IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v36y1997i3p231-243.html
   My bibliography  Save this article

Some results on normalized total time on test and spacings

Author

Listed:
  • Ebrahimi, Nader
  • Spizzichino, Fabio

Abstract

Let Y1, Y2,..., Yn be non-negative random variables and let Y1 [less-than-or-equals, slant] Y(2) [less-than-or-equals, slant] ... [less-than-or-equals, slant] Y(n) denote order statistics. In this manuscript, we study several properties of Di = (n - i + 1)(Y(i) - Y(i-1)), I = 1,2,..., n, where Y(0) [not identical with] 0. In particular we characterize the relevant case of lifetimes with Schur-constant density in terms of the joint density function of D1,..., Dn. We also analyze properties of Schur-concave (convex) densities and of the functions g(i) = E{Di} and .

Suggested Citation

  • Ebrahimi, Nader & Spizzichino, Fabio, 1997. "Some results on normalized total time on test and spacings," Statistics & Probability Letters, Elsevier, vol. 36(3), pages 231-243, December.
  • Handle: RePEc:eee:stapro:v:36:y:1997:i:3:p:231-243
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00068-0
    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. Cooke, Roger M., 1993. "The total time on test statistic and age-dependent censoring," Statistics & Probability Letters, Elsevier, vol. 18(4), pages 307-312, November.
    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. Nappo, G. & Spizzichino, F., 1998. "Ordering properties of the TTT-plot of lifetimes with Schur joint densities," Statistics & Probability Letters, Elsevier, vol. 39(3), pages 195-203, August.
    2. Chu, Yu-Ming & Xia, Wei-Feng & Zhang, Xiao-Hui, 2012. "The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 412-421.

    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. T Bedford & B M Alkali, 2009. "Competing risks and opportunistic informative maintenance," Journal of Risk and Reliability, , vol. 223(4), pages 363-372, December.
    2. Durante Fabrizio & Puccetti Giovanni & Scherer Matthias & Vanduffel Steven, 2017. "The Vine Philosopher: An interview with Roger Cooke," Dependence Modeling, De Gruyter, vol. 5(1), pages 256-267, December.
    3. Nappo, G. & Spizzichino, F., 1998. "Ordering properties of the TTT-plot of lifetimes with Schur joint densities," Statistics & Probability Letters, Elsevier, vol. 39(3), pages 195-203, August.
    4. Beate Sildnes & Bo Henry Lindqvist, 2018. "Modeling of semi-competing risks by means of first passage times of a stochastic process," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 24(1), pages 153-175, 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:36:y:1997:i:3:p:231-243. 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.