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Math Help - Ratio distribution (uniform)

  1. #1
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    Ratio distribution (uniform)

    I saw a ratio
    X_t/Y_tfollows a i.i.d. uniform distribution, where
    Y_t is a normal distribution, X_t 's distribution is not specified.
    I just take a guess that X_t might be normally distributed as well, but I wonder, is it possible that the ratio of two normally distributed variables to be uniformly distributed?

    Thanks a lot
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  2. #2
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    Quote Originally Posted by delhaize View Post
    I saw a ratio
    X_t/Y_tfollows a i.i.d. uniform distribution, where
    Y_t is a normal distribution, X_t 's distribution is not specified.
    I just take a guess that X_t might be normally distributed as well, but I wonder, is it possible that the ratio of two normally distributed variables to be uniformly distributed?

    Thanks a lot
    In general: \frac{N(\mu, \sigma^2)}{N(\mu,{\sigma}^2)} = \text{Cauchy-Dist}

    Unless your talking about standard normal: \frac{N(0,1)}{N(0,1)} = U(0,1)
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