Projective power entropy and maximum Tsallis entropy distributions
From MaRDI portal
Publication:400946
DOI10.3390/e13101746zbMath1301.82002OpenAlexW1988068576WikidataQ125280769 ScholiaQ125280769MaRDI QIDQ400946
Osamu Komori, Shinto Eguchi, Shogo Kato
Publication date: 26 August 2014
Published in: Entropy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/e13101746
Tsallis entropymaximum entropy distributionstatistical distribution\(L_p\) spaceelliptical contoured distributionescort distribution
Exact distribution theory in statistics (62E15) Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)
Related Items (11)
Group invariance of information geometry on \(q\)-Gaussian distributions induced by beta-divergence ⋮ Duality of maximum entropy and minimum divergence ⋮ Special issue: Tsallis entropy ⋮ Normalized estimating equation for robust parameter estimation ⋮ Robust Clustering Method in the Presence of Scattered Observations ⋮ Affine invariant divergences associated with proper composite scoring rules and their applications ⋮ \(\gamma\)-SUP: a clustering algorithm for cryo-electron microscopy images of asymmetric particles ⋮ Cramér-Rao lower bounds arising from generalized Csiszár divergences ⋮ Detection of heterogeneous structures on the Gaussian copula model using projective power entropy ⋮ Projection theorems and estimating equations for power-law models ⋮ Entropic risk minimization for nonparametric estimation of mixing distributions
Cites Work
- Unnamed Item
- Geometry of \(q\)-exponential family of probability distributions
- A differential geometric approach to statistical inference on the basis of contrast functionals
- A class of tests for a general covariance structure
- Entropy and divergence associated with power function and the statistical application
- Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities
- On Gauss's characterization of the normal distribution
- Robust parameter estimation with a small bias against heavy contamination
- Second order efficiency of minimum contrast estimators in a curved exponential family
- Redescending \(M\)-estimates of multivariate location and scatter
- Geometry of minimum contrast
- Robust m-estimators of multivariate location and scatter
- Game theory, maximum entropy, minimum discrepancy and robust Bayesian decision theory
- Possible generalization of Boltzmann-Gibbs statistics.
- Differential-geometrical methods in statistics
- Robust Blind Source Separation by Beta Divergence
- Maximum Likelihood Characterization of Distributions
- Introduction to Nonextensive Statistical Mechanics
- Robust and efficient estimation by minimising a density power divergence
- Some inequalities for information divergence and related measures of discrimination
This page was built for publication: Projective power entropy and maximum Tsallis entropy distributions
