Game-theoretic statistics

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Game-theoretic statistics

Statistical modeling is the art of connecting abstract models with scientific or practical questions, so that the models’ probabilities throw light on these questions. Standard statistical theory summarizes the results with p-values. Unfortunately, p-values are widely misunderstood. Game-theoretic statistics replace them with e-values, also called betting scores. The model makes a forecast, the statistician makes an imaginary bet against it, and the value is the factor by which she multiplies her stake.

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Área matemática

Teoría de la probabilidad y Estadística

Relaciones con otros campos

Informática
Ingeniería y Tecnología
Finanzas
Humanidades y Ciencias sociales
Ciencias de la vida

Autor(es)

Glenn Shafer

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2026-009-EN

Descargar PDF

snapshot-2026-009.pdf

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snapshots: overview

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Game-theoretic statistics
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Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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The periodic tables of algebraic geometry
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Closed geodesics on surfaces
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Characterizations of intrinsic volumes on convex bodies and convex functions
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A tale of three curves
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Lagrangian mean curvature flow
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Invitation to quiver representation and Catalan combinatorics
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Rotating needles, vibrating strings, and Fourier summation
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Quantum symmetry
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Determinacy versus indeterminacy
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Vertex-to-Self Trajectories on the Platonic Solids
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Random matrix theory: Dyson Brownian motion
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Configuration spaces and braid groups
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Nonlinear Acoustics
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Random permutations
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Counting self-avoiding walks on the hexagonal lattice
A. S. Detinko, D. L. Flannery, A. Hulpke
Algebra, matrices, and computers
Jonathan Rosenberg, David Wraith
Positive Scalar Curvature and Applications
Hector Pasten
Diophantine equations and why they are hard
Martin Buhmann, Janin Jäger
On radial basis functions
Ralf Schiffler
Snake graphs, perfect matchings and continued fractions
Nicolai Baldin
Estimating the volume of a convex body
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Mixed volumes and mixed integrals
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A short story on optimal transport and its many applications
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Number theory in quantum computing
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The codimension
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Tropical geometry
Alex Barnett
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Topological recursion
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Spaces of Riemannian metrics
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A few shades of interpolation
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Molecular quantum dynamics
Marco Radeschi
Closed geodesics on surfaces and Riemannian manifolds
Christian Engwer, Markus Knappitsch
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Michael Baake, David Damanik, Uwe Grimm
Aperiodic Order and Spectral Properties
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Winkeltreue zahlt sich aus
Jacob Bedrossian
Towards a Mathematical Theory of Turbulence in Fluids
Laurent Bartholdi
Profinite groups
Dietmar Gallistl
The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
Lior Bary-Soroker
Prime Tuples in Function Fields
Rafael Guglielmetti, Matthieu Jacquemet
Polyhedra and commensurability
Manfred Deistler, Andreas Graef
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Robert Altmann, Jan Heiland
Wie steuert man einen Kran?
Anthony T Patera, Karsten Urban
High performance computing on smartphones
Eugenio Giannelli, Jay Taylor
Symmetry and characters of finite groups
Maria Dostert, Stefan Krupp, Jan Hendrick Rolfes
Das Problem der Kugelpackung
Tomasz Szemberg, Justyna Szpond
On the containment problem
Éric Fusy
Random sampling of domino and lozenge tilings
Magnus Egerstedt
Swarming robots
Ulrich Krähmer
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Domino tilings of the Aztec Diamond
Sebastian Funk
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Quantum diffusion
Amanda Swan, Albert Murtha
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J. Marron
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Christopher Sangwin
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Victoria Powers
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Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
Ideas of Newton-Okounkov bodies
Ben Schweizer
Darcy’s law and groundwater flow modelling
Raluca Eftimie
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Tom Solomon
Chaos and chaotic fluid mixing
Thorsten Holm
Friezes and tilings
George Willis
Zero-dimensional symmetry
Christine Breiner
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Billiards and flat surfaces
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Gregory Knese
Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
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Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
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Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Área matemática

Álgebra y Teoría de números
Análisis
Didáctica y Educación
Matemática discreta y Fundamentos
Geometría y Topología
Cálculo numérico y científico
Teoría de la probabilidad y Estadística

Relaciones con otros campos

Química y Ciencias de la Tierra
Informática
Ingeniería y Tecnología
Finanzas
Humanidades y Ciencias sociales
Ciencias de la vida
Física
Reflexiones sobre la matemática

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