Estimating functionals of one-dimensional Gibbs states

DOI10.1007/BF00354757zbMath0659.62116OpenAlexW2054168612MaRDI QIDQ1112525

Chuanshu Ji

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00354757

zbMATH Keywords

asymptotic normalityasymptotic efficiencymaximum likelihood estimatorstrong consistencyone-dimensional Gibbs states

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Inference from stochastic processes (62M99)

Related Items (6)

How Gibbs distributions may naturally arise from synaptic adaptation mechanisms. A model-based argumentation ⋮ Estimating functionals of one-dimensional Gibbs states ⋮ Dynamical hypothesis tests and decision theory for Gibbs distributions ⋮ Uniform LAN condition of planar Gibbsian point processes and optimality of maximum likelihood estimators of soft-core potential functions ⋮ Nonequilibrium in thermodynamic formalism: the second law, gases and information geometry ⋮ Bayes posterior convergence for loss functions via almost additive thermodynamic formalism

Uses Software

• spatial

Cites Work

• Distribution of periodic orbits of symbolic and axiom A flows
• Estimating functionals of one-dimensional Gibbs states
• On a Non-Parametric Analogue of the Information Matrix
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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