IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v65y2024i8d10.1007_s00362-024-01572-y.html
   My bibliography  Save this article

Exact distribution of change-point MLE for a Multivariate normal sequence

Author

Listed:
  • Mohammad Esmail Dehghan Monfared

    (Persian Gulf University)

Abstract

This paper presents the derivation of an expression for computing the exact distribution of the change-point maximum likelihood estimate (MLE) in the context of a mean shift within a sequence of time-ordered independent multivariate normal random vectors. The study assumes knowledge of nuisance parameters, including the covariance matrix and the magnitude of the mean change. The derived distribution is then utilized as an approximation for the change-point estimate distribution when the magnitude of the mean change is unknown. Its efficiency is evaluated through simulation studies, revealing that the exact distribution outperforms the asymptotic distribution. Notably, even in the absence of a change, the exact distribution maintains its efficiency, a feature not shared by the asymptotic distribution. To demonstrate the practical application of the developed methodology, the monthly averages of water discharges from the Nacetinsky creek in Germany are analyzed, and a comparison with the analysis conducted using the asymptotic distribution is presented.

Suggested Citation

  • Mohammad Esmail Dehghan Monfared, 2024. "Exact distribution of change-point MLE for a Multivariate normal sequence," Statistical Papers, Springer, vol. 65(8), pages 4955-4970, October.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:8:d:10.1007_s00362-024-01572-y
    DOI: 10.1007/s00362-024-01572-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00362-024-01572-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00362-024-01572-y?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
    ---><---

    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. Fotopoulos, Stergios & Jandhyala, Venkata, 2001. "Maximum likelihood estimation of a change-point for exponentially distributed random variables," Statistics & Probability Letters, Elsevier, vol. 51(4), pages 423-429, February.
    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. Fotopoulos, Stergios B., 2009. "The geometric convergence rate of the classical change-point estimate," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 131-137, January.
    2. Venkata Jandhyala & Stergios Fotopoulos & Ian MacNeill & Pengyu Liu, 2013. "Inference for single and multiple change-points in time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(4), pages 423-446, July.
    3. Daniela Jarušková, 2018. "Estimating non-simultaneous changes in the mean of vectors," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(6), pages 721-743, August.
    4. Fotopoulos, S.B. & Jandhyala, V.K., 2007. "On Hinkley's estimator: Inference about the change point," Statistics & Probability Letters, Elsevier, vol. 77(13), pages 1449-1458, July.

    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:spr:stpapr:v:65:y:2024:i:8:d:10.1007_s00362-024-01572-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.