• RecordNumber
    3948
  • Author

    Modarres, Reza

  • Crop_Body
    Reza Modarres
  • Title of Article

    On the Blocks of Interpoint Distances

  • Title Of Journal
    خبرنامه انجمن آمار ايران (JIRSS)
  • PublishInfo
    تهران :انجمن آمار ايران
  • Publication Year
    2021
  • Volum
    20
  • Issue Number
    1
  • Page
    197-218
  • Keywords
    Elliptical Model , Sphericity , Homogeneity , Total Variance
  • Abstract
    We study the blocks of interpoint distances, their distributions, correlations, independence and the homogeneity of their total variances. We discuss the exact and asymptotic distribution of the interpoint distances and their average under three models and provide connections between the correlation of interpoint distances with their vector correlation and test of sphericity. We discuss testing independence of the blocks based on the correlation of block interpoint distances. A homogeneity test of the total variances in each block and a simultaneous plot to visualize their relative ordering are presented.
    • Link To Document
    https://math.iranlibs.ir/dl/search/default.aspx?Term=3948&Field=0&DTC=14