2019
Том 71
№ 2

All Issues

Kuk Yu. V.

Articles: 6
Article (Russian)

Testing of numerous hypotheses with the use of an optimal extended nonrandomized procedure

Koval V. N., Kuk Yu. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 8. - pp. 1042–1054

We propose a new procedure for testing hypotheses with the use of optimal statistical criteria.

Article (Ukrainian)

Testing hypotheses by using optimal statistical criteria. II

Kuk Yu. V., Petunin Yu. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 506–515

We study the structure of the critical function of an optimal statistical criterion for testing an arbitrary finite set of simple alternative hypotheses.

Article (Ukrainian)

Testing hypotheses by using optimal statistical criteria. I

Kuk Yu. V., Petunin Yu. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 378–388

We propose a method for constructing statistical criteria. It can be used for testing an arbitrary finite set of simple alternative hypotheses. A concept of an optimal statistical criterion is introduced, special cases of which are the Bayesian criterion and the minimax criterion. It is proved that any optimal statistical criterion can be constructed on the basis of the likelihood ratio.

Article (Ukrainian)

Linear regression parameter estimation in the presence of constraints on linear regression coefficients

Kuk Yu. V., Petunin Yu. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1976. - 28, № 4. - pp. 463–472

Article (Ukrainian)

A new method to construct estimates for the coefficients of a linear regression

Kuk Yu. V., Petunin Yu. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1976. - 28, № 2. - pp. 237–243

Article (Ukrainian)

Asymptotic behavior of variance of best unbiased linear estimate of unknown mean of stationary random process obtained by uniform division of observation interval

Kuk Yu. V., Petunin Yu. I.

Full text (.pdf)

Ukr. Mat. Zh. - 1973. - 25, № 2. - pp. 214—227