JOURNAL ARTICLE

Maximum-likelihood symmetric α-stable parameter estimation

J.S. BodenschatzC.L. Nikias

Year: 1999 Journal:   IEEE Transactions on Signal Processing Vol: 47 (5)Pages: 1382-1384   Publisher: Institute of Electrical and Electronics Engineers

Abstract

Using the close relation between Fisher scoring and Newton maximization, and an efficient density function evaluation, we develop a fast maximum-likelihood parameter estimation method. Simulations show the algorithm to be superior in accuracy to McCulloch's (1986) method and to achieve the Cramer-Rao bound.

Keywords:
Estimation theory Maximum likelihood sequence estimation Mathematics Maximum likelihood Expectation–maximization algorithm Scoring algorithm Likelihood function Maximization Applied mathematics Cramér–Rao bound Upper and lower bounds Algorithm Statistics Mathematical optimization Newton's method Probability density function Mathematical analysis Nonlinear system

Metrics

14
Cited By
0.00
FWCI (Field Weighted Citation Impact)
10
Refs
0.08
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Control Systems and Identification
Physical Sciences →  Engineering →  Control and Systems Engineering
Blind Source Separation Techniques
Physical Sciences →  Computer Science →  Signal Processing
Advanced Adaptive Filtering Techniques
Physical Sciences →  Engineering →  Computational Mechanics

Related Documents

JOURNAL ARTICLE

Maximum likelihood estimation for symmetric α-stable Ornstein–Uhlenbeck processes

Zhifen ChenXiaopeng Chen

Journal:   Stochastics and Dynamics Year: 2020 Vol: 21 (04)Pages: 2150018-2150018
JOURNAL ARTICLE

Maximum likelihood estimation for α-stable autoregressive processes

Beth AndrewsMatthew CalderRichard A. Davis

Journal:   The Annals of Statistics Year: 2009 Vol: 37 (4)
BOOK-CHAPTER

Maximum Likelihood Parameter Estimation

Simon FarrellStephan Lewandowsky

Cambridge University Press eBooks Year: 2018 Pages: 72-104
JOURNAL ARTICLE

Symmetric maximum kernel likelihood estimation

Thomas JakiR. Webster West

Journal:   Journal of Statistical Computation and Simulation Year: 2010 Vol: 81 (2)Pages: 193-206
BOOK-CHAPTER

Parameter estimation — Maximum likelihood approaches

Year: 2008 Pages: 428-480
© 2026 ScienceGate Book Chapters — All rights reserved.