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Robust Filtering and Learning in State-Space Models: Skewness and Heavy Tails Via Asymmetric Laplace Distribution

IEEE Transactions on Signal Processing
State-space models are pivotal for dynamic system analysis but often struggle with outlier data that deviates from Gaussian distributions, frequently exhibiting skewness and heavy tails.
Yifan Yu, Shengjie Xiu, D. P. Palomar
semanticscholar   +1 more source

Asymmetric Multivariate Laplace Distribution

2001
In this chapter we present the theory of a class of multivariate laws that we term asymmetric Laplace (AL) distributions [see Kozubowski and Podgorski (1999bc), Kotz et al. (2000b)]. The class is an extension of both the symmetric multivariate Laplace distributions and the univariate AL distributions that were discussed in previous chapters.
Samuel Kotz   +2 more
openaire   +1 more source

Design Of Flow Direction Optimization Paradigm For Fractional Nonlinear Hammerstein Output Error System Identification With Shifted Asymmetric Laplace Distribution Noise

Journal of Computational and Nonlinear Dynamics
In this paper, the flow direction optimization algorithm (FDOA) is exploited for the parameter estimation of the fractional nonlinear Hammerstein output error (FNHOE) system under Shifted Asymmetric Laplace Distribution (SALD) noise.
Muhammad Aown Ali   +5 more
semanticscholar   +1 more source

Error Modeling via Asymmetric Laplace Distribution for Deep Neural Network Based Single-Channel Speech Enhancement

Interspeech, 2018
The minimum mean squared error (MMSE) as a conventional training criterion for deep neural network (DNN) based speech enhancement has been found many problems.
Li Chai, Jun Du, Chin-Hui Lee
semanticscholar   +1 more source

The asymmetric log-Laplace distribution as a limiting case of the generalized beta distribution

Statistics & Probability Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joshua D. Higbee   +2 more
openaire   +1 more source

On the Parameter Estimation of the Asymmetric Multivariate Laplace Distribution

Communications in Statistics - Theory and Methods, 2009
This article examines a family of three-parameter multivariate Laplace distributions ML p (a, μ, Σ) which is closed under constant shifts. Parameter vectors a and μ are called shift and shape parameter, respectively, positive definite p × p-matrix Σ is a scale parameter. The first three moments are derived and used for estimating the parameters.
openaire   +1 more source

Tests of Fit for Asymmetric Laplace Distributions with Applications on Financial Data

AIP Conference Proceedings, 2008
New goodness‐of‐fit tests for the family of asymmetric Laplace distributions are constructed. The proposed tests are based on a weighted integral incorporating the empirical characteristic function of suitably standardized data, and can be written in a closed form appropriate for computer implementation.
Kostas Fragiadakis   +3 more
openaire   +1 more source

Bayesian Value-at-Risk and expected shortfall forecasting via the asymmetric Laplace distribution

Computational Statistics & Data Analysis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian Chen 0018, Richard Gerlach, Zudi Lu
openaire   +2 more sources

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