A lower bound for Fisher's information measure

被引:17
|
作者
Plastino, A
Plastino, AR
Miller, HG
Khanna, FC
机构
[1] UNIV ALBERTA,DEPT PHYS,INST THEORET PHYS,EDMONTON,AB T6G 2J1,CANADA
[2] TRIUMF,VANCOUVER,BC V6T 2A3,CANADA
[3] NATL UNIV LA PLATA,DEPT PHYS,RA-1900 LA PLATA,ARGENTINA
[4] NATL UNIV LA PLATA,ASTRON & GEOPHYS FAC,RA-1900 LA PLATA,ARGENTINA
关键词
D O I
10.1016/0375-9601(96)00560-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
For systems of particles that are in a general state of motion a lower bound to Fisher's information measure is derived with the help of a recently established upper bound to the entropy increase. This bound to the information measure is the basis for a variational principle devised to determine unknown probability distributions. A simple example illustrates this idea.
引用
收藏
页码:29 / 33
页数:5
相关论文
共 50 条
  • [21] Fisher information and Cramer-Rao lower bound for experimental design in parallel imaging
    Bouhrara, Mustapha
    Spencer, Richard G.
    MAGNETIC RESONANCE IN MEDICINE, 2018, 79 (06) : 3249 - 3255
  • [22] Fisher information measure of geoelectrical signals
    Telesca, L
    Lapenna, V
    Lovallo, M
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (2-4) : 637 - 644
  • [23] Generalized measure of quantum Fisher information
    Sone, Akira
    Cerezo, M.
    Beckey, Jacob L.
    Coles, Patrick J.
    PHYSICAL REVIEW A, 2021, 104 (06)
  • [24] A Pessimistic Approximation for the Fisher Information Measure
    Stein, Manuel S.
    Nossek, Josef A.
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (02) : 386 - 396
  • [25] Lower bound on relaxed Wyner's Common Information
    Sula, Erixhen
    Gastpar, Michael
    2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2021, : 1510 - 1515
  • [26] Fisher information lower bounds for sampling
    Chewi, Sinho
    Gerber, Patrik
    Lee, Holden
    Lu, Chen
    INTERNATIONAL CONFERENCE ON ALGORITHMIC LEARNING THEORY, VOL 201, 2023, 201 : 375 - 410
  • [27] Fisher-Based Inaccuracy Information Measure
    Kharazmi, Omid
    Contreras-Reyes, Javier E.
    Balakrishnan, Narayanaswamy
    FLUCTUATION AND NOISE LETTERS, 2024,
  • [28] EFFICIENCY OF AN ESTIMATOR AND FISHER LOWER BOUND TO ASYMPTOTIC VARIANCE
    RAO, CR
    BULLETIN OF THE INTERNATIONAL STATISTICAL INSTITUTE, 1965, 41 (01): : 56 - 63
  • [29] Model selection by minimum description length: Lower-bound sample sizes for the Fisher information approximation
    Heck, Daniel W.
    Moshagen, Morten
    Erdfelder, Edgar
    JOURNAL OF MATHEMATICAL PSYCHOLOGY, 2014, 60 : 29 - 34
  • [30] Fisher's information measure in a Tsallis' nonextensive setting and its application to diffusive processes
    Pennini, F
    Plastino, A
    PHYSICA A, 1997, 247 (1-4): : 559 - 569