I'm testing whether a null hypothesis that a time series is random
walk is true. I use Auto.VR() and Lo.Mac() from R package "vrtest" for
variance ratio test to EURUSD. EURUSD log returns were the input.
Close
2002-01-08 -0.005035595
2002-01-09 0.001905318
2002-01-10 -0.002017508
2002-01-11 0.001009263
2002-01-14 0.002462807
2002-01-15 -0.001118706
Where Auto.VR() gave me
$stat
[1] 54.50223
$sum
[1] 2.843879
Lo.Mac() gave me
$Stats
M1 M2
k=2 -2.083685 -1.733119
How do we evaluate the result from Auto.VR() or Lo.Mac()? In other
words, how can we say that the null hypothesis is rejected from those
results?
David