On a Class of Singular Nonsymmetric Matrices with Nonnegative Integer Spectra

Sammanfattning

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.

Nyckelord

Integer spectra; Vandermonde matrix; inverse Vandermonde matrix

Publicerad i

Contemporary Mathematics
2010, volym: 516, nummer: 516, sidor: 319-324
Titel: 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
Utgivare: American Mathematical Society

Konferens

AMS Special Session on Algebraic Methods in Statistics and Probability

SLU författare

• von Rosen, Dietrich

  • Institutionen för energi och teknik, Sveriges lantbruksuniversitet
    

UKÄ forskningsämne

Sannolikhetsteori och statistik

Publikationens identifierare

• ISBN: 978-0-8218-4891-3

Permanent länk till denna sida (URI)

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