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Le cam theory on the comparison of statistical models (Q5043133)

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scientific article; zbMATH DE number 7604682

Language	Label	Description	Also known as
English	Le cam theory on the comparison of statistical models	scientific article; zbMATH DE number 7604682

Statements

scholarly article

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publication date

21 October 2022

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full work available at URL

https://arxiv.org/abs/1605.03301

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https://gradmath.org/2020/10/05/le-cam-theory-on-the-comparison-of-statistical-models/

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.ST

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math.PR

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stat.TH

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Sufficiency and Statistical Decision Functions

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Equivalent Comparisons of Experiments

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Asymptotic equivalence of nonparametric regression and white noise

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Asymptotic nonequivalence of nonparametric experiments when the smoothness index is \(1/2\)

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Asymptotic equivalence theory for nonparametric regression with random design

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Equivalence theory for density estimation, Poisson processes and Gaussian white noise with drift

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Limit experiments of GARCH

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Comparison of quantum statistical models: Equivalent conditions for sufficiency

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Deficiency distance between multinomial and multivariate normal experiments

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A continuous Gaussian approximation to a nonparametric regression in two dimensions

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Asymptotic approximation of nonparametric regression experiments with unknown variances

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Asymptotically sufficient statistics in nonparametric regression experiments with correlated noise

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Asymptotic statistical equivalence for scalar ergodic diffusions

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Asymptotic statistical equivalence for ergodic diffusions: the multidimensional case

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Asymptotic equivalence for a null recurrent diffusion

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Asymptotic equivalence of nonparametric regression and white noise model has its limits

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Asymptotic equivalence of nonparametric diffusion and Euler scheme experiments

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Asymptotic equivalence of estimating a Poisson intensity and a positive diffusion drift

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Asymptotic equivalence of spectral density estimation and Gaussian white noise

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Asymptotic equivalence for nonparametric generalized linear models

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Asymptotic equivalence for nonparametric regression

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Asymptotic equivalence of nonparametric autoregression and nonparametric regression

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Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics

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Comparison of linear normal experiments

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Asymptotic equivalence for a model of independent non identically distributed observations

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Sufficiency and Approximate Sufficiency

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On the information contained in additional observations

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Asymptotic methods in statistical decision theory

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Asymptotics in statistics. Some basic concepts.

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Asymptotic equivalence for inhomogeneous jump diffusion processes and white noise

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Asymptotic equivalence of discretely observed diffusion processes and their Euler scheme: small variance case

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Asymptotic equivalence of functional linear regression and a white noise inverse problem

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Asymptotic equivalence for nonparametric regression with non-regular errors

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Diffusion approximation for nonparametric autoregression

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Asymptotic equivalence of density estimation and Gaussian white noise

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Asymptotic equivalence for nonparametric regression with multivariate and random design

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Asymptotic equivalence for inference on the volatility from noisy observations

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On the asymptotic equivalence and rate of convergence of nonparametric regression and Gaussian white noise

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Asymptotic equivalence for regression under fractional noise

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Statistical Experiments and Decisions

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Mathematical theory of statistics. Statistical experiments and asymptotic decision theory

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Comparison of Translation Experiments

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The statistical work of Lucien Le Cam.

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Asymptotic nonequivalence of GARCH models and diffusions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5043133

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