Question: 6) The Ornstein-uhlenbeck process is a Gaussian process whose mean function is 0 and whose covariance function is given by c(s,t)=est. Show that this covariance

 6) The Ornstein-uhlenbeck process is a Gaussian process whose mean function

6) The Ornstein-uhlenbeck process is a Gaussian process whose mean function is 0 and whose covariance function is given by c(s,t)=est. Show that this covariance function is positive semi-definite. Hint: Looking up the characteristic function of the Cauchy distribution might prove useful

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Finance Questions!