von Rosen, Dietrich
- Department of Energy and Technology, Swedish University of Agricultural Sciences
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
Publisher: American Mathematical Society
Conference
AMS Special Session on Algebraic Methods in Statistics and Probability
SLU Authors
UKÄ Subject classification
Probability Theory and Statistics
Publication identifier
- ISBN: 978-0-8218-4891-3
Permanent link to this page (URI)
https://res.slu.se/id/publ/32943