A NOTE ON ASYMPTOTIC DISTRIBUTION OF PRODUCTS OF WEIGHTED SUMS

被引:0
|
作者
Miao, Yu [1 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Henan 453007, Peoples R China
关键词
Asymptotic distribution; products of weighted sums;
D O I
10.1080/1726037X.2012.10698611
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we establish the asymptotic distribution of products of weighted sums of independent, identically distributed, square integrable, positive random variable, which extends the results in Rempala and Wesolowski (2002).
引用
收藏
页码:99 / 105
页数:7
相关论文
共 50 条
  • [31] Asymptotic distribution of zeros for certain exponental sums
    Turrittin, HL
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 1944, 66 : 199 - 228
  • [32] A NOTE ON THE EXPONENTIAL CONVERGENCE RATE FOR PRODUCTS OF SUMS
    Miao, Yu
    Qian, Bin
    [J]. MATEMATICKI VESNIK, 2010, 62 (04): : 251 - 258
  • [33] A NOTE ON THE ASYMPTOTIC DISTRIBUTION OF RANGE
    COX, DR
    [J]. BIOMETRIKA, 1948, 35 (3-4) : 310 - 315
  • [35] On irregularities of distribution of weighted sums-of-digits
    Larcher, Gerhard
    Zellinger, Heidrun
    [J]. DISCRETE MATHEMATICS, 2011, 311 (2-3) : 109 - 123
  • [36] Exact Results for the Distribution of Randomly Weighted Sums
    Hitchen, Thomas
    Nadarajah, Saralees
    Filippo, Domma
    [J]. MATHEMATICS, 2024, 12 (01)
  • [37] SUMS OF RECIPROCALS OF WEIGHTED PRODUCTS OF THE SINE AND COSINE FUNCTIONS
    Melham, R. S.
    [J]. FIBONACCI QUARTERLY, 2018, 56 (02): : 99 - 105
  • [38] Bounds on Moments of Weighted Sums of Finite Riesz Products
    Bonami, Aline
    Latala, Rafal
    Nayar, Piotr
    Tkocz, Tomasz
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (06)
  • [39] Bounds on Moments of Weighted Sums of Finite Riesz Products
    Aline Bonami
    Rafał Latała
    Piotr Nayar
    Tomasz Tkocz
    [J]. Journal of Fourier Analysis and Applications, 2020, 26
  • [40] The distribution of sums and products of additive functions
    Martin, Greg
    Troupe, Lee
    [J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (01): : 103 - 131