# Parametrizations, weights, and optimal prediction: Part 1

@inproceedings{Dermoune2018ParametrizationsWA, title={Parametrizations, weights, and optimal prediction: Part 1}, author={Azzouz Dermoune and Khalifa Es-Sebaiy and Mohammed Es.Sebaiy and Jabrane Moustaaid}, year={2018} }

We consider the problem of the annual mean temperature prediction. The years taken into account and the corresponding annual mean temperatures are denoted by $0,\ldots, n$ and $t_0$, $\ldots$, $t_n$, respectively. We propose to predict the temperature $t_{n+1}$ using the data $t_0$, $\ldots$, $t_n$. For each $0\leq l\leq n$ and each parametrization $\Theta^{(l)}$ of the Euclidean space $\mathbb{R}^{l+1}$ we construct a list of weights for the data $\{t_0,\ldots, t_l\}$ based on the rows of… CONTINUE READING

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