derive the exact null distribution for the test statistic proposed by Anis and Mitra (2011) for testing exponentiality against NBUE alternatives. As a special case, we obtain the exact null distribution for the test statistic K* proposed by Hollander and Proschan (1975). Selected critical values for different sizes are tabulated for these two statistics. Some remarks concerning the benefits of using the exact distribution are made.

Suggested Citation

  • Anis, M.Z. & Basu, Kinjal, 2011. "The exact null distribution of the generalized Hollander-Proschan type test for NBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1733-1737, November.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:11:p:1733-1737
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715211002069
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fernandez-Ponce, J. M. & Infante-Macias, R. & Munoz-Perez, J., 1996. "Characterization of lifetime distributions based on a quantile dispersion measure," Computational Statistics & Data Analysis, Elsevier, vol. 21(5), pages 547-561, May.
    2. Belzunce, F. & Pinar, J. F. & Ruiz, J. M., 2001. "A family of tests for right spread order," Statistics & Probability Letters, Elsevier, vol. 54(1), pages 79-92, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ghosh, Shyamal & Mitra, Murari, 2017. "A Hollander–Proschan type test when ageing is not monotone," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 119-127.
    2. 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.
    3. Ghosh, Shyamal & Mitra, Murari, 2017. "A weighted integral approach to testing against HNBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 58-64.
    4. Priyanka Majumder & Murari Mitra, 2021. "Detecting trend change in hazard functions—an L-statistic approach," Statistical Papers, Springer, vol. 62(1), pages 31-52, February.

    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. Anis, M.Z. & Mitra, M., 2011. "A generalized Hollander-Proschan type test for NBUE alternatives," Statistics & Probability Letters, Elsevier, vol. 81(1), pages 126-132, January.
    2. Michel Denuit & Anne-Cécile Goderniaux & Olivier Scaillet, 2005. "A Kolmogorov-Smirnov type test for shortfall dominance against parametric alternatives," FAME Research Paper Series rp143, International Center for Financial Asset Management and Engineering.
    3. Bhattacharyya, Dhrubasish & Khan, Ruhul Ali & Mitra, Murari, 2020. "A test of exponentiality against DMTTF alternatives via L-statistics," Statistics & Probability Letters, Elsevier, vol. 165(C).
    4. Fernández-Ponce, J.M. & Pellerey, F. & Rodríguez-Griñolo, M.R., 2011. "On a new NBUE property in multivariate sense: An application," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3283-3294, December.
    5. Anis Mohammed Z., 2010. "On Testing Exponentiality Against DMRL Alternatives," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 281-299, January.

    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:81:y:2011:i:11:p:1733-1737. 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.