Gamma and exponential distribution

mcguiry03
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Homework Statement


prove that,
for gamma distribution
μ=αθ
σ^2=αθ^2
for exponential distribution
μ=θ
σ^2=θ^2
 
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mcguiry03 said:

Homework Statement


prove that,
for gamma distribution
μ=αθ
σ^2=αθ^2
for exponential distribution
μ=θ
σ^2=θ^2

What have you done so far? Show your work.

RGV
 
i keep on searching the internet about this type of distribution and i am not an english speaking person that is why i hardly understand what they say... i just wanted to answer this bcos it is a challenge problem for an extra points... the problem is, we skip this topic bcos we can not finish the whole syllabus by the end of our summer classes...
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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