Abstract

We propose a semi-parametric method for estimating the multinomial choice model using cyclical monotonicity moment inequalities. In our semiparametric approach, we do not specify the parametric distribution for the utility shocks, thus accommodating a wide variety of substitution patterns among alternatives. Compared with the conditional likelihood estimation method proposed by Chamberlain and the method proposed by Shi, Shum, and Song, simulations show that our method has some advantages in terms of mean bias, standard deviation and root mean squared error.

中文翻译：

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具有未观察到的异质性的多项选择模型的半参数估计

摘要

我们提出了一种使用循环单调矩不等式来估计多项式选择模型的半参数方法。在我们的半参数方法中，我们没有指定效用冲击的参数分布，因此可以适应各种替代模式。与Chamberlain提出的条件似然估计方法和Shi、Shum、Song提出的方法相比，仿真表明我们的方法在平均偏差、标准差和均方根误差方面具有一定的优势。