ON FRACTIONAL MOMENTS OF QUADRATIC EXPRESSIONS IN NORMAL VARIABLES

被引:4
|
作者
MATHAI, AM [1 ]
机构
[1] MCGILL UNIV,DEPT MATH & STAT,MONTREAL H3A 2K6,QUEBEC,CANADA
关键词
QUADRATIC FORMS IN NORMAL VARIABLES; SINGULAR NORMAL; FRACTIONAL MOMENTS; INVERSE MOMENTS; PRODUCT CUMULANTS; PRODUCT MOMENTS;
D O I
10.1080/03610929108830694
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
Fractional moments, product cumulants and product moments of general quadratic expressions in singular and nonsingular normal variables are explicitly evaluated. A general method of deriving such moments is also indicated. Particular cases are shown to agree with known results.
引用
收藏
页码:3159 / 3174
页数:16
相关论文
共 42 条
  • [31] A Quantile-Based SORA Method Using Maximum Entropy Method With Fractional Moments
    He, Wanxin
    Yang, Hua
    Zhao, Gang
    Zeng, Yan
    Li, Gang
    JOURNAL OF MECHANICAL DESIGN, 2021, 143 (04)
  • [32] A maximum entropy method using fractional moments and deep learning for geotechnical reliability analysis
    Wang, Ze Zhou
    Goh, Siang Huat
    ACTA GEOTECHNICA, 2022, 17 (04) : 1147 - 1166
  • [33] A maximum entropy method using fractional moments and deep learning for geotechnical reliability analysis
    Ze Zhou Wang
    Siang Huat Goh
    Acta Geotechnica, 2022, 17 : 1147 - 1166
  • [34] RECURRENCE RELATIONS AND IDENTITIES FOR PRODUCT MOMENTS OF ORDER-STATISTICS CORRESPONDING TO NONIDENTICALLY DISTRIBUTED VARIABLES
    BEG, MI
    SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1991, 53 : 365 - 374
  • [35] On Moments of Folded and Doubly Truncated Multivariate Extended Skew-Normal Distributions
    Galarza Morales, Christian E.
    Matos, Larissa A.
    Dey, Dipak K.
    Lachos, Victor H.
    JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2022, 31 (02) : 455 - 465
  • [36] Fractional moments for processing data from low dynamics acquisition systems in laser atmospheric scintillation
    Innocenti, C
    Consortini, A
    ATMOSPHERIC PROPAGATION, ADAPTIVE SYSTEMS, AND LASER RADAR TECHNOLOGY FOR REMOTE SENSING, 2000, 4167 : 94 - 100
  • [37] An Effective Approach for Reliability-Based Sensitivity Analysis with the Principle of Maximum Entropy and Fractional Moments
    Zhang, Xufang
    Liu, Jiankai
    Yan, Ying
    Pandey, Mahesh
    ENTROPY, 2019, 21 (07)
  • [38] SINGLE-LOOK POLSAR STATISTICAL ANALYSIS USING FRACTIONAL MOMENTS OF POLARIMETRIC WHITENING FILTER
    Khan, Salman
    Guida, Raffaella
    2013 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM (IGARSS), 2013, : 3187 - 3190
  • [39] A novel fractional moments-based maximum entropy method for high-dimensional reliability analysis
    Xu, Jun
    Dang, Chao
    APPLIED MATHEMATICAL MODELLING, 2019, 75 : 749 - 768
  • [40] Fractional moments for processing data from low-dynamics acquisition systems in laser atmospheric scintillation
    Innocenti, C
    Consortini, A
    OPTICAL ENGINEERING, 2001, 40 (12) : 2685 - 2689