Recent content by gerv13
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Undergrad How Do I Complete the Square and Simplify This Equation?
yeahh i think that i must have done something wrong along the way, coz i don't think that i could make it too.. well the actual problem was to show: p(t|y) \propto (1 + \frac{n + 1/c}{\frac{s}{n} + \frac{\overline{y^2}(1/c)}{n + 1/c}})(\mu - \frac{n\overline{y}}{n + 1/c})^2 but yeahhh... -
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Undergrad How Do I Complete the Square and Simplify This Equation?
Hi, I'm almost at the end of a question but i seem to be stuck. I have the answer though.. so I am up to here so can someone please help me complete this: (\frac{n + \frac{1}{c}}{\frac{s}{n} }) [\mu^2 - 2\mu(\frac{n \overline{y}}{n+\frac{1}{c}})] then i completed the square: (\frac{n +... -
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Graduate How to Show That W Follows a Gamma Distribution
well in my lecture notes we answered the question "show that Chi^2 ~ Gamma(1/2,1/2)" and then they end with \therefore W_1~Gamma(1/2,1/2). I am not sure if that question relates to the question that I'm supposed to be answering. But I don't really understand what they did. Maybe if someone...- gerv13
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Work out the variance of the gamma
yupp i actually meant \Gamma sorry about that. but thanks for the help- gerv13
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate How to Show That W Follows a Gamma Distribution
Hi, For this question: If Z1 ~ \Gamma(\alpha1, \beta) and Z2 ~ \Gamma(\alpha2, \beta); Z1 and Z2 are independent, then Z = Z1 + Z2 ~\Gamma(\alpha1+\alpha2,\beta). Hence show that W ~ \Gamma(k/2,1/2) Well i know how to do the first part, by just multiplying the moment generating function of...- gerv13
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- Replies: 2
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Work out the variance of the gamma
Hi, I'm trying to work out the variance of the gamma(I'm up the the part where you multiply x^2 by the function), but i don't know how to work out what \gamma(\alpha + 2) equals to i know I am supposed to use the fact that \gamma(\alpha + 1) = \alpha \gamma(\alpha) but i don't...- gerv13
- Thread
- Gamma Variance Work
- Replies: 3
- Forum: Set Theory, Logic, Probability, Statistics