I'm working on estimation of parameters of stochastic processes and I can't
find the simple solution of one task. Probably you know something about that
and can help me. The task is:
The process s(a,b) is the integral from a-b/2 to a+b/2 of Gaussian white
noise n(t)  (delta-correlated) but with mean  <n(t)> = m(a,b). The values
"a" and "b" are some non-stochastic values which are defined on area L. Also
known that the function m(a,b) has one maximum at point (a0,b0). It's need
to find the distribution of maximum of random field s(a,b) on values a and b
(it
may be asymptotical solution or solution in some particular cases).
If you know something related to this task, please, answer me. Thanks.
Sorry  for my English (I'm from Russia).

With best regards,
Dr. Eugene Pronyaev.
Voronezh State University
mailto ( [EMAIL PROTECTED] )







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