(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The rate of occurrence of events in a non-homogeneous Poisson process is given by: λ(t)=12t e^{-2t}.

(c) Find the p.d.f. of the time until the first event occurs after time t = 1.

(e) After what time is it 95% certain that no further events will occur?

2. Relevant equations

λ(t)=12t e^{-2t}

3. The attempt at a solution

After using integration by parts, I found μ(t) = -3e^{-2t}(2t+1) to solve other parts of this question. I know part (e) requires the use of newton-raphson method but I have no idea how to go about. Any help will really be appreciated, thanks.

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# Newton-Raphson method in non-homogeneous poisson process

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