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How to find equations for confidence limits in Poisson distribution?

  1. Mar 28, 2012 #1
    1. The problem statement, all variables and given/known data

    What kind of equations you'll get when trying to find confidence limits 100(1-a) % for λ in Poisson distribution?

    2. Relevant equations

    Poisson distribution P(X=x) = e λx / x! (x=0,1,2 .....)

    3. The attempt at a solution

    I made an equation as follows:

    Ʃ (k = from k0 to n) e λk / k! = a/2

    to solve the confidence limits. Am I doing correct thing here? I cannot solve λ from that equation + I'm not supposed to have infinite sums in my equations... Any help for me?
     
    Last edited: Mar 29, 2012
  2. jcsd
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