Table 4: DFA of the series with correlated trend A[X(i)]p, that is, Y(i)  =X(i)+  A[X(i)]pp<1. We pick four values of p as below.

DFA1DFA2DFA3DFA4DFA5

p=  -3α0(n)0.67130.62610.61210.63170.6414
s1x(n)8498146234274
α1(n)1.13761.27301.36031.48001.4869
s2x(n)406556704892965
α2(n)0.15240.14290.12420.12670.1299

P=  -1α0(n)0.67100.62600.61200.63150.6412
s1x(n)8498146234274
α1(n)1.13641.27131.35841.47781.4847
s2x(n)406556704892965
α2(n)0.15300.14340.12450.12700.1301

P=-0.5α0(n)0.67110.62600.61200.63150.6412
s1x(n)8498146234274
α1(n)1.13711.27221.35941.47911.4860
s2x(n)406556704892965
α2(n)0.15270.14320.12440.12690.1300

p=0.5α0(n)0.67460.62760.61310.63300.6429
s1x(n) 8498146234274
α1(n)1.15221.29371.38351.50681.5143
s2x(n)406556704892965
α2(n)0.14600.13790.12100.12440.1284