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-5.6 -5.8 -6 -6.2 (a) 0 -20 -40 -60 (b) -6.4 -80 -6.6 -100 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 8

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-5.6 -5.8 -6 -6.2 (a) 0 -20 -40 -60 (b) -6.4 -80 -6.6 -100 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 8 6 4 2 (c) 3.5 3 2.5 103 (d) 0 2 -2 -4 1.5 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1 Q9.1 Panel (a) corresponds to (a) The likelihood function L(0) (b) The log-likelihood function 1(0) (c) The first derivative of the log-likelihood, l'(6) (d) The second derivative of the log-likelihood, "(0) Q9.2 Panel (b) corresponds to (a) The likelihood function L(6) (b) The log-likelihood function 1(0) (c) The first derivative of the log-likelihood, l'(6) (d) The second derivative of the log-likelihood, "(0) Q9.3 Panel (c) corresponds to (a) The likelihood function L(0) (b) The log-likelihood function (0) (c) The first derivative of the log-likelihood, l'(6) (d) The second derivative of the log-likelihood, "(0) Q9.4 Panel (d) corresponds to (a) The likelihood function L(0) (b) The log-likelihood function () (c) The first derivative of the log-likelihood, l'(6) (d) The second derivative of the log-likelihood, "(0) Q9.5 MLE The maximum likelihood estimate of is (a) -5.65 (b) 0.41 (c) -25 (d) 3.6 x 10-3 Quiz Questions A random sample is drawn from a parametric distribution with parameter > 0 and resulted in a likelihood function L(0), which is suitably smooth. The plots of the likelihood function, the log likelihood function, l(0), and its first two derivatives, are displayed below. The plots all have on the horizontal axis, but the labels on the diagrams are missing and the plots are in a jumbled order.

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