A. V. Bernshtein

Publications11
h-index2
Citations11
Highly Influential Citations0
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  • Publications
  • Influence
On Verifying Composite Hypotheses with Nuisance Parameters in the Multivariate Case
  • 6
The Structure of the Class of Absolutely Admissible Tests
  • 1
Strictly majorizing tests in problems with nuisance parameters
An existence theorem is proved for a strictly majorizing test of composite hypotheses. Statistical corollaries of the theorem are explored.
On Asymptotically Complete Classes of Tests in the Problem of Verification of Composite Hypotheses under Contiguous Alternatives
Verification of composite hypotheses from results of randomized experiments
Uniformity Classes in Problems of Testing Composite Hypotheses
On the Construction of Majorizing Tests
  • 2
A Refinement of Theorems on Complete Classes of Tests
Asymptotically similar criteria
Works are discussed on testing composite statistical hypotheses with parameters by means of criteria which asymptotically preserve a constant level of significance for all values of the nuisance… Expand
  • 2
Asymptotically Complete Classes of Tests in the Multivariate Case with Asymptotic Expansions
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