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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/72229


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    題名: On variances of partial volumes of the typical cell of a Poisson-Voronoi tessellation and large-dimensional volume degeneracy
    作者: Yao , Yi-Ching
    姚怡慶
    貢獻者: 統計系
    日期: 2010-06
    上傳時間: 2014-12-23 15:20:03 (UTC+8)
    摘要: For a typical cell of a homogeneous Poisson-Voronoi tessellation in Rd, it is shown that the variance of the volume of the intersection of the typical cell with any measurable subset of Rd is bounded by the variance of the volume of the typical cell. It is also shown that the variance of the volume of the intersection of the typical cell with a translation of itself is bounded by four times the variance of the volume of the typical cell. These bounds are applied to show large-dimensional volume degeneracy as d tends to ∞. An extension to the kth nearest-point Poisson-Voronoi tessellation for k ≥ 2 is also considered.
    關聯: Advances in Applied Probability,42(2),359-370
    資料類型: article
    DOI 連結: http://dx.doi.org/10.1239/aap/1275055233
    DOI: 10.1239/aap/1275055233
    顯示於類別:[統計學系] 期刊論文

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