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Thread: Calculate CDF for Poisson Dist

  1. #1
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    Calculate CDF for Poisson Dist

    Hello,
    I want calculate CDF for Poisson distribution.
    Now how can calculate this series?
    Thanks
    Attached Thumbnails Attached Thumbnails Calculate CDF for Poisson Dist-sgseg.jpg  
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  2. #2
    Senior Member zzephod's Avatar
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    Re: Calculate CDF for Poisson Dist

    You have already asked this question in your previous thread. If you want more than what has been posted in the replies there you should post in that thread asking for more help specifying what problems you are still having.

    Or just look it up on Wikipedia
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  3. #3
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    Re: Calculate CDF for Poisson Dist

    Quote Originally Posted by zzephod View Post
    You have already asked this question in your previous thread. If you want more than what has been posted in the replies there you should post in that thread asking for more help specifying what problems you are still having.

    Or just look it up on Wikipedia
    Your are right and please moderator merge these topics.
    But You put algorithm.I want proof this with math.
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  4. #4
    Senior Member zzephod's Avatar
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    Re: Calculate CDF for Poisson Dist

    I also gave a reference. Also you said you wanted to generate Poisson distributed pseudo random numbers and you should not be using the CDF for that as it is not well suited in this case.

    As an aside: the Knuth method uses the well know relationship between the Poisson and the Exponential distributions is an almost trivial manner (the number of arrivals in a fixed time interval where the inter-arrival times have an exponential distribution has a Poisson distribution).
    Last edited by zzephod; Dec 10th 2016 at 12:16 AM.
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  5. #5
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    Re: Calculate CDF for Poisson Dist

    Hey life24.

    Hint - Look at the Taylor series expansion to get an idea of what function it is [after taking e^(-lambda) out].
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