Studies of information quantities and information geometry of higher order cumulant spaces
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Publication:716255
DOI10.1016/j.stamet.2009.12.003zbMath1230.62005OpenAlexW2043633672MaRDI QIDQ716255
Publication date: 27 April 2011
Published in: Statistical Methodology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.stamet.2009.12.003
entropyRiemannian metricmutual informationaffine connectionsdivergenceinformation geometrycumulant spectraWiener-Itô expansion
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) System identification (93B30) Statistical aspects of information-theoretic topics (62B10) Local Riemannian geometry (53B20)
Related Items (2)
Conformal geometry of sequential test in multidimensional curved exponential family ⋮ Conformal Geometry of Statistical Manifold with Application to Sequential Estimation
Cites Work
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- Differential geometry of Edgeworth expansions in curved exponential family
- Time series nonlinearity modeling: A Giannakis formula type approach
- An analysis of entropy estimators for blind source separation
- Deconvolution and estimation of transfer function phase and coefficients for nongaussian linear processes
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Identification of non-minimum phase transfer function using higher-order spectrum
- Independent component analysis, a new concept?
- Asymptotic theory for information criteria in model selection -- functional approach
- Identification of transfer function matrix using higher-order spectra
- Differential-geometrical methods in statistics
- New parametric measures of information
- Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence
- FREQUENCY DOMAIN TESTS OF MULTIVARIATE GAUSSIANITY AND LINEARITY
- Generalised information criteria in model selection
- Identification of multivariable stochastic linear systems via polyspectral analysis given noisy input-output time-domain data
- Blind identification of bilinear systems
- Limiting behavior of functionals of higher-order sample cumulant spectra
- A new look at the statistical model identification
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