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G.P. Chistyakov and F. Götze.
Limit theorems in free probability theory. {II},
Cent. Eur. J. Math.,
6 (1):87--117, 2008.
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G. P. Chistyakov and F. Götze.
Limit theorems in free probability theory. {I},
Ann. Probab.,
36 (1): 54--90, 2008.
- G. P. Chistyakov and F. Götze. Independence of linear forms with random coefficients. Probab. Theory Related Fields, 137(1-2):1-24, 2007.
- G. P. Chistyakov and F. Götze. Distribution of the shape of Markovian random words. Probab. Theory Related Fields, 129(1):18-36, 2004.
- G. P. Chistyakov and F. Götze. Limit distributions of Studentized means. Ann. Probab., 32(1A):28-77, 2004.
- G. P. Chistyakov and F. Götze. On bounds for moderate deviations for Student's statistic. Teor. Veroyatnost. i Primenen., 48(3):609-615, 2003.
- G. P. Chistyakov and F. Götze. Moderate deviations for Student's statistic. Teor. Veroyatnost. i Primenen., 47(3):518-532, 2002.
- G. P. Chistyakov. A new asymptotic expansion and asymptotically best constants in Lyapunov's theorem. III. Teor. Veroyatnost. i Primenen., 47(3):475-497, 2002.
- G. P. Chistyakov. A new asymptotic expansion and asymptotically best constants in Lyapunov's theorem. II. Teor. Veroyatnost. i Primenen., 46(3):573-579, 2001.
- G. P. Chistyakov. A new asymptotic expansion and asymptotically best constants in Lyapunov's theorem. I. Teor. Veroyatnost. i Primenen., 46(2):326-344, 2001.
- G. Chistyakov, Yu. Lyubarskii, and L. Pastur. On completeness of random exponentials in the Bargmann-Fock space. J. Math. Phys., 42(8):3754-3768, 2001.
- A. I. Ilinski\i and G. P. Chistyakov. On the characterization of probability distributions by the absolute moments of partial sums. Teor. Veroyatnost. i Primenen., 42(3):473-481, 1997.
- G. Chistyakov and Yu. Lyubarskii. Random perturbations of exponential Riesz bases in L 2(-π,π). Ann. Inst. Fourier (Grenoble), 47(1):201-255, 1997.
- G. P. Chistyakov. Asymptotically proper constants in Lyapunov's theorem. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 228(Veroyatn. i Stat. 1):349-355, 363-364, 1996.
- G. P. Chistyakov and S. Yu. Pergamentsev. Some extensions of the Darmois-Skitovich and Kagan theorems to classes of the generalized random variables. Mat. Fiz. Anal. Geom., 2(3-4):463-488, 1995.
- G. P. Chistyakov. Order-sharp estimates for the stability of decompositions of distributions from Yu.V. Linnik's class L. Teor. Veroyatnost. i Primenen., 39(2):438-446, 1994.
- L. B. Golinski\i and G. P. Chistyakov. Estimates, sharp in the sense of order, for the stability of decompositions of the normal distribution in the λ-metric. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (58):45-53 (1993), 1992.
- L. B. Golinski\i and G. P. Chistyakov. On stability estimates in the Marcinkiewicz theorem and its generalization. In Entire and subharmonic functions, volume 11 of Adv. Soviet Math., pages 243-250. Amer. Math. Soc., Providence, RI, 1992.
- L. B. Golinski\i and G. P. Chistyakov. Order-sharp estimates for the stability of decompositions of the normal distribution in the Lévy metric. In Stability problems for stochastic models (Russian) (Moscow, 1991), pages 16-40. Vsesoyuz. Nauchno-Issled. Inst. Sistem. Issled., Moscow, 1991. Translated in J. Math. Sci. 72 (1994), no. 1, 2848-2871.
- G. P. Chistyakov. Estimates for the closeness of n-fold convolutions of distributions and infinitely divisible distribution laws, and the moment problem. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (56):64-88, 1991.
- G. P. Chistyakov. Approach of n-fold convolutions of distributions to infinitely divisible distributions. Dokl. Akad. Nauk SSSR, 316(6):1330-1333, 1991.
- G. P. Chistyakov. On a theorem of I. V. Ostrovski\iand R. Cuppens. In Analytic methods in probability theory and operator theory (Russian), pages 3-14. “Naukova Dumka”, Kiev, 1990.
- G. P. Chistyakov. On a problem of A. N. Kolmogorov. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 184(Issled. po Mat. Statist. 9):289-319, 326-327, 1990.
- G. P. Chistyakov. On the factorization of lattice distribution laws. In Statistics and control of random processes (Russian) (Preila, 1987), pages 213-229. “Nauka”, Moscow, 1989.
- I. P. Trukhina and G. P. Chistyakov. Stability of decomposition in semigroups of functions representable by series in the Jacobi polynomials. In Stability problems for stochastic models (Sukhumi, 1987), volume 1412 of Lecture Notes in Math., pages 328-348. Springer, Berlin, 1989.
- G. P. Chistyakov. Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class L. J. Soviet Math., 47(5):2799-2809, 1989. Stability problems for stochastic models.
- G. P. Chistyakov. On necessary conditions for distribution laws to belong to the class I0. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (51):18-31, 1989.
- G. P. Chistyakov. Estimates for the stability of decompositions of infinitely divisible distribution functions with Gaussian component belonging to Yu.V. Linnik's class G. II. In Stability problems for stochastic models (Russian) (Sukhumi, 1987), pages 142-161. Vsesoyuz. Nauchno-Issled. Inst. Sistem. Issled., Moscow, 1988. Translated in J. Soviet Math.57 (1991), no.4, 3330-3349.
- G. P. Chistyakov. Stability for a theorem of I. V. Ostrovski\iand R. Cuppens on groups. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (50):103-108, iv, 1988.
- G. P. Chistyakov. On the problem of α-decompositions of the normal distribution. Teor. Veroyatnost. i Primenen., 33(1):163-166, 1988.
- G. P. Chistyakov. A remark on a theorem of N. A. Sapogov on the stability of decompositions of a normal distribution. In Operators in function spaces and problems in function theory (Russian), pages 108-116, 147. “Naukova Dumka”, Kiev, 1987.
- G. P. Chistyakov. Factorization of the probability distributions of Yu.V. Linnik's class L. II. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (48):3-26, 1987.
- G. P. Chistyakov. Factorization of the probability distributions of Yu.V. Linnik's class L. I. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (47):3-25, 1987.
- G. P. Chistyakov. Stability of the decompositions of lattice infinitely divisible distribution functions of Yu.V. Linnik's class L. In Stability problems for stochastic models (Russian) (Varna, 1985), pages 84-107. Vsesoyuz. Nauchno-Issled. Inst. Sistem. Issled., Moscow, 1986. Translated in J. Soviet Math.47 (1989), no.1, 2346-2365.
- G. P. Chistyakov. Stability of decompositions of laws of distributions. Teor. Veroyatnost. i Primenen., 31(3):433-450, 1986.
- G. P. Cistjakov. Estimations of the stability of decompositions for the compositions of the Gauss and Poisson distributions. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 87:164-186, 210, 215, 1979. Studies in mathematical statistics, 3.
- A. E. Fryntov and G. P. Cistjakov. Infinitely divisible distributions of class I0. Teor. Funktsi\iFunktsional. Anal. i Prilozhen., (32):91-97, 5, 1979.
- G. P. Cistjakov. α-expansions of characteristic functions which are limiting values of analytic functions. Mat. Sb. (N.S.), 107(149)(2):275-288, 318, 1978.
- A. E. Fryntov and G. P. Cistjakov. Membership in the class I0 of lattice probability distributions. Izv. Akad. Nauk SSSR Ser. Mat., 41(2):462-475, 480, 1977.
- G. P. Cistjakov. The sharpness of the estimates in theorems on the stability of decompositions of a normal distribution and a Poisson distribution. Teor. Funkci\iFunkcional. Anal. i Prilozen., (Vyp. 26):119-128, iii, 1976.
- G. P. Cistjakov. Decomposition of the normal law into a composition of functions of bounded variation. Mat. Zametki, 19(1):133-147, 1976.
- G. P. Cistjakov. A certain problem of Dugué. Dokl. Akad. Nauk SSSR, 224(4):775-778, 1975.
- L. Z. Lvšic, I. V. Ostrovski\i, and G. P. Cistjakov. The arithmetic of probability laws. In Probability theory, Mathematical statistics, Theoretical cybernetics, Vol. 12 (Russian), pages 5-42. Akad. Nauk SSSR Vsesojuz. Inst. Naucn. i Tehn. Informacii, Moscow, 1975.
- G. P. Cistjakov. The stability of expansions of a certain class of infinitely divisible laws. In Mathematical physics and functional analysis, No. V (Russian), pages 27-50, 156-157. Akad. Nauk Ukrain. SSR Fiz.-Tehn. Inst. Nizkih Temperatur, Kharkov, 1974.
- G. P. Cistjakov. The membership in the class I0 of laws with nonanalytic characteristic functions. Dokl. Akad. Nauk SSSR, 201:280-283, 1971.
- G. P. Cistjakov. Stability for a theorem of Ju. V. Linnik in the metric of P. Lévy. Teor. Funkci\iFunkcional. Anal. i Prilozen., (11):93-97, 1970.
- G. P. Cistjakov. A generalization of the theorems of H. Cramér and of Ju. V. Linnik and V. P. Skitovic. Teor. Verojatnost. i Primenen, 15:345-350, 1970.
- G. P. Cistjakov. Stability for the theorem of Ju. V. Linnik. Teor. Funkci\iFunkcional. Anal. i Prilozen. Vyp., 9:118-133, 1969.