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Parameter estimation of alpha-stable distributions based on MCMC

  • Yan Ling Hao*
  • , Zhi Ming Shan
  • , Feng Shen
  • , Dong Ze Lv
  • *Corresponding author for this work
  • Harbin Engineering University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The α -stable distribution is a very flexible tool to model NonGaussian data. Stable distributions can allow for modeling infinite variance, skewness and heavy tails, but gives rise to inferential problems related to the estimation of the stable distribution parameters. In this work, we study the estimation of α -stable distributions using numerical Bayesian sampling techniques such as Markov chain Monte Carlo (MCMC), which can simultaneously estimate the four parameters of the model with good performance. Metropolis-Hastings algorithm is used to update the parameters of α -stable distribution at every iteration. The simulation results show that our estimation method is capable of estimating all the parameters accurately.

Original languageEnglish
Title of host publication2011 3rd International Conference on Advanced Computer Control, ICACC 2011
Pages325-327
Number of pages3
DOIs
StatePublished - 2011
Externally publishedYes
Event3rd IEEE International Conference on Advanced Computer Control, ICACC 2011 - Harbin, China
Duration: 18 Jan 201120 Jan 2011

Publication series

Name2011 3rd International Conference on Advanced Computer Control, ICACC 2011

Conference

Conference3rd IEEE International Conference on Advanced Computer Control, ICACC 2011
Country/TerritoryChina
CityHarbin
Period18/01/1120/01/11

Keywords

  • Alpha Stable distributions
  • MCMC
  • Metropolis-Hastings algorithm

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