A new proof of the expansion of iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials
Fuente:
arXiv
Salvato in:
| Autore principale: | Kuznetsov, Dmitriy F. |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
Documenti analoghi
New representations of the Hu-Meyer formulas and series expansion of iterated Stratonovich stochastic integrals with respect to components of a multidimensional Wiener process
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2025)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2025)
Exact Calculation of the Mean-Square Error in the Method of Expansion of Iterated Ito Stochastic integrals Based on Generalized Multiple Fourier Series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Strong Approximation of Iterated Ito and Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series. Application to Numerical Solution of Ito SDEs and Semilinear SPDEs
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
Development and Application of the Fourier Method to the Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
Expansion of Iterated Ito Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Multiple Fourier Series Converging in the Mean
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
The Proof of Convergence with Probability 1 in the Method of Expansion of Iterated Ito Stochastic Integrals Based on Generalized Multiple Fourier Series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
Four New Forms of the Taylor-Ito and Taylor-Stratonovich Expansions and its Application to the High-Order Strong Numerical Methods for Ito Stochastic Differential Equations
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020)
Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals of Multiplicities 1 to 6 from the Taylor-Ito and Taylor-Stratonovich Expansions Using Legendre Polynomials
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
Implementation of Strong Numerical Methods of Orders 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0 for Ito SDEs with Non-Commutative Noise Based on the Unified Taylor-Ito and Taylor-Stratonovich Expansions and Multiple Fourier-Legendre Series
di: Kuznetsov, Mikhail D., et al.
Pubblicazione: (2020)
di: Kuznetsov, Mikhail D., et al.
Pubblicazione: (2020)
New Simple Method of Expansion of Iterated Ito Stochastic integrals of Multiplicity 2 Based on Expansion of the Brownian Motion Using Legendre Polynomials and Trigonometric Functions
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansions of Iterated Stratonovich Stochastic Integrals of Multiplicities 1 to 4. Combained Approach Based on Generalized Multiple and Iterated Fourier series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansions of Iterated Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series: Multiplicities 1 to 8 and Beyond
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 2. Combined Approach Based on Generalized Multiple and Iterated Fourier Series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Fifth, Sixth, Seventh and Eighth Multiplicities Based on Generalized Multiple Fourier Series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 2 Based on Double Fourier-Legendre Series Summarized by Pringsheim Method
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
The Itô integral with respect to an infinite dimensional Lévy process: A series approach
di: Tappe, Stefan
Pubblicazione: (2019)
di: Tappe, Stefan
Pubblicazione: (2019)
Expansions of Iterated Stratonovich Stochastic Integrals from the Taylor-Stratonovich Expansion, Based on Multiple Trigonometric Fourier Series. Comparison With the Milstein Expansion
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 3 Based on Generalized Multiple Fourier Series Converging in the Mean: General Case of Series Summation
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Some new concentration inequalities for the Itô stochastic integral
di: Dung, Nguyen Tien
Pubblicazione: (2023)
di: Dung, Nguyen Tien
Pubblicazione: (2023)
On the $1/H$-variation of the divergence integral with respect to a Hermite process
di: Čoupek, Petr, et al.
Pubblicazione: (2025)
di: Čoupek, Petr, et al.
Pubblicazione: (2025)
Entropy of Wiener integrals with respect to fractional Brownian motion
di: Bodnarchuk, Iryna, et al.
Pubblicazione: (2025)
di: Bodnarchuk, Iryna, et al.
Pubblicazione: (2025)
The Hypotheses on Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity and Their Partial Proof
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018)
Itô integral for a two-sided Lévy process
di: Balan, Raluca M., et al.
Pubblicazione: (2026)
di: Balan, Raluca M., et al.
Pubblicazione: (2026)
Berry-Esséen bound for complex Wiener-Itô integral
di: Chen, Huiping, et al.
Pubblicazione: (2024)
di: Chen, Huiping, et al.
Pubblicazione: (2024)
Sample path properties of multidimensional integral with respect to stochastic measure
di: Manikin, Boris, et al.
Pubblicazione: (2024)
di: Manikin, Boris, et al.
Pubblicazione: (2024)
Notes on stochastic integration theory with respect to càdlàg semimartingales and a brief introduction to Lévy processes
di: Bosch, Mark van den
Pubblicazione: (2024)
di: Bosch, Mark van den
Pubblicazione: (2024)
Itô's Formula for Itô processes defined with respect to a cylindrical-martingale valued measure
di: Cambronero, Santiago, et al.
Pubblicazione: (2024)
di: Cambronero, Santiago, et al.
Pubblicazione: (2024)
On the orthogonal expansion of iterated Stratonovich stochastic integrals
di: Rybakov, Konstantin A.
Pubblicazione: (2025)
di: Rybakov, Konstantin A.
Pubblicazione: (2025)
On moments of integrals with respect to Markov additive processes and of Markov modulated generalized Ornstein-Uhlenbeck processes
di: Behme, Anita, et al.
Pubblicazione: (2022)
di: Behme, Anita, et al.
Pubblicazione: (2022)
A Gaussian integral formula for the Hermite polynomials: Combinatorics, Asymptotics and Applications
di: Nica, Mihai, et al.
Pubblicazione: (2025)
di: Nica, Mihai, et al.
Pubblicazione: (2025)
Edgeworth expansion on Wiener chaos
di: Mansanarez, Paul, et al.
Pubblicazione: (2025)
di: Mansanarez, Paul, et al.
Pubblicazione: (2025)
RNN-BSDE method for high-dimensional fractional backward stochastic differential equations with Wick-Itô integrals
di: Cai, Chunhao, et al.
Pubblicazione: (2024)
di: Cai, Chunhao, et al.
Pubblicazione: (2024)
Stratonovich-type integral with respect to a general stochastic measure
di: Radchenko, Vadym
Pubblicazione: (2016)
di: Radchenko, Vadym
Pubblicazione: (2016)
Measuring multidimensional inequality: a new proposal based on the Fourier transform
di: Giudici, Paolo, et al.
Pubblicazione: (2024)
di: Giudici, Paolo, et al.
Pubblicazione: (2024)
Isomorphisms for spaces of predictable processes and an extension of the Itô integral
di: Rüdiger, Barbara, et al.
Pubblicazione: (2019)
di: Rüdiger, Barbara, et al.
Pubblicazione: (2019)
Exotic B-series representation of the Feller semigroup for Itô diffusions and the MSR path integral
di: Bonicelli, Alberto
Pubblicazione: (2025)
di: Bonicelli, Alberto
Pubblicazione: (2025)
Solving stochastic partial differential equations using neural networks in the Wiener chaos expansion
di: Neufeld, Ariel, et al.
Pubblicazione: (2024)
di: Neufeld, Ariel, et al.
Pubblicazione: (2024)
The Koopmanization of controlled nonlinear Itô stochastic differential systems and its comparison with the Carleman embedding: new results
di: Lambe, Amruta, et al.
Pubblicazione: (2025)
di: Lambe, Amruta, et al.
Pubblicazione: (2025)
On the Itô-Alekseev-Gröbner formula for stochastic differential equations
di: Hudde, Anselm, et al.
Pubblicazione: (2018)
di: Hudde, Anselm, et al.
Pubblicazione: (2018)
Documenti analoghi
-
New representations of the Hu-Meyer formulas and series expansion of iterated Stratonovich stochastic integrals with respect to components of a multidimensional Wiener process
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2025) -
Exact Calculation of the Mean-Square Error in the Method of Expansion of Iterated Ito Stochastic integrals Based on Generalized Multiple Fourier Series
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2018) -
Strong Approximation of Iterated Ito and Stratonovich Stochastic Integrals Based on Generalized Multiple Fourier Series. Application to Numerical Solution of Ito SDEs and Semilinear SPDEs
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2020) -
Development and Application of the Fourier Method to the Mean-Square Approximation of Iterated Ito and Stratonovich Stochastic Integrals
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017) -
Expansion of Iterated Ito Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Multiple Fourier Series Converging in the Mean
di: Kuznetsov, Dmitriy F.
Pubblicazione: (2017)