2019
Том 71
№ 11

All Issues

Purtukhiya O. G.

Articles: 2
Article (Russian)

Consistent criteria for hypotheses testing

Purtukhiya O. G., Zerakidze Z. S.

↓ Abstract

Ukr. Mat. Zh. - 2019. - 71, № 4. - pp. 486-501

We investigate statistical structures that admit consistent criteria for hypotheses testing and establish necessary and sufficient conditions for the existence of consistent criteria for hypotheses testing.

Article (Russian)

Hedging of the European option with nonsmooth payment function

Glonti O. A., Purtukhiya O. G.

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 6. - pp. 773-787

We consider onе type of European option in the case of the Black – Scholes financial market model whose payment function is a certain combination of binary and Asian options. The corresponding hedging scheme is analyzed.We deduce the formula for the Clark stochastic integral representation of the corresponding Wiener functional with integrand represented in the explicit form.