UNIFORM MODERATE DEVIATION OF SAMPLE QUANTILES AND ORDER STATISTICS

被引:1
|
作者
Xu, ShouFang [1 ]
Miao, Yu [2 ]
机构
[1] Xinxiang Univ, Dept Math & Informat Sci, Xinxiang 453000, Henan Province, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China
关键词
p-quantile; sample p-quantile; order statistics; uniform moderate deviation;
D O I
10.4134/BKMS.2014.51.5.1399
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we establish the F-p-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.
引用
收藏
页码:1399 / 1409
页数:11
相关论文
共 50 条
  • [41] Uniform estimates for order statistics and Orlicz functions
    Gordon, Yehoram
    Litvak, Alexander E.
    Schuett, Carsten
    Werner, Elisabeth
    [J]. POSITIVITY, 2012, 16 (01) : 1 - 28
  • [42] On distributions of order statistics and their applications to uniform distribution
    Hans Volkmer
    G. G. Hamedani
    [J]. Metrika, 2011, 74 : 287 - 295
  • [43] A refined Cramer-type moderate deviation for sums of local statistics
    Fang, Xiao
    Luo, Li
    Shao, Qi-Man
    [J]. BERNOULLI, 2020, 26 (03) : 2319 - 2352
  • [44] Estimating the sample mean and standard deviation from commonly reported quantiles in meta-analysis
    McGrath, Sean
    Zhao, XiaoFei
    Steele, Russell
    Thombs, Brett D.
    Benedetti, Andrea
    Levis, Brooke
    Riehm, Kira E.
    Saadat, Nazanin
    Levis, Alexander W.
    Azar, Marleine
    Rice, Danielle B.
    Sun, Ying
    Krishnan, Ankur
    He, Chen
    Wu, Yin
    Bhandari, Parash Mani
    Neupane, Dipika
    Imran, Mahrukh
    Boruff, Jill
    Cuijpers, Pim
    Gilbody, Simon
    Ioannidis, John P. A.
    Kloda, Lorie A.
    McMillan, Dean
    Patten, Scott B.
    Shrier, Ian
    Ziegelstein, Roy C.
    Akena, Dickens H.
    Arroll, Bruce
    Ayalon, Liat
    Baradaran, Hamid R.
    Baron, Murray
    Beraldi, Anna
    Bombardier, Charles H.
    Butterworth, Peter
    Carter, Gregory
    Chagas, Marcos H.
    Chan, Juliana C. N.
    Cholera, Rushina
    Chowdhary, Neerja
    Clover, Kerrie
    Conwell, Yeates
    Ginkel, Janneke M. de Man-van
    Delgadillo, Jaime
    Fann, Jesse R.
    Fischer, Felix H.
    Fischler, Benjamin
    Fung, Daniel
    Gelaye, Bizu
    Goodyear-Smith, Felicity
    [J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2020, 29 (09) : 2520 - 2537
  • [45] Uniform estimates for order statistics and Orlicz functions
    Yehoram Gordon
    Alexander E. Litvak
    Carsten Schütt
    Elisabeth Werner
    [J]. Positivity, 2012, 16 : 1 - 28
  • [46] On a characterization of the uniform distribution by generalized order statistics
    Arslan, G.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (16) : 4532 - 4536
  • [47] On distributions of order statistics and their applications to uniform distribution
    Volkmer, Hans
    Hamedani, G. G.
    [J]. METRIKA, 2011, 74 (02) : 287 - 295
  • [48] Uniform estimates for averages of order statistics of matrices
    Lechner, Richard
    Passenbrunner, Markus
    Prochno, Joscha
    [J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2015, 20 : 1 - 12
  • [49] Uniform limit theorems for functions of order statistics
    Wozabal, Nancy
    [J]. STATISTICS & PROBABILITY LETTERS, 2009, 79 (12) : 1450 - 1455
  • [50] EXTREMA OF EXPECTATIONS OF UNIFORM ORDER-STATISTICS
    MALLOWS, CL
    [J]. SIAM REVIEW, 1969, 11 (03) : 410 - &