Yuliya Mishura
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Ukrainian mathematician
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Mathematics
Yuliya Mishura's Degrees
- PhD Mathematics Taras Shevchenko National University of Kyiv
- Doctorate Mathematics Taras Shevchenko National University of Kyiv
Why Is Yuliya Mishura Influential?
(Suggest an Edit or Addition)According to Wikipedia, Yuliya Stepanivna Mishura is a Ukrainian mathematician specializing in probability theory and mathematical finance. She is a professor at the Taras Shevchenko National University of Kyiv. Education and career Mishura earned a Ph.D. in 1978 from the Taras Shevchenko National University of Kyiv with a dissertation on Limit Theorems for Functionals from Stochastic Fields supervised by Dmitrii Sergeevich Silvestrov. She earned a Dr. Sci. from the National Academy of Sciences of Ukraine in 1990 with a dissertation Martingale Methods in the Theory of Stochastic Fields.
Yuliya Mishura's Published Works
Published Works
- Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations (2016) (132)
- On drift parameter estimation in models with fractional Brownian motion (2011) (57)
- Mixed stochastic differential equations with long-range dependence: Existence, uniqueness and convergence of solutions (2011) (48)
- Parameter Estimation in Fractional Diffusion Models (2018) (40)
- Mixed Brownian–fractional Brownian model: absence of arbitrage and related topics (2006) (38)
- On hedging European options in geometric fractional Brownian motion market model (2009) (33)
- Fractional Lévy Processes as a Result of Compact Interval Integral Transformation (2010) (32)
- Bounds for expected maxima of Gaussian processes and their discrete approximations (2015) (30)
- The rate of convergence of Hurst index estimate for the stochastic differential equation (2012) (28)
- Fractional Cox–Ingersoll–Ross process with non-zero «mean» (2018) (26)
- Consistency of the drift parameter estimator for the discretized fractional Ornstein-Uhlenbeck process with Hurst index $H\in(0,\frac12)$ (2015) (26)
- Asymptotic behavior of mixed power variations and statistical estimation in mixed models (2013) (24)
- Fractional Ornstein-Uhlenbeck Process with Stochastic Forcing, and its Applications (2019) (21)
- Weak solutions for stochastic differential equations with additive fractional noise (2004) (19)
- Random variables as pathwise integrals with respect to fractional Brownian motion (2011) (18)
- Theory and Statistical Applications of Stochastic Processes (2018) (18)
- Statistics of stochastic processes (2010) (18)
- Approximation Schemes for Stochastic Differential Equations in Hilbert Space (2007) (18)
- Stochastic representation and path properties of a fractional Cox–Ingersoll–Ross process (2017) (18)
- Hypothesis testing of the drift parameter sign for fractional Ornstein-Uhlenbeck process (2016) (17)
- Fractional stochastic integration and Black–Scholes equation for fractional Brownian model with stochastic volatility (2004) (15)
- On (signed) Takagi–Landsberg functions: pth variation, maximum, and modulus of continuity (2018) (15)
- Option Pricing with Fractional Stochastic Volatility and Discontinuous Payoff Function of Polynomial Growth (2016) (15)
- Constructing functions with prescribed pathwise quadratic variation (2015) (14)
- Stochastic differential equations driven by a Wiener process and fractional Brownian motion: Convergence in Besov space with respect to a parameter (2011) (14)
- Asymptotic Properties of Drift Parameter Estimator Based on Discrete Observations of Stochastic Differential Equation Driven by Fractional Brownian Motion (2013) (14)
- Theory of Stochastic Processes: With Applications to Financial Mathematics and Risk Theory (2009) (13)
- Rate of convergence of Euler approximations of solution to mixed stochastic differential equation involving Brownian motion and fractional Brownian motion (2011) (13)
- Time-changed fractional Ornstein-Uhlenbeck process (2019) (12)
- Asymptotic growth of trajectories of multifractional Brownian motion, with statistical applications to drift parameter estimation (2016) (12)
- Maximum likelihood drift estimation for the mixing of two fractional Brownian motions (2015) (12)
- Fractional Cox–Ingersoll–Ross process with small Hurst indices (2018) (11)
- Boundary non-crossing probabilities for fractional Brownian motion with trend (2013) (11)
- Existence and uniqueness of a mild solution to the stochastic heat equation with white and fractional noises (2018) (11)
- Boundary noncrossings of additive Wiener fields∗ (2014) (11)
- Construction of maximum likelihood estimator in the mixed fractional--fractional Brownian motion model with double long-range dependence (2015) (11)
- Stochastic Viability and Comparison Theorems for Mixed Stochastic Differential Equations (2012) (11)
- Diffusion approximation of recurrent schemes for financial markets, with application to the Ornstein-Uhlenbeck process (2015) (11)
- An extension of the Lévy characterization to fractional Brownian motion (2006) (11)
- Pricing the European call option in the model with stochastic volatility driven by Ornstein--Uhlenbeck process. Exact formulas (2015) (10)
- Theory of Stochastic Processes (2010) (10)
- Differentiability of Fractional Integrals Whose Kernels Contain Fractional Brownian Motions (2001) (9)
- Standard maximum likelihood drift parameter estimator in the homogeneous diffusion model is always strongly consistent (2013) (9)
- Approximation of Fractional Brownian Motion by Martingales (2012) (8)
- Martingale transforms and Girsanov theorem for long-memory Gaussian processes (2001) (8)
- New and refined bounds for expected maxima of fractional Brownian motion (2016) (8)
- On the distribution of integral functionals of a homogeneous diffusion process (2014) (7)
- Asymptotic properties of non-standard drift parameter estimators in the models involving fractional Brownian motion (2017) (7)
- European call option issued on a bond governed by a geometric or a fractional geometric Ornstein-Uhlenbeck process (2014) (7)
- Option pricing in the model with stochastic volatility driven by Ornstein--Uhlenbeck process. Simulation (2015) (6)
- APPROXIMATING EXPECTED VALUE OF AN OPTION WITH NON-LIPSCHITZ PAYOFF IN FRACTIONAL HESTON-TYPE MODEL (2020) (6)
- The rate of convergence of option prices on the asset following a geometric Ornstein–Uhlenbeck process (2015) (6)
- Fractional Brownian Motion (2019) (6)
- The rate of convergence of option prices when general martingale discrete-time scheme approximates the Black-Scholes model (2015) (6)
- Quasi-linear stochastic differential equations with a fractional Brownian component (2004) (6)
- On pricing and hedging in financial markets with long-range dependence (2011) (6)
- Convergence of solutions of mixed stochastic delay differential equations with applications (2014) (5)
- Exponential formula and Girsanov theorem for mixed semilinear stochastic differential equations. (2001) (5)
- Estimation of the ruin probability of an insurance company operating on a BS-market (2007) (5)
- Example of a Gaussian Self-Similar Field With Stationary Rectangular Increments That Is Not a Fractional Brownian Sheet (2014) (5)
- Drift Parameter Estimation in Diffusion and Fractional Diffusion Models (2017) (5)
- Standard and fractional reflected Ornstein–Uhlenbeck processes as the limits of square roots of Cox–Ingersoll–Ross processes (2021) (5)
- Limit theorems for additive functionals of continuous time random walks (2019) (5)
- A bound for the distance between fractional Brownian motion and the space of Gaussian martingales on an interval (2011) (5)
- The rate of convergence of estimate for Hurst index of fractional Brownian motion involved into stochastic differential equation (2011) (5)
- High-frequency trading with fractional Brownian motion (2019) (5)
- Maximum likelihood drift estimation for Gaussian process with stationary increments (2016) (5)
- Dividend Barrier Strategies in A Renewal Risk Model with Generalized Erlang Interarrival Times (2012) (4)
- Fractional stochastic heat equation with piecewise constant coefficients (2019) (4)
- Practical approaches to the estimation of the ruin probability in a risk model with additional funds (2015) (4)
- Optimization of small deviation for mixed fractional Brownian motion with trend (2018) (4)
- Sandwiched SDEs with unbounded drift driven by Hölder noises (2020) (4)
- Optimal Stopping for Lévy Processes with One-Sided Solutions (2016) (4)
- Small ball properties and representation results (2015) (4)
- How Does Tempering Affect the Local and Global Properties of Fractional Brownian Motion? (2020) (4)
- Existence and uniqueness of solutions of stochastic differential equations with non-Lipschitz diffusion and Poisson measure (2010) (4)
- Fractional calculus and pathwise integration for Volterra processes driven by Lévy and martingale noise (2016) (4)
- The Optimal Time to Exchange one Asset for Another on Finite Interval (2009) (4)
- Weak convergence of integral functionals of random walks weakly convergent to fractional Brownian motion (2007) (4)
- On mean-variance hedging under partial observations and terminal wealth constraints (2017) (3)
- Functional limit theorems for stochastic integrals with applications to risk processes and to self-financing strategies in a multidimensional market. I (2010) (3)
- Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach (2016) (3)
- Replication of Wiener-Transformable Stochastic Processes with Application to Financial Markets with Memory (2017) (3)
- Two methods of estimation of the drift parameters of the Cox–Ingersoll–Ross process: Continuous observations (2020) (3)
- Maximum likelihood estimation for Gaussian process with nonlinear drift (2018) (3)
- Gaussian processes with Volterra kernels (2020) (3)
- Rate of convergence of option prices by using the method of pseudomoments (2016) (3)
- Stochastic Processes with Independent Increments (2017) (3)
- On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity (2020) (3)
- Two approaches to consistent estimation of parameters of mixed fractional Brownian motion with trend (2021) (3)
- The rate of convergence of the Euler scheme to the solution of stochastic differential equations with nonhomogeneous coefficients and non-Lipschitz diffusion (2011) (3)
- The distance between fractional Brownian motion and the subspace of martingales with “similar” kernels (2014) (3)
- An application of the Malliavin calculus for calculating the precise and approximate prices of options with stochastic volatility (2017) (3)
- Modern Stochastics and Applications (2014) (3)
- Stability Estimates for Finite-Dimensional Distributions of Time-Inhomogeneous Markov Chains (2020) (3)
- The rate of convergence to the normal law in terms of pseudomoments (2015) (2)
- Ruin probability in a risk model with a variable premium intensity and risky investments (2014) (2)
- Perpetual integral functionals of multidimensional stochastic processes (2020) (2)
- The Fokker-Planck equation for the time-changed fractional Ornstein-Uhlenbeck process (2020) (2)
- Drift Parameter Estimation in the Models Involving Fractional Brownian Motion (2016) (2)
- Drift parameter estimation in stochastic differential equation with multiplicative stochastic volatility (2016) (2)
- Drift-implicit Euler scheme for sandwiched processes driven by Hölder noises (2022) (2)
- Application of Malliavin calculus to exact and approximate option pricing under stochastic volatility (2016) (2)
- Small deviations for mixed fractional Brownian motion with trend and with Hurst index H>1/2 (2020) (2)
- New bounds for expected maxima of fractional Brownian motion (2016) (2)
- General Conditions of Weak Convergence of Discrete-Time Multiplicative Scheme to Asset Price with Memory (2020) (2)
- Approximate solutions to anticipative stochastic differential equations (2008) (2)
- Optimal stopping for Levy processes with polynomial rewards (2015) (2)
- Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations (2020) (2)
- Approximation of a Wiener process by integrals with respect to the fractional Brownian motion of power functions of a given exponent (2015) (2)
- On differentiability of solution to stochastic differential equation with fractional Brownian motion (2007) (1)
- Strong limit theorems for anisotropic self-similar fields (2014) (1)
- Discrete-Time Approximations and Limit Theorems (2021) (1)
- Fractional integrals, derivatives and integral equations with weighted Takagi-Landsberg functions (2020) (1)
- Approximate solution of the integral equations involving kernel with additional singularity (2020) (1)
- Fractional and Sub-fractional Brownian Motions (2018) (1)
- Stochastic integrals and stochastic differential equations with respect to the fractional Brownian field (2008) (1)
- Asymptotic Properties of an Intensity Estimator of an Inhomogeneous Poisson Process in a Combined Model (2000) (1)
- Convergence results for the time-changed fractional Ornstein–Uhlenbeck processes (2020) (1)
- Option pricing in Volterra sandwiched volatility model (2022) (1)
- Rate of convergence in the Euler scheme for stochastic differential equations with non-Lipschitz diffusion and Poisson measure (2011) (1)
- Fractional Ornstein-Uhlenbeck Process with Stochastic Forcing, and its Applications (2019) (1)
- Continuous dependence of solutions of stochastic differential equations driven by standard and fractional Brownian motion on a parameter (2011) (1)
- Parameter estimation in CKLS model by continuous observations (2021) (1)
- A bounded arbitrage strategy for a multiperiod model of a financial market in discrete time (2008) (1)
- Rate of convergence of option prices for approximations of the geometric Ornstein–Uhlenbeck process by Bernoulli jumps of prices on assets (2017) (1)
- An estimate of the rate of convergence of an approximating scheme applied to a stochastic differential equation with an additional parameter (2011) (1)
- Gaussian Volterra processes with power-type kernels. Part I (2022) (1)
- Gaussian multi-self-similar random fields with distinct stationary properties of their rectangular increments (2019) (1)
- Maximal upper bounds for the moments of stochastic integrals and solutions of stochastic differential equations with respect to fractional Brownian motion with Hurst index <1/2. II (2008) (1)
- Convergence with respect to the parameter of a series and the differentiability of barrier option prices with respect to the barrier (2010) (1)
- Prediction and interpolation (2010) (1)
- Convexity and robustness of the Rényi entropy (2021) (1)
- Stochastic differential equations with generalized stochastic volatility and statistical estimators (2018) (1)
- Distance from fractional Brownian motion with associated Hurst index 0<</mo>H<</mo>1/2 to the subspaces of Gaussian martingales involving power integrands with an arbitrary positive exponent (2020) (1)
- Functional limit theorems for stochastic integrals with applications to risk processes and to value processes of self-financing strategies in a multidimensional market. II (2011) (1)
- Asymptotic behavior of mixed power variations and statistical estimation in mixed models (2014) (1)
- Mixed Fractional and Mixed Sub-fractional Brownian Motions (2018) (1)
- Statistical estimation by power variations in mixed models (2013) (1)
- An Exponential Cox-Ingersoll-Ross Process as Discounting Factor (2018) (1)
- Analytical and Computational Problems Related to Fractional Gaussian Noise (2022) (1)
- Sandwiched processes driven by Hölder noises (2020) (1)
- Measures in a functional spaces. Weak convergence, probability metrics. Functional limit theorems (2010) (0)
- Optimal Control by the Franchise and Deductible Amounts in the Classical Risk Model (2017) (0)
- Preface (2011) (0)
- Stochastic processes in financial mathematics (discrete time) (2010) (0)
- Optimal stopping of random sequences and processes (2010) (0)
- Optimising dividends and consumption under an exponential CIR as a discount factor (2020) (0)
- Trajectories. Modifications. Filtrations (2010) (0)
- Filtering Problem. Kalman-Bucy Filter (2017) (0)
- How does tempering affect the local and global Ehsan Azmoodeh ? Yuliya Mishura {\dag} Farzad Sabzikarproperties of fractional Brownian motion? (2020) (0)
- PR ] 1 J ul 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- Classical Risk Model with Investments in a Risk-Free Asset (2017) (0)
- On the distribution of local times and integral functionals of a homogeneous diffusion process (2013) (0)
- Basic functionals of the risk theory (2010) (0)
- Markov and diffusion processes (2010) (0)
- Linear equations and stochastic exponents in a Hilbert space (2005) (0)
- Gaussian Volterra processes: Asymptotic growth and statistical estimation (2023) (0)
- Risk Models with Investments in Risk-Free and Risky Assets (2017) (0)
- Rate of convergence of discretized drift parameters estimators in the Cox–Ingersoll–Ross model (2023) (0)
- Two approaches to consistent estimation of parameters of mixed fractional Brownian motion with trend (2021) (0)
- Markov chains: Discrete and continuous time (2010) (0)
- Optimal filtration in systems with noise modeled by a polynomial of fractional Brownian motion (2006) (0)
- The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process (2021) (0)
- Martingales and related processes in discrete and continuous time. Stopping times (2010) (0)
- Other titles from iSTE in Mathematics and Statistics (2017) (0)
- Asymptotic expansion of an estimator for the Hurst coefficient (2022) (0)
- The Hurst Index Estimators for a Fractional Brownian Motion (2017) (0)
- Definition of stochastic process. Cylinder σ-algebra, finite-dimensional distributions, the Kolmogorov theorem (2010) (0)
- Martingales and Related Processes (2017) (0)
- Multiparameter Generalizations of the Dalang–Morton– Willinger Theorem (2006) (0)
- Continuity. Differentiability. Integrability (2010) (0)
- On properties of compensators and i-compensators of coordinate point processes on a plane (1995) (0)
- Anatolii Volodymyrovych Skorokhod (1930–2011) (2012) (0)
- Asymptotic Behavior of Homogeneous Additive Functionals Defined on the Solutions of Itô SDEs with Non-regular Dependence on a Parameter (2020) (0)
- Construction, Properties and Some Functionals of the Wiener Process and Fractional Brownian Motion (2017) (0)
- Rate of convergence of the price of European option on a market for which the jump of stock price is uniformly distributed over an interval (2008) (0)
- The $\alpha$-stable time-changed fractional Ornstein-Uhlenbeck process (2020) (0)
- Editorial (2014) (0)
- The weak convergence of Greek symbols for prices of European options: from discrete time to continuous (2015) (0)
- Stochastic Viability and Comparison Theorems for Mixed Stochastic Differential Equations (2013) (0)
- Stochastic Processes. General Properties. Trajectories, Finite-dimensional Distributions (2017) (0)
- On stocks and interest rates modeling in long-range dependent environment (2014) (0)
- Low-dimensional Cox-Ingersoll-Ross process (2023) (0)
- Boundary Non-crossing Probabilities of Gaussian Processes: Sharp Bounds and Asymptotics (2020) (0)
- Distance between the fractional Brownian motion and the space of adapted Gaussian martingales (2019) (0)
- Regularity of Trajectories of Stochastic Processes (2017) (0)
- Gaussian Processes. Integration with Respect to Gaussian Processes (2017) (0)
- Asymptotic Behavior of Integral Functionals of Stochastically Unstable Solutions (2020) (0)
- The Extended Orey Index for Gaussian Processes (2017) (0)
- Asymptotic growth of trajectories of multifractional Brownian motion, with statistical applications to drift parameter estimation (2016) (0)
- Asymptotic Analysis of Equations with Ergodic and Stochastically Unstable Solutions (2020) (0)
- Convergence of the maximum probability of success in the problem of quantile hedging for a model of an asset price process with long-range dependence (2012) (0)
- Characteristics of a stochastic process. Mean and covariance functions. Characteristic functions (2010) (0)
- Estimation of the Hurst Index from the Solution of a Stochastic Differential Equation (2017) (0)
- Ju l 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- Bounds and large deviation results for boundary non-crossing probabilities of Gaussian processes (2019) (0)
- Option pricing in fractional Heston-type model (2019) (0)
- Asymptotic Behavior of Homogeneous Additive Functionals of the Solutions to Inhomogeneous Itô SDEs with Non-regular Dependence on a Parameter (2020) (0)
- Divergence of an integral of a process with small ball estimate (2021) (0)
- Stochastic differential equations (2010) (0)
- 1 – Financial Markets with Discrete Time (2016) (0)
- The Itô formula for fractional Brownian fields (2004) (0)
- Workshop “Fractality and Fractionality” (2016) (0)
- Parameter estimation in the models with long-range dependence (2013) (0)
- Risk Model with Stochastic Premiums Investments in a Risk-Free Asset (2017) (0)
- Approximation of Fractional Brownian Motion by Martingales (2012) (0)
- The existence and properties of local time of the Skorohod integral (1993) (0)
- Risk Model with Variable Premium Intensity and Investments in One Risk-Free and a Few Risky Assets (2017) (0)
- Selected Facts from Calculus, Measure Theory and the Theory of Operators (2017) (0)
- Renewal theory. Queueing theory (2010) (0)
- PR ] 1 0 A pr 2 01 6 Hypothesis testing of the drift parameter sign for fractional Ornstein – Uhlenbeck process (2021) (0)
- Parameter estimation for Gaussian processes with application to the model with two independent fractional Brownian motions (2017) (0)
- 2 – Financial Markets with Continuous Time (2016) (0)
- Risk Model with Variable Premium Intensity and Investments in One Risky Asset (2017) (0)
- Boundary Non-crossing Probabilities of Gaussian Processes: Sharp Bounds and Asymptotics (2019) (0)
- The rate of convergence of option prices on the asset following a geometric Ornstein–Uhlenbeck process (2015) (0)
- Selected Facts from Probability Theory and Auxiliary Computations for Stochastic Processes (2017) (0)
- Stationary discrete- and continuous-time processes. Stochastic integral over measure with orthogonal values (2010) (0)
- Asymptotic behaviour and functional limit theorems for a time changed Wiener process (2020) (0)
- Stochastic processes in financial mathematics (continuous time) (2010) (0)
- Stochastic differential equations driven by additive Volterra-L\'evy and Volterra-Gaussian noises (2020) (0)
- Introduction to Unstable Processes and Their Asymptotic Behavior (2020) (0)
- PR ] 2 0 Ju l 2 01 9 LIMIT THEOREMS FOR ADDITIVE FUNCTIONALS OF CONTINUOUS TIME RANDOM WALKS (0)
- Parameter Estimation in the Mixed Models via Power Variations (2017) (0)
- Choosing an Optimal Switching Moment on the Financial Market with Alternative Strategies (Semimartingale Approach) (2001) (0)
- Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index (2023) (0)
- Optimising dividends and consumption under an exponential CIR as a discount factor (2020) (0)
- ANOTHER APPROACH TO THE PROBLEM OF THE RUIN PROBABILITY ESTIMATE FOR RISK PROCESS WITH INVESTMENTS (2008) (0)
- Utility maximization in Wiener-transformable markets (2015) (0)
- Stochastic processes with independent increments. Wiener and Poisson processes. Poisson point measures (2010) (0)
- Convergence of Unstable Solutions of SDEs to Homogeneous Markov Processes with Discontinuous Transition Density (2020) (0)
- On the ruin probability in a risk model with a variable premium intensity (2014) (0)
- BOUNDARY NON-CROSSINGS OF ADDITIVE WIENER FIELDS 1 (2014) (0)
- Boundary noncrossings of additive Wiener fields∗ (2014) (0)
- Classical Results on the Ruin Probabilities (2017) (0)
- Fractional diffusion Bessel processes with Hurst index $H\in(0,\frac12)$ (2023) (0)
- Numerical approach to the drift parameter estimation in the model with two fractional Brownian motions (2022) (0)
- Risk Model with Variable Premium Intensity and Investments in One Risky Asset up to the Stopping Time of Investment Activity (2017) (0)
- Description and Properties of the Basic Stochastic Models (2017) (0)
- How Does Tempering Affect the Local and Global Properties of Fractional Brownian Motion? (2021) (0)
- Organizing Committee Giulia Di Nunno Ryan Donnelly Damir Filipovic Yaroslav Melnyk Sergio Pulido Administrative Assistance (2015) (0)
- Option Pricing with Fractional Stochastic Volatility and Discontinuous Payoff Function of Polynomial Growth (2018) (0)
- Elements of fractional calculus. Fractional integrals (2022) (0)
- Long-range dependence in finance (2013) (0)
- Classical Risk Model with a Franchise and a Liability Limit (2017) (0)
- Limit behavior of the prices of a barrier option in the Black–Scholes model with random drift and volatility (2012) (0)
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