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Thread: Distribution confusion

  1. #1
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    Distribution confusion

    Hello

    I know that an exponential distribution has the form $\displaystyle f(x) = \lambda e^{-\lambda x}, \: x \geq 0$ but does $\displaystyle f(x) = C_1 e^{-\lambda x} + C_2 e^{-\mu x}, \: x \geq 0$ count as an exponential distribution?
    I have tried Google but can only seem to find that a sum of exponential distributions with the same parameter is Erlang distributed, but nothing regarding the above.

    Thanks
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  2. #2
    MHF Contributor
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    Re: Distribution confusion

    Math Stack Exchange has a good solution:

    https://math.stackexchange.com/quest...ifferent-means
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