  For the mean vector test in high dimension, Ayyala et al.(2017,153:136-155)
proposed new test statistics when the observational vectors are M dependent.
Under certain conditions, the test statistics for one-same and two-sample cases
were shown to be asymptotically normal. While the test statistics and the
asymptotic results are valid, some parts of the proof of asymptotic normality
need to be corrected. In this work, we provide corrections to the proofs of
their main theorems. We also note a few minor discrepancies in calculations in
the publication.
