Numerical Maximization: Suppose we want to maximize this likelihood with respect to 3: L(3|₁,...,Un) = -1/8 i=1 1. What is an expression for the log-likelihood of 3 given our data y₁,..., yn? (Only give your answer here.)

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**Numerical Maximization:** Suppose we want to maximize this likelihood with respect to \( \beta \):

\[
L(\beta|y_1, \ldots, y_n) = \prod_{i=1}^{n} \frac{1}{\beta} e^{-y_i/\beta}
\]

1. What is an expression for the log-likelihood of \( \beta \) given our data \( y_1, \ldots, y_n \)? (Only give your answer here.)
Transcribed Image Text:**Numerical Maximization:** Suppose we want to maximize this likelihood with respect to \( \beta \): \[ L(\beta|y_1, \ldots, y_n) = \prod_{i=1}^{n} \frac{1}{\beta} e^{-y_i/\beta} \] 1. What is an expression for the log-likelihood of \( \beta \) given our data \( y_1, \ldots, y_n \)? (Only give your answer here.)
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