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What is the difference between Gamma-Type Distributions and Weibull Probability Distributions?

wcr98 asked:


I am trying to understand these two statistical distributions and what separates them. Any help is appreciated.

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May 20th, 2010 | Tags: , , | Category: Engineering

1 comment to What is the difference between Gamma-Type Distributions and Weibull Probability Distributions?

  • Merlyn
    May 22nd, 2010 at 10:24 am

    The gamma distribution is the continuous random variable version of the Negative Binomial distribution.

    If you are trying to model the sum of n independent and identically distributed Exponential random variables then the sum will follow a Gamma distribution. This could be the model for the waiting time for the nth success in a Poisson process.

    The parameters for the gamma in this case are n and λ, where λ is the parameter in the iid Exponentials.

    The Weibull distribution is related to the Exponential as well. If you take the shape parameter to be 1 then you have the exponential distribution with the scale parameter λ. The Weibull is used in extreme value theory for the distribution of the extreme values since the central limit theorem will not apply to that field of study.

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