Statistics, MLE and moments in Pareto distribution
0
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I have an issue with my classwork problem. I keep getting stuck on the part where I have to find the expectation because of the $(lambda+x)$ and this is why I can't find neither the moments estimator nor the MLE. Any help is much appreciated. Cheers in advance.
statistics
edited Jan 8 at 16:31
Namaste
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
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add a comment |
0
$begingroup$
I have an issue with my classwork problem. I keep getting stuck on the part where I have to find the expectation because of the $(lambda+x)$ and this is why I can't find neither the moments estimator nor the MLE. Any help is much appreciated. Cheers in advance.
statistics
edited Jan 8 at 16:31
Namaste
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
$endgroup$
$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
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– ciaran
Apr 13 '17 at 14:47
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That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48
add a comment |
0
0
0
$begingroup$
I have an issue with my classwork problem. I keep getting stuck on the part where I have to find the expectation because of the $(lambda+x)$ and this is why I can't find neither the moments estimator nor the MLE. Any help is much appreciated. Cheers in advance.
statistics
edited Jan 8 at 16:31
Namaste
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
$endgroup$
I have an issue with my classwork problem. I keep getting stuck on the part where I have to find the expectation because of the $(lambda+x)$ and this is why I can't find neither the moments estimator nor the MLE. Any help is much appreciated. Cheers in advance.
statistics
statistics
edited Jan 8 at 16:31
Namaste
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
edited Jan 8 at 16:31
Namaste
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
edited Jan 8 at 16:31
Namaste
1
edited Jan 8 at 16:31
Namaste
1
edited Jan 8 at 16:31
Namaste
1
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
asked Apr 13 '17 at 14:44
ciaranciaran
1
1
$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
$endgroup$
– ciaran
Apr 13 '17 at 14:47
$begingroup$
That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48
add a comment |
$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
$endgroup$
– ciaran
Apr 13 '17 at 14:47
$begingroup$
That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48
$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
$endgroup$
– ciaran
Apr 13 '17 at 14:47
$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
$endgroup$
– ciaran
Apr 13 '17 at 14:47
$begingroup$
That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48
$begingroup$
That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48
add a comment |
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$begingroup$
2. The wealth of Mexico is well modeled by a Pareto(α,λ) distribution, f(x) = αλα(λ+x) −α−1 , for x >0, α >1 and λ >0. (a) Assuming λ known: i. Find the method of moments estimator for α . ii. Find the mle for α. (b) Now assuming α known: i. Find the method of moments estimator for λ. ii. Find the mle for λ.
$endgroup$
– ciaran
Apr 13 '17 at 14:47
$begingroup$
That is the question, didn't get uploaded earlier...
$endgroup$
– ciaran
Apr 13 '17 at 14:48