# #StackBounty: #confidence-interval #poisson-distribution #bernoulli-process confidence intervals for the Poisson process (lambda) samp…

### Bounty: 50

Say, I have a Poisson process which was measured $$N$$ times, and each measurement produced $$k_i$$ value.
Also, $$k_i$$ are events that I have to detect and my detection probability is $$p$$. In fact, I detect $$widetilde{k}_i$$ which correlates with $$k_i$$ via $$p$$.

Knowing, the number of the detected events $$widetilde{k}_i$$, the constant probability $$p$$, and the constant measurement time $$T$$, how I find the confidence interval for estimation of Poisson’s $$lambda$$?

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