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For each of the following named distributions derive the form of the pdf, calculate the mean and variance: If X exponential ( ) , then
For each of the following named distributions derive the form of the pdf, calculate the mean and variance:
- If X exponential (), then Y = X1/ has the Weibull (,) distribution, where >0 is a constant
- If X exponential (), then Y = (2X/B)1/2 has the Rayleigh distribution,
- If X gamma (a, b), then Y = 1/X has the inverted gamma IG (a, b) distribution
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