Parameter-based Fisher's information of orthogonal polynomials

被引:5
|
作者
Dehesa, J. S. [1 ,2 ]
Olmos, B. [1 ,2 ]
Yanez, R. J. [1 ,3 ]
机构
[1] Univ Granada, Inst Carlos Fis Teor & Computat 1, E-18071 Granada, Spain
[2] Univ Granada, Dept Fis Moderna, E-18071 Granada, Spain
[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
关键词
fisher information; classical orthogonal polynomials; Gegenbauer polynomials; Grosjean polynomials; Jacobi polynomials; Laguerre polynomials;
D O I
10.1016/j.cam.2007.02.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Fisher information of the classical orthogonal polynomials with respect to a parameter is introduced, its interest justified and its explicit expression for the Jacobi, Laguerre, Gegenbauer and Grosjean polynomials found. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:136 / 147
页数:12
相关论文
共 50 条
  • [21] Policy Gradients with Parameter-Based Exploration for Control
    Sehnke, Frank
    Osendorfer, Christian
    Rueckstiess, Thomas
    Graves, Alex
    Peters, Jan
    Schmidhuber, Juergen
    ARTIFICIAL NEURAL NETWORKS - ICANN 2008, PT I, 2008, 5163 : 387 - +
  • [22] Jensen divergence based on Fisher's information
    Sanchez-Moreno, P.
    Zarzo, A.
    Dehesa, J. S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (12)
  • [23] Variational Bayesian Parameter-Based Policy Exploration
    Hosino, Tikara
    2020 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2020,
  • [24] Image Parameter-Based Scatter Bar Optimization
    Chou, Ryan
    Hsiao, Li-Tung
    Liao, H. Y.
    Lin, Jack
    Shen, Regina
    Schacht, Jochen
    Chou, Dyiann
    Jayaram, Srividya
    LaCour, Pat
    LITHOGRAPHY ASIA 2008, 2008, 7140
  • [25] A Physical Parameter-Based Skidding Model for the Snakeboard
    Salman, Hadi
    Dear, Tony
    Babikian, Sevag
    Shammas, Elie
    Choset, Howie
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 7555 - 7560
  • [26] Wavelets based on orthogonal polynomials
    Fischer, B
    Prestin, J
    MATHEMATICS OF COMPUTATION, 1997, 66 (220) : 1593 - 1618
  • [27] FISHER INFORMATION AND PITMAN ESTIMATOR OF A LOCATION PARAMETER
    PORT, SC
    STONE, CJ
    ANNALS OF STATISTICS, 1974, 2 (02): : 225 - 247
  • [28] ON ANCILLARITY AND FISHER INFORMATION IN THE PRESENCE OF A NUISANCE PARAMETER
    GODAMBE, VP
    BIOMETRIKA, 1984, 71 (03) : 626 - 629
  • [29] Cluster parameter-based DBSCAN maps for image characterization
    Biro, Peter
    Kovacs, Balint Barna H.
    Novak, Tibor
    Erdelyi, Miklos
    COMPUTATIONAL AND STRUCTURAL BIOTECHNOLOGY JOURNAL, 2025, 27 : 920 - 927
  • [30] A quantum uncertainty relation based on Fisher's information
    Sanchez-Moreno, P.
    Plastino, A. R.
    Dehesa, J. S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (06)