Shannon information in record data

被引：12
|
作者：
Madadi, Mohsen [1 ]
Tata, Mahbanoo [1 ]
机构：
[1] Shahid Bahnar Univ Kerman, Kerman, Iran
来源：
METRIKA | 2011年 / 74卷 / 01期
关键词：
Record values; Record times; Shannon information; Fisher information; Euler's constant; Digamma function; Zeta function; ENTROPY EXPRESSIONS;
D O I：
10.1007/s00184-009-0287-7
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：
In this article we present results on the Shannon information (SI) contained in upper (lower) record values and associated record times in a sequence of i.i.d continuous variables. We then establish an interesting relationship between the SI content of a random sample of fixed size, and the SI in the data consisting of sequential maxima. We also consider the information contained in the record data from an inverse sampling plan (ISP).
引用
收藏
页码：11 / 31
页数：21
相关论文
共 50 条
  • [1] Shannon information in record data
    Mohsen Madadi
    Mahbanoo Tata
    [J]. Metrika, 2011, 74 : 11 - 31
  • [2] Shannon information properties of the endpoints of record coverage
    Ahmadi, J.
    Fashandi, M.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (04) : 481 - 493
  • [3] On the Fisher information in record data
    Balakrishnan, N
    Stepanov, A
    [J]. STATISTICS & PROBABILITY LETTERS, 2006, 76 (05) : 537 - 545
  • [4] Fisher information in record data
    Hofmann, G
    Nagaraja, HN
    [J]. METRIKA, 2003, 57 (02) : 177 - 193
  • [5] Fisher information in record data
    Glenn Hofmann
    H. N. Nagaraja
    [J]. Metrika, 2003, 57 : 177 - 193
  • [6] Open data? Data, information, document or record?
    Borglund, Erik
    Engvall, Tove
    [J]. RECORDS MANAGEMENT JOURNAL, 2014, 24 (02) : 163 - +
  • [7] Highlighting anomalies in ultrasonic scan data by Shannon Information processing
    Lesage, Jonathan
    Marvasti, Mohammad
    Farla, Oliver
    [J]. NDT & E INTERNATIONAL, 2023, 139
  • [8] What is Shannon information?
    Lombardi, Olimpia
    Holik, Federico
    Vanni, Leonardo
    [J]. SYNTHESE, 2016, 193 (07) : 1983 - 2012
  • [9] CALCULATION OF THE SHANNON INFORMATION
    BAKER, CR
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (01) : 115 - 123
  • [10] What is Shannon information?
    Olimpia Lombardi
    Federico Holik
    Leonardo Vanni
    [J]. Synthese, 2016, 193 : 1983 - 2012
12345