Question: Write out the gradient and the Hessian for the least squares estimation of the parameters in the Gompertz model [ x_{i}=alpha mathrm{e}^{beta mathrm{e}^{gamma t_{i}}}+epsilon_{i} ]

Write out the gradient and the Hessian for the least squares estimation of the parameters in the Gompertz model

\[ x_{i}=\alpha \mathrm{e}^{\beta \mathrm{e}^{\gamma t_{i}}}+\epsilon_{i} \]

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