IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v11y1991i3p267-271.html
   My bibliography  Save this article

On nonparametric maximum likelihood estimation of a distribution uniformly stochastically smaller than a standard

Author

Listed:
  • Rojo, Javier
  • Samaniego, Francisco J.

Abstract

The class of distributions F which are uniformly stochastically smaller than a known standard G arises naturally when life testing experiments are conducted in an environment more severe or stressful than the environment in which the system has been pretested. The problem of estimating a distribution in this class via nonparametric maximum likelihood is considered. Under the assumption that the standard lifetime distribution G is continuous and strictly increasing, the NPMLE of F is derived in closed form, and its inconsistency is demonstrated.

Suggested Citation

  • Rojo, Javier & Samaniego, Francisco J., 1991. "On nonparametric maximum likelihood estimation of a distribution uniformly stochastically smaller than a standard," Statistics & Probability Letters, Elsevier, vol. 11(3), pages 267-271, March.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:3:p:267-271
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(91)90154-J
    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.

    Citations

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


    Cited by:

    1. El Barmi, Hammou & Mukerjee, Hari, 2016. "Consistent estimation of survival functions under uniform stochastic ordering; the k-sample case," Journal of Multivariate Analysis, Elsevier, vol. 144(C), pages 99-109.
    2. Ori Davidov & George Iliopoulos, 2012. "Estimating a distribution function subject to a stochastic order restriction: a comparative study," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 24(4), pages 923-933, December.
    3. Bhaskar Bhattacharya, 1997. "On Tests of Symmetry Against One-Sided Alternatives," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(2), pages 237-254, June.
    4. Arnold, Sebastian & El Barmi, Hammou & Mukerjee, Hari & Ziegel, Johanna, 2024. "Estimating several survival functions under uniform stochastic ordering," Statistics & Probability Letters, Elsevier, vol. 208(C).

    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:11:y:1991:i:3:p:267-271. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.