Let X(t) = sin Φt where Φ is uniformly distributed over the interval [0, 2π]. Verify: (1) The discrete-time stochastic process {X(t); t = 1, 2, ...} is weakly, but not strongly stationary. (2) The...


Let X(t) = sin Φt where Φ is uniformly distributed over the interval [0, 2π]. Verify: (1) The discrete-time stochastic process {X(t); t = 1, 2, ...} is weakly, but not strongly stationary. (2) The continuous-time stochastic process {X(t), t ≥ 0} is neither weakly nor strongly stationary.



May 21, 2022
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