1. Let X have the conditional Weibull pdf and let the pdf (weighting function) g(θ) be gamma with parameters α and β. Show that the compound (marginal) pdf of X is that of Burr. 2. If X has a Pareto...


1. Let X have the conditional Weibull pdf


and let the pdf (weighting function) g(θ) be gamma with parameters α and β. Show that the compound (marginal) pdf of X is that of Burr.


2. If X has a Pareto distribution with parameters α and β and if c is a positive constant, show that Y = cX has a Pareto distribution with parameters α and β/c.



Dec 02, 2021
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