Research on estimation of underlying distribution in categorical data analysis

2018 Fiscal Year Final Research Report

• Project/Area Number: 17K14240
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Nihon University (2018); Tokyo University of Science (2017)
• Principal Investigator: Iki Kiyotaka 日本大学, 経済学部, 講師 (30711593)
• Project Period (FY): 2017-04-01 – 2019-03-31
• Keywords: 正方分割表 / 潜在分布 / 対称性

Outline of Final Research Achievements

When bivariate log-normal distribution is assumed as the underlying distribution, we proposed a model that fits well. We also show the decomposition theorem of the symmetric model using the proposed model. Furthermore, it was possible to show through simulation that under what conditions the proposed model is good. Other than this, although it can not be called direct research results, a total of seven papers have been accepted and published in peer-reviewed journals in the process of working on the research.

Free Research Field

数理統計学

Academic Significance and Societal Importance of the Research Achievements

連続型の変数を、いくつかの切断点を設けて離散型の変数に変換し解析を行うことは、医学や経済学など様々な分野で行われているが、潜在分布に焦点を当てた研究はこれまで数少なかった。本研究で得られた成果をそれらの分野のデータに対して適用することで、これまでより詳細な解析が可能となる。