An approximate fractional Gaussian noise model with \(\mathcal{O}(n)\) computational cost
From MaRDI portal
Publication:2329801
DOI10.1007/s11222-018-9843-1zbMath1430.62207arXiv1709.06115OpenAlexW2962902680MaRDI QIDQ2329801
Eirik Myrvoll-Nilsen, Håvard Rue, Sigrunn H. Sørbye
Publication date: 18 October 2019
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06115
Toeplitz matrixlong-range dependenceautoregressive processGaussian Markov random fieldintegrated nested Laplace approximation
Computational methods for problems pertaining to statistics (62-08) Random fields; image analysis (62M40) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10)
Related Items
Uses Software
Cites Work
- Fast Sampling of Gaussian Markov Random Fields
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- On fast generation of fractional Gaussian noise
- Long memory relationships and the aggregation of dynamic models
- Penalising model component complexity: a principled, practical approach to constructing priors
- Long memory processes and fractional integration in econometrics
- Long memory, fractional integration, and cross-sectional aggregation
- From short to long memory: aggregation and estimation
- WHY FARIMA MODELS ARE BRITTLE
- Approximate Bayesian Inference for Latent Gaussian models by using Integrated Nested Laplace Approximations
- ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY
- The Fitting of Time-Series Models
- Estimation of Long-Memory Time Series Models: a Survey of Different Likelihood-Based Methods
- Testing for a change of the long-memory parameter
- Fractional differencing
- AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
- On Block Updating in Markov Random Field Models for Disease Mapping
- Gaussian Markov Random Fields
- Long-Memory Processes
- A FAST FRACTIONAL DIFFERENCE ALGORITHM
- An Algorithm for the Inversion of Finite Toeplitz Matrices
- Fractional Brownian Motions, Fractional Noises and Applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item