A central limit theorem for sums of functions of residuals in a high-dimensional regression model with an application to variance homoscedasticity test

Author:

Bai Zhidong,Pan Guangming,Yin Yanqing

Funder

Ministry of Education - Singapore

Ministry of Education - Singapore (SG)

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference19 articles.

1. Amari SV, Misra RB (1997) Closed-form expressions for distribution of sum of exponential random variables. IEEE Trans Reliab 46(4):519–522

2. Azzalini A, Bowman A (1993) On the use of nonparametric regression for checking linear relationships. J R Stat Soc Ser B Methodol 55(2):549–557

3. Bai Z, Silverstein JW (2010) Spectral analysis of large dimensional random matrices. Springer, Berlin

4. Breusch TS, Pagan AR (1979) A simple test for heteroscedasticity and random coefficient variation. Econom J Econom Soc 47(5):1287–1294

5. Cook RD, Weisberg S (1983) Diagnostics for heteroscedasticity in regression. Biometrika 70(1):1–10

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