Asymptotically similar criteria (Q1836235)

scientific article; zbMATH DE number 3795177

Language	Label	Description	Also known as
English	Asymptotically similar criteria	scientific article; zbMATH DE number 3795177

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instance of

scholarly article

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title

Asymptotically similar criteria (English)

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author

A. V. Bernshtejn

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published in

Journal of Soviet Mathematics

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publication date

1981

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zbMATH Keywords

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Neyman C(alpha) tests

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chi-square tests

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asymptotically similar tests

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local asymptotic normality

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composite hypotheses

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likelihood ratio tests

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plug in rules

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contiguity

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On a Modification of the Standard Statistics of Pearson

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Chi-Square Test for Continuous Distributions with Shift and Scale Parameters

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Q4197884

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Q5574473

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Contiguity of Probability Measures

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Q5561562

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Q4048357

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Q3850329

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Maximum-Likelihood Estimation of Parameters Subject to Restraints

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Q3275309

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The Asymptotic Distribution of Conditional Likelihood Ratio Tests

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Rates of Convergence of Estimates and Test Statistics

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Q5671986

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Properties of sufficiency and statistical tests

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Q3250106

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On Optimal Asymptotic Tests of Composite Statistical Hypotheses

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On the Elimination of Nuisance Parameters

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On partial sufficiency: A review

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Locally Asymptotically Most Stringent Tests for Paired Comparison Experiments

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A Note on the Equivalence of Two Test Criteria for Hypotheses in Categorical Data

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Locally asymptotically most stringent tests and Lagrangian multiplier tests of linear hypotheses

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A New Proof of the Pearson-Fisher Theorem

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Q5679542

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Asymptotic likelihood theory for diffusion processes

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Non-Local Asymptotic Optimality of Appropriate Likelihood Ratio Tests

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LOCALLY OPTIMAL TEST FOR HOMOGENEITY WITH RESPECT TO VERY RARE EVENTS

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On optimal asymptotic tests of composite hypotheses with several constraints

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Q5331617

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Some results in statistical inference

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On asymptotic tests of composite hypotheses in nonstandard conditions

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On the Chi-Square Test when the Parameters are Estimated Independently of the Sample

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On the Distribution of the Likelihood Ratio

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Large-Sample Theory: Parametric Case

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The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit

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Q4766437

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Pearson chi-squared test of fit with random intervals

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On the Non-Existence of Tests of "Student's" Hypothesis Having Power Functions Independent of $\sigma$

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On Testing More than One Hypothesis

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SOME TESTS FOR INDEPENDENCE

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Asymptotic inference in stationary Gaussian time-series

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Hypothesis Testing When a Nuisance Parameter is Present Only Under the Alternative

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Weak convergence of the sample distribution function when parameters are estimated

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Complete class theorems derived from conditional complete class theorems

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A modified maximum likelihood test

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A Test for a Generalized Poisson Distribution

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Sufficient Statistics with Nuisance Parameters

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On A Multivariate Testing Problem

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On the Likelihood Ratio Test of a Normal Multivariate Testing Problem

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On the Likelihood Ratio Test of a Normal Multivariate Testing Problem II

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Distribution of Wilk's likelihood-ratio criterion in the complex case

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Asymptotically Most Powerful Rank-Order Tests

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The likelihood ratio criterion for a composite hypothesis under a local alternative

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The likelihood ratio criterion and the asymptotic expansion of its distribution

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FORERUNNERS OF THE PEARSON χ<sup>2</sup>

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Asymptotic properties of homogeneity tests

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IX. On the problem of the most efficient tests of statistical hypotheses

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Q5578667

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Zur Theorie der bedingten Tests

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Likelihood ratio and associated test criteria

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One-Sided Testing Problems in Multivariate Analysis

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Asymptotic distribution of the likelihood function in the independent not identically distributed case

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Q3276978

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Über einen $\chi^2$-Test, dessen Klassen durch geordnete Stichprobenfunktionen festgelegt werden

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Identifiers

zbMATH Open document ID

0504.62026

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DOI

10.1007/BF01085186

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1836235