Abstract

This paper presents a simple derivation of eigenvalues, and left and right eigenvectors of a square nonsymmetric matrix that appears in sampling theory, and its properly normalized right eigenvectors give the inclusion probabilities. The proof is based on a special Vandermonde matrix.

Keywords

Integer spectra; Vandermonde matrix; inverse Vandermonde matrix

Published in

Contemporary Mathematics
2010, Volume: 516, number: 516, pages: 319-324
Title: Algebraic methods in statistics and probability II : AMS Special Session Algebraic Methods in Statistics and Probability, March 27-29, 2009, University of Illinois at Urbana-Champaign, Champaign, IL
ISBN: 978-0-8218-4891-3
Publisher: American Mathematical Society

Conference

AMS Special Session on Algebraic Methods in Statistics and Probability

SLU Authors

• von Rosen, Dietrich

  • Department of Energy and Technology, Swedish University of Agricultural Sciences
    

UKÄ Subject classification

Probability Theory and Statistics


Permanent link to this page (URI)

https://res.slu.se/id/publ/32943