Closed shlff closed 4 years ago
Hi @jstac , this PR adds a missing summation notation, \sum_{k \geq 0}, in the RHS of the second equality of the following math expression in subsection markov-property-1 of lecture markov_prop:
\sum_{k \geq 0}
markov_prop
\PP\{X_{s + t} = y \,|\, \fF_s \} = \sum_{k \geq 0} K^k(Y_{N_s}, y) \frac{(t \lambda )^k}{k!} e^{-t \lambda} = K^k(X_s, y) \frac{(t \lambda )^k}{k!} e^{-t \lambda}
Great catch @shlff. Very nice work.
jstac
commented
4 years ago
Hi @jstac , this PR adds a missing summation notation,
\sum_{k \geq 0}, in the RHS of the second equality of the following math expression in subsection markov-property-1 of lecturemarkov_prop:\PP\{X_{s + t} = y \,|\, \fF_s \} = \sum_{k \geq 0} K^k(Y_{N_s}, y) \frac{(t \lambda )^k}{k!} e^{-t \lambda} = K^k(X_s, y) \frac{(t \lambda )^k}{k!} e^{-t \lambda}