Cambridge Series in Statistical and Probabilistic Mathematics

Cambridge Series in Statistical and Probabilistic Mathematics

Bai, Zhidong; Yao, Jianfeng (The University of Hong Kong); Zheng, Shurong

Cambridge University Press

03/2015

322

Dura

Inglês

9781107065178

High-dimensional statistical methods are at the heart of the new era of big data analytics. This book, written by leading experts, is highly recommended for anyone who wants to make serious use of these modern statistical tools.
1. Introduction; 2. Limiting spectral distributions; 3. CLT for linear spectral statistics; 4. The generalised variance and multiple correlation coefficient; 5. The T2-statistic; 6. Classification of data; 7. Testing the general linear hypothesis; 8. Testing independence of sets of variates; 9. Testing hypotheses of equality of covariance matrices; 10. Estimation of the population spectral distribution; 11. Large-dimensional spiked population models; 12. Efficient optimisation of a large financial portfolio.
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