ツルタ　ヤスヒト   TSURUTA YASUHITO   鶴田　靖人    所属   明治大学  経営学部    職種   専任准教授
発行・発表の年月	2023
形態種別	学術雑誌
査読	査読あり
標題	Automatic data-based bin width selection for rose diagram
執筆形態	共著(筆頭者)
掲載誌名	Annals of the Institute of Statistical Mathematics
掲載区分	国外
担当区分	責任著者
著者・共著者	Yasuhito Tsuruta,Masahiko Sagae
概要	A rose diagram is a representation that circularly organizes data with the bin width as the central angle. This diagram is widely used to display and summarize circular data. Some studies have proposed the selector of bin width based on data. However, only a few papers have discussed the property of these selectors from a statistical perspective. Thus, this study aims to provide a data-based bin width selector for rose diagrams using a statistical approach. We consider that the radius of the rose diagram is a nonparametric estimator of the square root of two times the circular density. We derive the mean integrated square error of the rose diagram and its optimal bin width and propose two new selectors: normal reference rule and biased cross-validation. We show that biased cross-validation converges to its optimizer. Additionally, we propose a polygon rose diagram to enhance the rose diagram.
DOI	10.1007/s10463-023-00868-4
ISSN	0020-3157/1572-9052