G. Pantsulaia

activity

20122016

most citedConstructive Analysis in Infinitely many variables

5 citations · 14 across the 17 of their papers we have counts for

collaborators

Showing 2016Show all

6 papers · 1 filter

math.ST2016

On a consistent estimator of a useful signal in Ornstein-Uhlenbeck model in $C [- l, l [$

Levan Labadze, Zurab Kvatadze, Gogi Pantsulaia

~It is considered a transmittion process of a useful signal in Ornstein-Uhlenbeck model in $C [- l, l [$ defined by the stochastic differential equation $$ dΨ(t,x,ω)=\sum_{n=0…

math.ST2016★ 1 cited

Infinite-sample consistent estimations of parameters of the Wiener process with drift

Levan Labadze, Gimzer Saatashvili, Gogi Pantsulaia

We consider the Wiener process with drift $d X_{t} = μ d t + σ d W_{t}$ with initial value problem $X_{0} = x_{0}$ , where $x_{0} \in R$ , $μ \in R$ and $σ > 0$ are parameters. By use values $(z_k)_…

math.ST2016★ 2 cited

Estimation of the parameters of the Ornstein-Uhlenbeck's stochastic process

Levan Labadze, Gogi Pantsulaia

It is considered Ornstein-Uhlenbeck process $x_{t} = x_{0} e^{- θ t} + μ (1 - e^{- θ t}) + σ \int_{0}^{t} e^{- θ (t - s)} d W_{s}$ , where $x_{0} \in R$ , $θ > 0$ , $μ \in R$ and $σ > 0$ are parameters. By use…

math.CA2016

Representation of the Dirac delta function in $C (R^{\infty})$ in terms of infinite-dimensional Lebesgue measures

Gogi Pantsulaia, Givi Giorgadze

A representation of the Dirac delta function in $C (R^{\infty})$ in terms of infinite-dimensional Lebesgue measures in $R^{\infty}$ is obtained and some it's properties a…

math.CA2016

On uniform distribution for invariant extensions of the linear Lebesgue measure

A. Kirtadze, G. Pantsulaia, N. Rusiashvili

The concept of uniform distribution in $[0, 1]$ is extended for a certain strictly separated maximal (in the sense of cardinality) family $(λ_{t})_{t \in [0, 1]}$ of invariant extensio…

math.FA2016★ 2 cited

Calculation of Lebesgue Integrals by Using Uniformly Distributed Sequences in $(0, 1)$

Gogi Pantsulaia, Tengiz Kiria

We present modified proof of a certain version of Kolmogorov's strong law of large numbers for calculation of Lebesgue Integrals by using uniformly distributed sequences in $(0, 1)$ …