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Homoscedasticity tests for both low and high-dimensional fixed design regressions

Homoscedasticity tests for both low and high-dimensional fixed design regressions

This paper is to prove the asymptotic normality of a statistic for detecting the existence of heteroscedasticity for linear regression models without assuming randomness of covariates when the sample size $n$ tends to infinity and the number of covariates $p$ is either fixed or tends to infinity. Moreover our approach …