カナザワ,ユウイチロウ   KANAZAWA, Yuichiro
  金澤 雄一郎
   所属   国際基督教大学教養学部 アーツ・サイエンス学科
   職種   教授
言語種別 英語
発行・発表の年月 1988
形態種別 研究論文
査読 査読あり
標題 An optimal variable cell histogram.
執筆形態 単著
掲載誌名 Communications in Statistics - Theory and Method
掲載区分国外
出版社・発行元 Taylor and Francis
巻・号・頁 17(5),pp.1401-1422
概要 A simple procedure for specifying a histogram with variable cell sizes is proposed. The procedure chooses a set of cutpoints that maximizes a criterion function based on the sample spacings:Under some conditions, this estimated set of cutpoints is shown to converge in probability to the theoretical set of cutpoints for the histogram estimate that minimizes the Hellingerdistance to the underlying density. An algorithm for finding the set of cutpoints that numerically maximizes the criterion function is presented along with an example. Performance for finite sample sizes is evaluated by simulations.
DOI http://dx.doi.org/10.1080/03610928808829688