Bootstrapping the latent roots of certain random matrices
作者:
Demissie Alemayehu,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1988)
卷期:
Volume 17,
issue 3
页码: 857-869
ISSN:0361-0918
年代: 1988
DOI:10.1080/03610918808812700
出版商: Marcel Dekker, Inc.
关键词: bootstrap;eigenvalues;confidence sets;nonpara-metric inference;simultaneous inference
数据来源: Taylor
摘要:
Eigenvalues and functions of eigenvalues play an important role in the reduction of the dimensionality of data in multivariate analysis. However, even under the usual normal model context, the associated distributional theory is extremely complicated. In this paper, bootstrap algorithms for ap-proximating the distributions of functions of certain eigenvalues are given, with applications to confidence interval construction for population param-eters. Extensive Monte Carlo simulation results demonstrate the small sample performance of the bootstrap simultaneous confidence sets
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