What is the approximate density function of the product


A random variable X is said to have a log normal distribution if its logarithm, logX, is normally distributed. Suppose that the random variables X1,.....,X50 are independent and all have the probability density function fX(x) = 1/x for 1<=x<=e What is the approximate density function of the product X1.X2...X50?

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Basic Statistics: What is the approximate density function of the product
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