A

how can maximum the

\( \sum\limits_{j=1}^{J}{\sum\limits_{t=1}^{T}{h_{jt}(x_t;\theta)\dfrac{e^{\alpha_j+X\beta}}{\sum\limits_{l=1}^{L}{e^{\alpha_l+X\beta}}}}}\)

where \(h_{jt}\) is known and\(\alpha\) and \(\beta=(\beta_1,\ldots,\beta_s)\) are parameter and must be estimate.

\( \sum\limits_{j=1}^{J}{\sum\limits_{t=1}^{T}{h_{jt}(x_t;\theta)\dfrac{e^{\alpha_j+X\beta}}{\sum\limits_{l=1}^{L}{e^{\alpha_l+X\beta}}}}}\)

where \(h_{jt}\) is known and\(\alpha\) and \(\beta=(\beta_1,\ldots,\beta_s)\) are parameter and must be estimate.

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