A remark on the converse of Laplace's theorem

@article{Nikulin1992ARO,
  title={A remark on the converse of Laplace's theorem},
  author={Mikhail Nikulin},
  journal={Journal of Soviet Mathematics},
  year={1992},
  volume={59},
  pages={976-979}
}
  • M. Nikulin
  • Published 1 April 1992
  • Mathematics
  • Journal of Soviet Mathematics
UDC 519.21 1. At the beginning of the 1940's S. N. Bernshtein established that in the case of the binomial distribution the a posteriori distribution of the probability of positive outcome as the number of experiments increases without bound is practically independent of the a priori distribution. Bernshtein proved this fact under the assumption that the binomial distribution satisfies the hypotheses of the central limit theorem (in the present case, the hypotheses of Laplace's theorem). In… 
Managing Innovation in View of the Uncertainties
Study of the problems of uncertainty in innovation is at present the most up to date. Approaches to its definition, arranged primarily on the assumption and include the known parameters, which

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Optimal Statistical Decisions
Foreword.Preface.PART ONE. SURVEY OF PROBABILITY THEORY.Chapter 1. Introduction.Chapter 2. Experiments, Sample Spaces, and Probability.2.1 Experiments and Sample Spaces.2.2 Set Theory.2.3 Events and