I'm having trouble doing a classic proof (integration par part and induction on r) for this :(adsbygoogle = window.adsbygoogle || []).push({});

Pr(X>t)=Pr(Y ≤r−1), where X follows a gamma Γ(α = r, β = 1/λ) and Y a Poisson P (λt).

Start with r = 1 (exponential distribution).

I dont really understand what induction on r really means.

I tried just showing the basic density equation for both (Gamma and Poisson) but i dont know how to make them simplify into the same thing.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Relation between Gamma and Poisson

**Physics Forums | Science Articles, Homework Help, Discussion**