STA255H1 Study Guide - Quiz Guide: Likelihood Function, Partition Coefficient
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Instructions: this quiz is open book; it is worth 3 points and you have 8 minutes to complete it. No electronic devices with possible internet access, such as phone, tablets and computers are allowed but non-programmable scienti c calculators are allowed. L(p; y) = n! y! (n y)! py(1 p)n y. (a) (2 marks) find the mle pm le for p. show all your work. To nd the mle estimate for p, we take the natural log of the likelihood function: l(p; y) = log (cid:16) n! y! (n y)! (cid:17) + y log p + (n y) log(1 p) Then we take the rst derivative of the log-likelihood function with respect to p. the. Rst part is a constant and has derivative = 0. = l (p; y) = y p n y. Setting the rst derivative of the log-likelihood equal to 0 and solving for p, we have.
