Stieltjes Sample Characteristic Function: Singular Continuous Distributions Parameters Estimation

  • P. Ahmadi Ghotbi
  • Z. ShisheborEmail author
  • A. R. Soltani
Research Paper
Part of the following topical collections:
  1. Mathematics


In this paper, the Steiltjes sample characteristic function is introduced and studied. It is applied to establish a new parameter estimation method. The method is useful to estimate parameters of singular continuous distributions, where other estimation procedures such as maximum likelihood and empirical characteristic function fail to be applied. We fit well the Cantor's type distribution with the parameters estimated by the proposed method on the log returns of the daily price of Brazilian coffee. Effectiveness of the estimation approach is also numerically demonstrated in estimating the parameters of the standard two-sided power and the asymmetric Laplace distributions, using simulated and a real financial data set. Certain theoretical derivations concerning the Stieltjes sample characteristic function are given as well.


Asymmetric Laplace Bold play Cantor Singular continuous Standard two-sided power Stieltjes sample characteristic function 


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© Shiraz University 2019

Authors and Affiliations

  1. 1.Department of Statistics, Faculty of SciencesShiraz UniversityShirazIran
  2. 2.Department of Statistics and Operations Research, Faculty of ScienceKuwait UniversityKuwait CityKuwait

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