1. Let 
have the conditional Weibull pdf
and let the pdf (weighting function) 
be gamma with parameters α and β. Show that the compound (marginal) pdf of X is that of Burr.
Weighting function
1. Let have the conditional Weibull pdf
and let the pdf (weighting function) be gamma with parameters α and β. Show that the compound (marginal) pdf of X is that of Burr.
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