A Land-owning Pattern Choice Model with EM algorithm

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  • EMアルゴリズムを用いた土地所有形態選択問題のモデル化

Abstract

<p>The purpose of this paper is to suggest methods of analyzing an urban history, using statistical model as land-owning pattern choice model. In constructing the model, this paper uses Cross-nested logit model which can describe the simultaneous choice probabilities, and introduces latent variables into the model assuming that there is a heterogeneity in preferences for land-owner. The model uses Expectation-Maximization (EM) algorithm known as the typical methods of machine learning for the parameter estimation, because EM algorithm is appropriate for maximizing Log-likelihood function in latent variable models. It proposes the methods to convert historical records to data for using the parameter estimation and accomplishes database construction which can analyze the land-own pattern in the modern local city. The parameter estimation results show statistically that there is heterogeneity in the choice preferences for land-owner, and that the tax and location variables impact on the land-owning pattern choice is significantly changed as time advances.</p><p></p>

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