• DocumentCode
    1781016
  • Title

    Simple α-μ approximation to lognormal sums

  • Author

    Bing Wang ; Guolong Cui ; Lingjiang Kong ; Wei Yi

  • Author_Institution
    Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
  • fYear
    2014
  • fDate
    19-23 May 2014
  • Abstract
    In this paper, we adopt the α-μ distribution to approximate the statistic distribution of the sum of independent and possibly non-identically distributed lognormal variables, and obtain the shape and scale parameters using both the moment matching method and Non-linear Least Square Method. Finally, we evaluate the performance via numerical simulations, the results illustrate that the α-μ approximation fits well the sum of the lognormal variables.
  • Keywords
    least mean squares methods; log normal distribution; random processes; α-μ distribution; lognormal sums; moment matching method; nonidentical distributed lognormal variable; nonlinear least square method; numerical simulations; scale parameters; shape parameters; simple α-μ approximation; statistic distribution; Equations; Least squares approximations; Monte Carlo methods; Radar cross-sections; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Radar Conference, 2014 IEEE
  • Conference_Location
    Cincinnati, OH
  • Print_ISBN
    978-1-4799-2034-1
  • Type

    conf

  • DOI
    10.1109/RADAR.2014.6875632
  • Filename
    6875632