I need your help...Please read the document that I attached here...thanks!
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1. Let be a sample from a Bernoulli distribution with parameter p.
a. Derive the method of moments estimator of p.
b. Verify if your method of moments estimator of p is unbiased for p.
2. Let be a sample from a Gamma distribution with parameter and .
a. If is known, derive the method of moments estimator of .
b. Verify if your method of moments estimator of is unbiased for .
First read these threads:
http://www.mathhelpforum.com/math-he...tion-help.html (posts #1, #2)
http://www.mathhelpforum.com/math-he...tatistics.html (posts #1, #2)
http://www.mathhelpforum.com/math-he...estimator.html
http://www.mathhelpforum.com/math-he...estimator.html
http://www.mathhelpforum.com/math-he...estimator.html
1. a. .
Sample mean .
So use as the estimator.
1. b. Show whether or not .
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2. a. .
Sample mean .
So use as the estimator.
2. b. Show whether or not .