IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v33y1986i3p531-543.html
   My bibliography  Save this article

On estimating population characteristics from record‐breaking observations. i. parametric results

Author

Listed:
  • Francisco J. Samaniego
  • Lyn R. Whitaker

Abstract

Consider an experiment in which only record‐breaking values (e.g., values smaller than all previous ones) are observed. The data available may be represented as X1,K1,X2,K2, …, where X1,X2, … are successive minima and K1,K2, … are the numbers of trials needed to obtain new records. We treat the problem of estimating the mean of an underlying exponential distribution, and we consider both fixed sample size problems and inverse sampling schemes. Under inverse sampling, we demonstrate certain global optimality properties of an estimator based on the “total time on test” statistic. Under random sampling, it is shown than an analogous estimator is consistent, but can be improved for any fixed sample size.

Suggested Citation

  • Francisco J. Samaniego & Lyn R. Whitaker, 1986. "On estimating population characteristics from record‐breaking observations. i. parametric results," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(3), pages 531-543, August.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:3:p:531-543
    DOI: 10.1002/nav.3800330317
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800330317
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800330317?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
    ---><---

    Citations

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


    Cited by:

    1. Francisco J. Samaniego & Lyn R. Whitaker, 1988. "On estimating population characteristics from record‐breaking observations II. Nonparametric results," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 221-236, April.
    2. Ram C. Tiwari & Jyoti N. Zalkikar, 1991. "Bayesian inference of survival curve from record‐breaking observations: Estimation and asymptotic results," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 599-609, August.
    3. Narayanaswamy Balakrishnan & Alexei Stepanov, 2013. "Runs Based on Records: Their Distributional Properties and an Application to Testing for Dispersive Ordering," Methodology and Computing in Applied Probability, Springer, vol. 15(3), pages 583-594, September.

    More about this item

    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:wly:navlog:v:33:y:1986:i:3:p:531-543. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    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.