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Variance Estimation, Change Points in Variance, and Heteroscedasticity

  • Lajos Horváth,
  • Gregory Rice

摘要

A crucial step in approximating the distribution of the CUSUM statistics introduced in Chaps. 1 and 2 is estimating the variance parameter \(\sigma ^2\) describing the limiting variance of the partial sum of the observations under Assumption 1.1.1 .