Skip to main content
SpringerLink
Log in

Efficiency comparisons between two estimators based on matrix determinant Kantorovich-type inequalities

  • Published:
Metrika Aims and scope Submit manuscript

Abstract.

We first establish two matrix determinant Kantorovich-type inequalities. Then, based on these two and other inequalities, we introduce new efficiency criteria and present their upper bounds to make efficiency comparisons between the ordinary least squares estimator and the best linear unbiased estimator in the general linear model. We provide numerical examples to examine the upper bounds of some new and old efficiency criteria.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia (email: Shuangzhe.Liu@maths.anu.edu.au), , , , , , AU

    Shuangzhe Liu

Authors
  1. Shuangzhe Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: June 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, S. Efficiency comparisons between two estimators based on matrix determinant Kantorovich-type inequalities. Metrika 51, 145–155 (2000). https://doi.org/10.1007/s001840000050

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001840000050

Search

Navigation