Gladkova L. "Statistics’ asymptotic problems for discrete distribution"

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U001185

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

10-03-2004

Specialized Academic Board

К 11.193.02

Essay

The properties of likelihood ratio is considered for discrete distribution. Limit theorems about behaviour of Hellinger integrals. Large deviations theorems for logarithm likelihood ratio in testing two simple preliminary propositions distinction for statistical experiments generated by the Bernoulli sequences and Galton-Watson processes with immigration examinations are proved. The behaviour of error probabilities for Neyman-Pearson tests, bayes and minimax test.

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