A poisson process with an arbitrary rate

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Consider the stochastic process {Y(t),t ≥ 0} defined in Question no. 9, where {N(t),t ≥ 0} is now a Poisson process with an arbitrary rate A (> 0). It can be shown that we then have that P[Y(t) = 1] = (l + e^-2λt)/2, for t ≥ 0. Calculate

Reference no: EM131130832

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A poisson process with an arbitrary rate : Consider the stochastic process {Y(t),t ≥ 0} defined in Question no. 9, where {N(t),t ≥ 0} is now a Poisson process with an arbitrary rate A (> 0). It can be shown that we then have that P[Y(t) = 1] = (l + e-2λt)/2, for t ≥ 0. Calculate

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