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Let be a modified version of the random telegraph process. The process switches between the two states with the time between switches following exponential distributions, Also, the starting state is determined by flipping a biased coin so that

Pr(X(0)=1) = p and

Pr(X(0)=-1) = 1 - p.

(a) Find Pr(X(t)=1) and Pr(X(t)=-1).

(b) Find the mean function, μX(t).

(c) Find the autocorrelation function RX,X(t1,t2)

(d) Is given process Wss?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91972410

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