Continuity and Analysis of Sequences of Principal Components

DOI10.1080/03610920903308455zbMath1202.62082OpenAlexW2009401940MaRDI QIDQ3064092

Noriah M. Al-Kandari, Fatemah Alqallaf, Ahmad Reza Soltani

Publication date: 20 December 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920903308455

zbMATH Keywords

continuitysample eigenvaluessample eigenvectorsprincipal components with probability one and in probability

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Cites Work

• Unnamed Item
• On continuity of the Pearson statistic and sample quantiles
• Perturbation theory for linear operators.
• Principal component analysis.
• Joint mean-covariance models with applications to longitudinal data: unconstrained parameterisation
• Asymptotic Theory for Principal Component Analysis
• On the Sampling Theory of Roots of Determinantal Equations