"s
1d
he
= - oc
F7 26044 D BE Ten tly (1)
Peas ed and r, are successive parameters belonging to
the steps k-2, k-1, k of the process and the values n,
denote uncorrelated (and normally distributed) random
variables of expectation zero and arbitrary, but equal
variance 9,
The second order GMP (1) generates random variables P. of
expectation zero and assymptotically constant variance:
3
2,2 = on (2407) / (178°) (2)
The covariance 9p Prt] is assymptotically time independent
as well and depends only on the number of steps i, the
generated variablesr, and i are seperated from each
Tti
other.
2 1 2 2
Sra T Tr (1*i(1-8 )/(1*8^)) (3)
Two typical theoretical covariance functions are shown in
figure 1 and figure 2.