We follow [MNP+14] and wish to solve the following Maximum Likelihood problem:
Due to limitations with MathJax, Greek lower-case letters cannot be bolded. Hence, we use upright Greek bolded letters to denote vectors.
To do so, we can use the
mdmpy.mdm.MDM class, which includes a method for initialising the model in Pyomo, and another to solve it. In the next section, we will explore a few examples to see this in action.
|[MNP+14]||Vinit Kumar Mishra, Karthik Natarajan, Dhanesh Padmanabhan, Chung-Piaw Teo, and Xiaobo Li. On theoretical and empirical aspects of marginal distribution choice models. Management Science, 60(6):1511–1531, June 2014. URL: https://doi.org/10.1287/mnsc.2014.1906, doi:10.1287/mnsc.2014.1906.|