21.6 Let Y be a Poisson random variable with parameter A > 0. Show that YA -A lim where L(Z) = N (0, 1) and convergence is in distribution. (Hint: Use Exer- cise 21.5 and compare YA with Sa and Sa+1, where [A] denotes the largest integer less than or equal to A.)

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21.6 Let Y be a Poisson random variable with parameter A > 0. Show that
YA - A
lim
where L(Z) = N (0, 1) and convergence is in distribution. (Hint: Use Exer-
cise 21.5 and compare YA with Sa and Sa+1, where [A] denotes the largest
integer less than or equal to A.)
Transcribed Image Text:21.6 Let Y be a Poisson random variable with parameter A > 0. Show that YA - A lim where L(Z) = N (0, 1) and convergence is in distribution. (Hint: Use Exer- cise 21.5 and compare YA with Sa and Sa+1, where [A] denotes the largest integer less than or equal to A.)
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