Hi Mauro,

This list is not meant to help with homework problems or contrived
exercises.  Please see your instructor or find a more appropriate
forum.

Cheers,

Josh

On Mon, Aug 22, 2011 at 6:49 PM, Mauro Sznelwar <sznel...@uol.com.br> wrote:
> 1) The Pareto P(alfa) distribution is defined by its density f(x|alfa) 
> =alfa*X^(-alfa-1) over (1 to infinity). Show that it can be generated as the 
> -1/alfa power of a uniforme variate. Plot the histogram and the density.
> 2) The Poisson distribution P(lambda) is connected to the exponential 
> distribution through the Poisson process in that it can be simulated by 
> generating exponential random variables until their sums exceeds 1. That is, 
> if Xi~Exp(lambda) and if K is the first value for which summation(i=1 to 
> k+1)Xi>1 então K~P(lambda). Compare this algorithm with rpois.
> 3) Se U e V are i.i.d U[0,1], the distribuiton of 
> (U^1/alfa)/((U^1/alfa)+V(1/beta)), conditional on U^1/alfa+V^1/beta<=1, is 
> the beta(alfa, beta) distribution. Compare this algorithm for both small and 
> large values of alfa and beta.
>        [[alternative HTML version deleted]]
>
>
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>



-- 
Joshua Wiley
Ph.D. Student, Health Psychology
Programmer Analyst II, ATS Statistical Consulting Group
University of California, Los Angeles
https://joshuawiley.com/

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