Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Method of moments/maximum likelihood

  1. Jun 3, 2006 #1
    I just needed some help with a few questions.

    Consider N independent random variables having identical binomial distributions with parameters Θ and n= 3. If n0 of them take on the value 0, n1 of them take on the value 1, n2 of them take on the value 2 and n3 of them take on the value 3, use the method of moments to find a formula for estimating Θ.

    Since X=nΘ, therefore X=3Θ. Now we need to find the mean of the random variables, which is (0*n0+1*n1+2*n2+3*n3)/N, since there are N random variables. So we get 3Θ = (n1+2n2+3n3)/N. Hence, Θ=(n1+2n2+3n3)/3N

    Could someone tell me if I'm doing this right? Also, how would you use the method of maximum likelihood to estimate Θ?

    Thanks in advance.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Method of moments/maximum likelihood
  1. Maximum likelihood (Replies: 1)

  2. Maximum Likelihood (Replies: 6)

  3. Maximum likelihood (Replies: 6)

Loading...