Random intervals based on records

被引:7
|
作者
Stepanov, A [1 ]
机构
[1] Kaliningrad State Tech Univ, Dept Math, Kaliningrad 236000, Russia
关键词
order statistics; records; random intervals; conditional distribution;
D O I
10.1016/S0378-3758(02)00395-6
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
This paper studies properties of random intervals based on record values X(n) taken from samples of independent identically distributed random variables. The number of observations from such samples belonging to the interval (-infinity,X(n)) is what interested us most. Along with the direct way of studying such variables, we make use of the method of conditional distributions. (C) 2002 Elsevier B.V. All rights reserved.
引用
收藏
页码:103 / 113
页数:11
相关论文
共 50 条
  • [1] Confidence and prediction intervals based on interpolated records
    Ahmadi, Jafar
    Basiri, Elham
    Kundu, Debasis
    [J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2017, 29 (01) : 1 - 21
  • [2] Distribution-free confidence intervals for quantile intervals based on current records
    Ahmadi, J
    Balakrishnan, N
    [J]. STATISTICS & PROBABILITY LETTERS, 2005, 75 (03) : 190 - 202
  • [3] Outer and inner prediction intervals for order statistics intervals based on current records
    Ahmadi, Jafar
    Balakrishnan, N.
    [J]. STATISTICAL PAPERS, 2012, 53 (03) : 789 - 802
  • [4] Outer and inner prediction intervals for order statistics intervals based on current records
    Jafar Ahmadi
    N. Balakrishnan
    [J]. Statistical Papers, 2012, 53 : 789 - 802
  • [5] RANDOM INTERVALS
    JUSTICZ, J
    SCHEINERMAN, ER
    WINKLER, PM
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1990, 97 (10): : 881 - 889
  • [6] Statistical disclosure control based on random uncertainty intervals
    Wang, JF
    [J]. ENABLING SOCIETY WITH INFORMATION TECHNOLOGY, 2002, : 244 - 253
  • [7] Confidence intervals for quantiles based on samples of random sizes
    Al-Mutairi, Jazaa S.
    Raqab, Mohammad Z.
    [J]. STATISTICAL PAPERS, 2020, 61 (01) : 261 - 277
  • [8] Confidence intervals for quantiles based on samples of random sizes
    Jazaa S. Al-Mutairi
    Mohammad Z. Raqab
    [J]. Statistical Papers, 2020, 61 : 261 - 277
  • [9] Prediction intervals for future records
    Raqab, Mohammad Z.
    Balakrishnan, N.
    [J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (13) : 1955 - 1963
  • [10] PACKING RANDOM INTERVALS
    Rhee, Wansoo T.
    Talagrand, Michel
    [J]. ANNALS OF APPLIED PROBABILITY, 1996, 6 (02): : 572 - 576