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Nikolai N. Leonenko
Articles in Scholarly Journals [Incomplete List]
Minimum contrast estimation of random processes based on information of second and third orders?
Journal of Statistical Planning and Inference, vol. 137, no. 4, pp. 1302–1331, 2007
Statistical inference using higher-order information?
Journal of Multivariate Analysis, vol. 98, no. 4, pp. 706–742, 2007
On the Whittle estimators for some classes of continuous-parameter random processes and fields?
Statistics & Probability Letters, vol. 76, no. 8, pp. 781–795, 2006
Weak convergence of functionals of stationary long memory processes to Rosenblatt-type distributions
Journal of Statistical Planning and Inference, vol. 136, no. 4, pp. 1220–1236, 2006
Spectral Properties of Burgers and KPZ Turbulence
Journal of Statistical Physics, vol. 122, no. 5, pp. 949–974, 2006
Scaling Laws for the Multidimensional Burgers Equation with Quadratic External Potential
Journal of Statistical Physics, vol. 124, no. 1, pp. 191–205, 2006
Spectral Properties of Uperpositions of Ornstein-Uhlenbeck Type Processes
Methodology and Computing in Applied Probability, vol. 7, no. 3, pp. 335–352, 2005
Convergence of integrated superpositions of Ornstein-Uhlenbeck processes to fractional Brownian motion
Stochastics: An International Journal of Probability and Stochastic Processes, vol. 77, no. 6, pp. 477–499, 2005
A new class of random vector entropy estimators and its applications in testing statistical hypotheses
Journal of Nonparametric Statistics, vol. 17, no. 3, pp. 277–297, 2005
Fractional random fields associated with stochastic fractional heat equations
Advances in Applied Probability, vol. 37, no. 1, pp. 108–133, 2005
Student processes
Advances in Applied Probability, vol. 37, no. 2, pp. 342–365, 2005
Burgers' turbulence problem with linear or quadratic external potential
Journal of Applied Probability, vol. 42, no. 2, pp. 550–565, 2005
On a class of minimum contrast estimators for fractional stochastic processes and fields
Journal of Statistical Planning and Inference, vol. 123, no. 1, pp. 161–185, 2004
Continuous-Time Stochastic Processes with Cyclical Long-Range Dependence
Australian
New Zealand Journal of Statistics, vol. 46, no. 2, pp. 275–296, 2004
Acta Applicandae Mathematicae, vol. 79, no. 1/2, pp. 115–128, 2003
Harmonic analysis of random fractional diffusion–wave equations
Applied Mathematics and Computation, vol. 141, no. 1, pp. 77–85, 2003
Journal of Statistical Physics, vol. 111, no. 3/4, pp. 789–814, 2003
Dynamic models of long-memory processes driven by Lévy noise
Journal of Applied Probability, vol. 39, no. 4, pp. 730–747, 2002
Probability Theory and Related Fields, vol. 124, no. 3, pp. 381–408, 2002
Statistical Inference for Stochastic Processes, vol. 4, no. 1, pp. 17–40, 2001
Fractals [Complex Geometry, Patterns, and Scaling in Nature and Society], vol. 9, no. 3, p. 329, 2001
Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence
Journal of Applied Mathematics and Stochastic Analysis, vol. 14, no. 1, pp. 27–46, 2001
Journal of Statistical Physics, vol. 104, no. 5/6, pp. 1349–1387, 2001
Journal of Statistical Physics, vol. 99, no. 3/4, pp. 769–781, 2000
On the exactness of normal approximation of LSE of regression coefficient of long-memory random fields
Statistics & Probability Letters, vol. 48, no. 2, pp. 121–130, 2000
Scaling laws for fractional diffusion-wave equations with singular data
Statistics & Probability Letters, vol. 48, no. 3, pp. 239–252, 2000
Non-Gaussian scenarios for the heat equation with singular initial conditions
Stochastic Processes and their Applications, vol. 84, no. 1, pp. 91–114, 1999
Gaussian and non-Gaussian limit distributions of estimates of the regression coefficients of a long-memory time series
Ukrainian Mathematical Journal, vol. 51, no. 7, pp. 1044–1054, 1999
Parameter identification for singular random fields arising in Burgers' turbulence
Journal of Statistical Planning and Inference, vol. 80, no. 1-2, pp. 1–13, 1999
Journal of Statistical Physics, vol. 91, no. 1/2, pp. 423–438, 1998
Exact parabolic asymptotics for singular ?-D Burgers' random fields: Gaussian approximation
Stochastic Processes and their Applications, vol. 76, no. 2, pp. 141–165, 1998
Acta Applicandae Mathematicae, vol. 47, no. 1, pp. 1–18, 1997
On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data
Journal of Statistical Physics, vol. 82, no. 3-4, pp. 915–930, 1996
Non-Gaussian limit distributions of solutions of the many-dimensional B?rgers equation with random initial data
Ukrainian Mathematical Journal, vol. 47, no. 3, pp. 385–392, 1995
Limit terms for sums of dependent random variables
Journal of Applied Mathematics and Stochastic Analysis, vol. 7, no. 1, pp. 91–91, 1994
Limiting distributions of the solutions of the many-dimensional B?rgers equation with random initial data. I
Ukrainian Mathematical Journal, vol. 46, no. 7, pp. 953–961, 1994
Limiting distributions of the solutions of the many-dimensional B?rgers equation with random initial data. II
Ukrainian Mathematical Journal, vol. 46, no. 8, pp. 1101–1109, 1994
On the limit distribution of the correlogram of a stationary Gaussian process with weak decrease in correlation
Ukrainian Mathematical Journal, vol. 45, no. 12, pp. 1841–1848, 1993
Estimators of regression parameters of random fields. II
Ukrainian Mathematical Journal, vol. 44, no. 5, pp. 573–576, 1992
Estimates of regression parameters of random fields. I
Ukrainian Mathematical Journal, vol. 44, no. 4, pp. 437–442, 1992
Works of M. I. Yadrenko in the theory of random fields
Ukrainian Mathematical Journal, vol. 44, no. 11, pp. 1343–1348, 1992
Tauberian and Abelian theorems for correlation function of a homogeneous isotropic random field
Ukrainian Mathematical Journal, vol. 43, no. 12, pp. 1539–1548, 1991
Limiting theorems for sojourn measures in domains of vector-valued Gaussian random fields
Ukrainian Mathematical Journal, vol. 42, no. 5, pp. 554–561, 1990
Sojourns of multidimensional Gaussian random fields with dependent components
Computers & Mathematics with Applications, vol. 19, no. 1, pp. 101–108, 1990
Central limit theorem for nonlinear transforms of gaussian random vector fields
Ukrainian Mathematical Journal, vol. 42, no. 8, pp. 942–947, 1990
Reduction conditions for functionals of geometric type from uniform isotropic random fields of a gamma-correlation. II
Ukrainian Mathematical Journal, vol. 41, no. 3, pp. 296–301, 1989
Reduction conditions for geometric-type functions of homogeneous isotropic random gamma-correlation fields. I
Ukrainian Mathematical Journal, vol. 41, no. 1, pp. 43–49, 1989
Sharpness of the normal approximation of functionals of strongly correlated Gaussian random fields
Mathematical Notes of the Academy of Sciences of the USSR, vol. 43, no. 2, pp. 161–171, 1988