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If $Y$ is $\text{Poisson}(λ)$ distributed, how do we obtain this confidence interval for $λ$:

$\:l=\frac14 [(\sqrt{Y}+\sqrt{Y+1}-z_{α/2} )^2-1]$

$u=\frac14 [(\sqrt{Y}+\sqrt{Y+1}+z_{α/2} )^2-1]$

whuber
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Raziye
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