Cumulative entropies and sums of moments of order statistics

被引:0
|
作者
Buono, Francesco [1 ]
Kamps, Udo [1 ]
Kateri, Maria [1 ]
机构
[1] Rhein Westfal TH Aachen, Inst Stat, D-52056 Aachen, Germany
关键词
Cumulative entropy; cumulative residual entropy; order statistics; weighted entropies; RESIDUAL ENTROPY;
D O I
10.1080/03610926.2024.2391435
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Generalized weighted cumulative residual entropies and generalized weighted cumulative entropies are represented by means of weighted sums of moments of upper and lower order statistics, respectively. A variety of examples is shown by specifying the weight function.
引用
下载
收藏
页数:8
相关论文
共 50 条
  • [1] On Cumulative Entropies in Terms of Moments of Order Statistics
    Narayanaswamy Balakrishnan
    Francesco Buono
    Maria Longobardi
    Methodology and Computing in Applied Probability, 2022, 24 : 345 - 359
  • [2] On Cumulative Entropies in Terms of Moments of Order Statistics
    Balakrishnan, Narayanaswamy
    Buono, Francesco
    Longobardi, Maria
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2022, 24 (01) : 345 - 359
  • [3] ON MOMENTS OF CUMULATIVE SUMS
    ERICSON, R
    ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (06): : 1803 - &
  • [4] Approximation to the moments of ratios of cumulative sums
    Shi, Xiaoping
    Reid, Nancy
    Wu, Yuehua
    CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2014, 42 (02): : 325 - 336
  • [5] Alternating sums of sub-diagonal product moments of order statistics
    Chakraborty, S
    Joshi, PC
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1998, 27 (05) : 1049 - 1054
  • [6] On Renyi entropies of order statistics
    Thapliyal, Richa
    Taneja, H. C.
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (06)
  • [7] MOMENTS OF ORDER STATISTICS
    HIRAKAWA, K
    ANNALS OF STATISTICS, 1973, 1 (02): : 392 - 394
  • [8] High order moments of character sums
    Cochrane, T
    Zheng, ZY
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) : 951 - 956
  • [9] On moments of bivariate order statistics
    Barakat, HM
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1999, 51 (02) : 351 - 358
  • [10] MOMENTS OF UNIFORM ORDER STATISTICS
    WHITE, JS
    ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (05): : 1609 - &