On the validity of the perturbation method in asymptotic theory

DOI10.1080/02331888708802037zbMath0647.62055OpenAlexW1966587734MaRDI QIDQ3792080

Jeanne Fine

Publication date: 1987

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888708802037

zbMATH Keywords

Edgeworth expansionsTaylor expansionsprincipal componentcanonical analysestest statistics approximations

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Asymptotic distribution theory in statistics (62E20) Perturbation theory of linear operators (47A55)

Related Items (5)

Asymptotic study of eigenelements of a sequence of random selfadjoint operators ⋮ Empirical dynamics for longitudinal data ⋮ Asympotic study of the multivariate functional model. application to the metric choice in principal component analysis ⋮ Application of the empirical characteristic function to compare and estimate densities by pooling information ⋮ Perturbation of functional tensors with applications to covariance operators.

Cites Work

• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• On the validity of the formal Edgeworth expansion
• Reduced principal component analysis
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