Determine its generator matrix

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Let {X1 (t), t ≥ 0} and {X2 (t), t ≥ 0} be independent two-state continuous-time Markov Chains on the state's 0 and 1 having the same generator matrix

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Define Y(t) = X1 (t) + X2(t) at any time t.

Argue that {Y(t), t ≥ 0} is a continuous-time Markov Chain on the states {0, 1, 2} and determine its generator matrix.

Reference no: EM131190967

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