The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test
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Publication:5055330
DOI10.1017/apr.2021.56zbMath1503.60026arXiv1906.10951OpenAlexW3042853982MaRDI QIDQ5055330
Irene Crimaldi, Giacomo Aletti
Publication date: 13 December 2022
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.10951
central limit theoremreinforcement learningchi-squared testPólya urnpreferential attachmenturn modelempirical meanpredictive meanreinforced stochastic processcompact Markov chain
Parametric hypothesis testing (62F03) Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Asymptotic properties of parametric tests (62F05)
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Generalized rescaled Pólya urn and its statistical application, Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization
Cites Work
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- Randomized urn models revisited using stochastic approximation
- The effect of dependence on chi-squared and empiric distribution tests of fit
- A survey of random processes with reinforcement
- Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
- Semimartingales: A course on stochastic processes
- Central limit theorem for an adaptive randomly reinforced urn model
- Dynamics of an adaptive randomly reinforced urn
- Synchronization of reinforced stochastic processes with a network-based interaction
- Synchronization and functional central limit theorems for interacting reinforced random walks
- On a preferential attachment and generalized Pólya's urn model
- Nonparametric covariate-adjusted response-adaptive design based on a functional urn model
- Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means
- Networks of reinforced stochastic processes: asymptotics for the empirical means
- Senile reinforced random walks
- Statistical properties of two-color randomly reinforced urn design targeting fixed allocations
- Markov processes and learning models
- Théorie ergodique pour des classes d'opérations non completement continues
- Central limit theorems for a hypergeometric randomly reinforced urn
- Asymptotics for randomly reinforced urns with random barriers
- Synchronization and fluctuation theorems for interacting Friedman urns
- A Central Limit Theorem and its Applications to Multicolor Randomly Reinforced Urns
- Polya Urn Models
- Testing the Equality of Two Proportions for Combined Unilateral and Bilateral Data
- Markov Chains and Stochastic Stability
- Ergodic properties of a class of non-Markovian processes
- The Analysis of Categorical Data From Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables
- Probability with Martingales
- An Alternate Multinomial Assessment of the Accuracy of the χ 2 Test of Goodness of Fit
- Goodness-of-fit tests for correlated data
- Goodness‐of‐fit Tests for GEE with Correlated Binary Data
- Synchronization via Interacting Reinforcement
- Randomly Reinforced Urn Designs with Prespecified Allocations
- On Generalized Pólya Urn Models
- A Strong Form of Stable Convergence
- Sur des chaînes à liaisons complètes
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
- Fluctuation theorems for synchronization of interacting Pólya's urns