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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN 1547-7363(online) ISSN 0094-9000(print)

 

Anatoly Yakovlevich Dorogovtsev (September 7, 1935-April 22, 2004)


Author:
Translated by: V. Zaiats
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 71 (2004).
Journal: Theor. Probability and Math. Statist. 71 (2005), 191-199
Published electronically: January 4, 2006
Full-text PDF Free Access

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  • 1. A. Ja. Dorogovcev, Statistical analysis of a difference stochastic equation, Selected Transl. Math. Statist. and Prob., Vol. 3, Amer. Math. Soc., Providence, R.I., 1962, pp. 315–319. MR 0154364 (27 #4313)
  • 2. A. Ja. Dorogovcev, Confidence intervals associated with the evaluation of parameters, Selected Transl. Math. Statist. and Prob., Vol. 3, Amer. Math. Soc., Providence, R.I., 1962, pp. 321–325. MR 0154363 (27 #4312)
  • 3. A. Ja. Dorogovcev, Remarks on random processes generated by certain differential equations, Dopovidi Akad. Nauk Ukraïn. RSR 1962 (1962), 850–853 (Ukrainian, with Russian and English summaries). MR 0143250 (26 #809)
  • 4. A. Ja. Dorogovcev, Some remarks on the extrapolation of processes generated by differential equations, Dopovidi Akad. Nauk Ukraïn. RSR 1962 (1962), 1006–1010 (Ukrainian, with Russian and English summaries). MR 0143005 (26 #572)
  • 5. A. Ja. Dorogovcev, Some remarks on differential equations perturbed by periodic random processes, Ukrain. Mat. Ž. 14 (1962), 119–128 (Russian, with English summary). MR 0141850 (25 #5247)
  • 6. A. Ja. Dorogovcev, Correlation functions of vector processes satisfying a certain differential equation, Ukrain. Mat. Z. 14 (1962), 322–325 (Russian). MR 0155351 (27 #5285)
  • 7. A. Ya. Dorogovtsev, Statistical Problems for a Class of Non-Stationary Random Processes, Candidate dissertation, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1962. (Russian)
  • 8. A. Ya. Dorogovtsev, Some remarks on the processes generated by some differential processes, Vestnik Kiev University, Ser. Mat. Mekh. 5 (1963), 124-146. (Russian)
  • 9. A. Ja. Dorogovcev, Problems of linear extrapolation for a class of vector processes, Ukrain. Mat. Ž. 16 (1964), 830–834 (Russian). MR 0172330 (30 #2549)
  • 10. I. I. Gihman and A. Ja. Dorogovcev, On the stability of solutions of stochastic differential equations., Ukrain. Mat. Z. 17 (1965), no. 6, 3–21 (Russian). MR 0281278 (43 #6996)
  • 11. A. Ja. Dorogovcev, Certain problems of optimal control of a regression experiment, Dopovīdī\ Akad. Nauk Ukraïn. RSR Ser. A 1968 (1968), 1067–1072 (Ukrainian, with Russian and English summaries). MR 0247659 (40 #922)
  • 12. A. Ja. Dorogovcev, An application of dynamic programming methods to the study of a certain problem of technical servicing, Teor. Verojatnost. i Mat. Statist. 1970 (1970), no. vyp. 1, 74–85 (Russian). MR 0280176 (43 #5897)
  • 13. A. Ja. Dorogovcev, The design of a regression experiment, Teor. Verojatnost. i Mat. Statist. Vyp. 3 (1970), 56–61 (Russian, with English summary). MR 0283928 (44 #1158)
  • 14. A. Ja. Dorogovcev, A certain non-parametric estimator of the regression function, Teor. Verojatnost. i Mat. Statist. Vyp. 4 (1971), 61–64 (Russian, with English summary). MR 0288918 (44 #6113)
  • 15. V. V. Breĭ, A. Ja. Dorogovcev, O. A. Makoveckiĭ, and L. V. Pogorelyĭ, The optimal choice of a rarefaction interval, Teor. Verojatnost. i Mat. Statist. 7 (1972), 14–22, 162 (Russian, with English summary). MR 0343356 (49 #8098)
  • 16. V. V. Breĭ, L. V. Pogorelyĭ, and A. Ja. Dorogovcev, Determination of the characteristics of a certain nonstationary process, Vyčisl. Prikl. Mat. (Kiev) 19 (1973), 137–142, 160 (Russian, with English summary). MR 0341584 (49 #6332)
  • 17. A. Ja. Dorogovcev and Ju. V. Kartašev, The estimation of the mean value of a stationary process when there is a given time of observation. I, Teor. Verojatnost. i Mat. Statist. Vyp. 8 (1973), 50–58, 175 (Russian, with English summary). MR 0426335 (54 #14279a)
  • 18. A. Ja. Dorogovcev, The estimation of an almost periodic signal from observation in a stationary noise, Questions of statistics and of the control of random processes (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 74–105 (Russian). MR 0433767 (55 #6739)
  • 19. A. Ja. Dorogovcev, Remarks on the properties of a certain least squares estimator, Dopovīdī\ Akad. Nauk Ukraïn. RSR Ser. A (1973), 585–590, 667 (Ukrainian, with English and Russian summaries). MR 0331679 (48 #10011)
  • 20. A. Ya. Dorogovtsev and K. P. Makarenko, On least squares estimates of parameters of a certain nonlinear system, Issled. Operatsi{\u{\i\/}}\kern.15emASU 2 (1973), 42-52. (Russian)
  • 21. A. Ja. Dorogovcev and Ju. V. Kartašev, The estimation of the mean value of a stationary process in the case of given duration of observation time. II, Teor. Verojatnost. i Mat. Statist. Vyp. 9 (1973), 73–81, 175 (Russian, with English summary). MR 0426336 (54 #14279b)
  • 22. A. Ja. Dorogovcev, The existence and convergence of the moments of the least square estimator in a nonlinear autoregression model, Dopovīdī\ Akad. Nauk Ukraïn. RSR Ser. A (1973), 1066–1071, 1149 (Ukrainian, with English and Russian summaries). MR 0331680 (48 #10012)
  • 23. A. Ja. Dorogovcev, Estimation of the probability of small values of sums of positive random variables, Teor. Verojatnost. i Mat. Statist. Vyp. 9 (1973), 66–72, 175 (Russian, with English summary). MR 0413231 (54 #1348)
  • 24. A. Ja. Dorogovcev, The asymptotic properties of least square estimators for regression coefficients, Problemy Peredači Informacii 9 (1973), no. 4, 49–57 (Russian). MR 0348949 (50 #1443)
  • 25. A. Ya. Dorogovtsev and Yu. V. Kartashev, On an estimate of the mean value of a stationary process for a given size of a sample, Theory Probab. Appl. XVIII (1973), no. 4, 871. (Russian)
  • 26. A. Ja. Dorogovcev, The estimation of an almost periodic signal from observation in a stationary noise, Questions of statistics and of the control of random processes (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 74–105 (Russian). MR 0433767 (55 #6739)
  • 27. A. Ja. Dorogovcev, Consistency of a certain estimate of the parameter of a stochastic differential equation, Teor. Verojatnost. i Mat. Statist. Vyp. 10 (1974), 72–81, 175 (Russian, with English summary). MR 0428646 (55 #1667)
  • 28. A. Ja. Dorogovcev and Ju. V. Kartašev, Least square estimations of the regression coefficient of a random process with prescribed observation time, Teor. Verojatnost. i Mat. Statist. Vyp. 10 (1974), 82–87, 175 (Russian, with English summary). MR 0423717 (54 #11692)
  • 29. A. Ja. Dorogovcev, Asymptotic properties of estimators of the parameters of a signal that is amplitude modulated by a random process, Dopovīdī\ Akad. Nauk Ukraïn. RSR Ser. A (1974), 680–684, 763 (Ukrainian, with English and Russian summaries). MR 0348950 (50 #1444)
  • 30. A. Ja. Dorogovcev, The estimation of the mean value of a stationary process in the case of restricted possibilities of observation, Dokl. Akad. Nauk SSSR 214 (1974), 261–263 (Russian). MR 0341784 (49 #6530)
  • 31. A. Ya. Dorogovtsev, Asymptotic properties of least squares estimates for a non-linear autoregressive model, Teoriya Sluchainyh Processov 2 (1974), 47-54. (Russian)
  • 32. A. Ja. Dorogovcev, Consistent estimation of a discrete signal on the basis of observation with random errors, Teor. Verojatnost. i Mat. Statist. 11 (1974), 26–34, 178 (Russian, with English summary). MR 0394996 (52 #15794)
  • 33. A. Ja. Dorogovcev, A certain property of the estimate of an almost periodic signal, Teor. Verojatnost. i Mat. Statist. Vyp. 11 (1974), 35–38, 178 (Russian, with English summary). MR 0405757 (53 #9549)
  • 34. A. Ja. Dorogovcev, The asymptotic behavior of estimates of the parameters of a certain nonlinear system, Kibernetika (Kiev) 4 (1974), 72–77 (Russian, with English summary). MR 0394995 (52 #15793)
  • 35. A. Ja. Dorogovcev, On an estimate of a periodic signal on the basis of observations with stationary noise, Vīsnik Kiïv. Unīv. Ser. Mat. Meh. 16 (1974), 10–25, 172 (Ukrainian, with English and Russian summaries). MR 0455240 (56 #13479)
  • 36. A. Ja. Dorogovcev, The consistency of a certain estimate of the regression function, Teor. Verojatnost. i Mat. Statist. Vyp. 12 (1975), 36–44, 171 (Russian, with English summary). MR 0397973 (53 #1828)
  • 37. A. Ja. Dorogovcev, Properties of parameter estimators in a certain linear regression model, Vīsnik Kiïv. Unīv. Ser. Mat. Meh. 17 (1975), 3–12, 176 (Ukrainian, with English and Russian summaries). MR 0433768 (55 #6740)
  • 38. A. Ja. Dorogovcev and T. A. Šermet′eva, The consistency of an estimate of a transition function, Theory of random processes, Questions of statistics and control (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev., 1974, pp. 30–39 (Russian). MR 0488576 (58 #8103)
  • 39. A. Ja. Dorogovcev, On the limit distribution of an estimate for a regression function, Teor. Verojatnost. i Mat. Statist. Vyp. 13 (1975), 38–46, 161 (Russian, with English summary). MR 0418326 (54 #6367)
  • 40. G. P. Grečka and A. Ja. Dorogovcev, The asymptotic properties of the periodogram estimate of the frequency and amplitude of a harmonic oscillation, Vyčisl. Prikl. Mat. (Kiev) Vyp. 28 (1976), 18–31, 150 (Russian, with English summary). MR 0451587 (56 #9869)
  • 41. A. Ja. Dorogovcev, On an assertion that is useful in proving the consistency of estimators, Teor. Verojatnost. i Mat. Statist. Vyp. 14 (1976), 34–41, 154 (Russian, with English summary). MR 0415835 (54 #3912)
  • 42. A. Ja. Dorogovcev, On the consistency of nonparametric estimators of a regression function, Teor. Verojatnost. i Mat. Statist. Vyp. 15 (1976), 47–53, 154. MR 0418327 (54 #6368)
  • 43. A. Ja. Dorogovcev, Remarks on the properties of a certain nonparametric maximum likelihood estimate, Mathematics collection (Russian), Izdat. “Naukova Dumka”, Kiev, 1976, pp. 262–268 (Russian). MR 0468076 (57 #7915)
  • 44. A. Ja. Dorogovcev, Properties of the nonparametric estimator of the translation coefficient of the simplest stochastic differential equation, Theory of random processes, No. 4 (Russian), Izdat. “Naukova Dumka”, Kiev, 1976, pp. 51–59, 117 (Russian). MR 0423665 (54 #11640)
  • 45. A. Ja. Dorogovcev and P. S. Knopov, On the properties of an estimator for the parameters of a nonstationary Gaussian regression of a random field, Teor. Verojatnost. i Mat. Statist. Vyp. 15 (1976), 54–67, 155 (Russian, with English summary). MR 0431564 (55 #4561)
  • 46. G. P. Grečka and A. Ja. Dorogovcev, The properties of periodogram estimation of frequency, Vīsnik Kiïv. Unīv. Ser. Mat. Meh. 18 (1976), 120–122, 145 (Ukrainian, with English and Russian summaries). MR 0494764 (58 #13574)
  • 47. A. Ja Dorogovcev and P. S. Knopov, The consistency of estimates of a function continuous in a domain that are based on observations at a finite set of points of its range of values with random errors, Dokl. Akad. Nauk Ukrain. SSR Ser. A 12 (1976), 1065–1069, 1140 (Russian, with English summary). MR 0433681 (55 #6653)
  • 48. A. Ja. Dorogovcev and P. S. Knopov, An estimate of a two-dimensional signal from observations with additive random noise, Teor. Verojatnost. i Mat. Statist. Vyp. 17 (1977), 61–79, 164 (Russian, with English summary). MR 0468077 (57 #7916)
  • 49. A. Ja. Dorogovcev and P. S. Knopov, Asymptotic properties of a nonparametric estimate of a function of two variables, Theory of random processes, No. 5 (Russian), Izdat. “Naukova Dumka”, Kiev, 1977, pp. 27–35, 112 (Russian). MR 0468016 (57 #7857)
  • 50. A. Ja. Dorogovcev, Properties of estimates of parameters of linear Gaussian regression in the discrete case, Vyčisl. Prikl. Mat. (Kiev) Vyp. 31 (1977), 136–147, 159 (Russian, with English summary). MR 0501671 (58 #18969)
  • 51. A. Ja. Dorogovcev, On the convergence of the extremum-points of convergent sequences of random functionals, Dokl. Akad. Nauk Ukrain. SSR Ser. A 7 (1977), 581–584, 669 (Russian, with English summary). MR 0494627 (58 #13457)
  • 52. A. Ya. Dorogovtsev, Studies in the Theory of Estimation of Parameters of Random Processes, Doctoral dissertation, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1977. (Russian)
  • 53. A. Ja. Dorogovcev and M. I. Judickiĭ, Models with random errors in variables. Estimation of parameters and design of experiments, Teor. Verojatnost. i Mat. Statist. 19 (1978), 51–57, 157 (Russian, with English summary). MR 0518967 (58 #24767)
  • 54. A. Ya. Dorogovtsev and P. S. Knopov, The weak convergence of a sequence of two-parameter martingales, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A 8 (1978), 675-679. (Russian) MR 0510436 (80c:60066
  • 55. A. Ya. Dorogovtsev, D. S. Silvestrov, A. V. Skorokhod, and M. I. Yadrenko, Probability theory: collection of problems, Translations of Mathematical Monographs, vol. 163, American Mathematical Society, Providence, RI, 1997. Translated from the 1976 Ukrainian original by O. I. Klesov and V. A. Kotov. MR 1444579 (98k:60001)
  • 56. A. Ya. Dorogovtsev, On a problem of determining an unbiased linear estimator with minimal variance, Teor. Veroyatnost. i Mat. Statist. 22 (1980), 52-57; English transl. in Theory Probab. Math. Statist. 22 (1981), 57-62.
  • 57. N. A. Germanov and A. Ja. Dorogovcev, Estimation of the parameters of an autoregressive process with nonidentically distributed disturbances, Dokl. Akad. Nauk Ukrain. SSR Ser. A 7 (1980), 14–16, 96 (Russian, with English summary). MR 582843 (82a:62140)
  • 58. A. Ja. Dorogovcev and A. A. Kurčenko, Application of a problem of minimization in a Hilbert space to a determination of the best linear estimations, Teor. Veroyatnost. i Mat. Statist. 23 (1980), 47–51, 148 (Russian, with English summary). MR 614575 (82m:62144)
  • 59. A. Ya. Dorogovtsev and A. A. Kurčenko, The best linear estimate of trend parameters in the presence of errors of white noise type, Teor. Veroyatnost. i Mat. Statist. 24 (1981), 27–34, 151 (Russian, with English summary). MR 628425 (83f:62135)
  • 60. A. Ya. Dorogovtsev, A. A. Kurčenko, and A. G. Kukush, A new case for the existence of linear unbiased estimates, Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Nauk 3 (1981), 23–29, 97 (Russian). MR 628914 (83a:62182)
  • 61. A. Ya. Dorogovtsev, Teoriya otsenok parametrov sluchainykh protsessov, “Vishcha Shkola”, Kiev, 1982 (Russian). MR 668517 (84h:62122)
  • 62. A. Ya. Dorogovtsev, Stability of bounded and stationary solutions of equations with an operator coefficient subject to perturbations, Mathematics today ’97, No. 11 (Russian), Nauchn. Izdat. “TViMS”, Kiev, 1997, pp. 43–52 (Russian). MR 1632323 (99h:47016)
  • 63. A. Ya. Dorogovtsev, Estimation of the mean value parameter in a Hilbert space, Theory of random processes, No. 11, “Naukova Dumka”, Kiev, 1983, pp. 28–31 (Russian). MR 711232 (85b:62024)
  • 64. A. Ya. Dorogovtsev and Yu. G. Kondrat′ev, Some problems of infinite-dimensional analysis and their application, Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. 25 (1983), 55–70 (Ukrainian, with Russian summary). MR 746765 (87a:46072)
  • 65. A. Ya. Dorogovtsev and A. G. Kukush, Optimal choice of the observation mode in a problem of estimation of the mean, Teor. Veroyatnost. i Mat. Statist. 30 (1984), 38–45, 150 (Russian). MR 800828 (87d:62163)
  • 66. A. Ya. Dorogovtsev, Convergence of certain integrals with respect to a Gaussian measure in a Hilbert space, Dokl. Akad. Nauk Ukrain. SSR Ser. A 5 (1985), 7–8 (Russian, with English summary). MR 796167 (86j:60009)
  • 67. A. Ya. Dorogovtsev, S. D. Īvasishen, and A. G. Kukush, Asymptotic behavior of solutions of the heat equation with white noise in the right-hand side, Ukrain. Mat. Zh. 37 (1985), no. 1, 13–20, 133 (Russian). MR 780908 (86m:35016)
  • 68. A. Ya. Dorogovtsev, The asymptotic behavior of solutions of the Cauchy problem for an abstract stochastic differential equation, Uspekhi Mat. Nauk 41 (1986), no. 4, 159-160. (Russian)
  • 69. A. Ya. Dorogovtsev, N. Zerek, and A. G. Kukush, Asymptotic properties of estimates of nonlinear regression in Hilbert space, Teor. Veroyatnost. i Mat. Statist. 35 (1986), 36–43, 122 (Russian). MR 885663 (88d:62058)
  • 70. A. Ya. Dorogovtsev, Mathematical Analysis, A collection of problems, ``Vyshcha Shkola'', Kiev, 1987. (Russian)
  • 71. A. Ya. Dorogovtsev, N. Zerek, and A. G. Kukush, Weak convergence to the normal distribution of an estimator for an infinite-dimensional parameter, Teor. Veroyatnost. i Mat. Statist. 37 (1987), 39–46, 135 (Russian). MR 913908 (89h:62095)
  • 72. N. A. Denis′evskiĭ and A. Ya. Dorogovtsev, On the law of large numbers for a linear process in a Banach space, Dokl. Akad. Nauk SSSR 295 (1987), no. 2, 276–279 (Russian); English transl., Soviet Math. Dokl. 36 (1988), no. 1, 47–50. MR 902681 (88j:60023)
  • 73. A. Ya. Dorogovtsev, The existence of periodic solutions of an abstract stochastic equation. The asymptotic periodicity of solutions of the Cauchy problem, Uspekhi Mat. Nauk 42 (1987), no. 4, 160. (Russian)
  • 74. A. Ya. Dorogovtsev, S. D. Īvasishen, and A. G. Kukush, On the asymptotic behaviour of the linear stochastic heat equation solutions, Probability theory and mathematical statistics, Vol.\ I (Vilnius, 1985), VNU Sci. Press, Utrecht, 1987, pp. 419–431. MR 901501 (89g:60192)
  • 75. A. Ya. Dorogovtsev and A. G. Kukush, Asymptotic behavior of the solution of the Cauchy problem for a stochastic equation of parabolic type, Ukrain. Mat. Zh. 40 (1988), no. 2, 162–169, 270 (Russian); English transl., Ukrainian Math. J. 40 (1988), no. 2, 136–142. MR 941500 (89e:60117), http://dx.doi.org/10.1007/BF01056468
  • 76. A. Ya. Dorogovtsev and A. G. Kukush, On the limiting distribution of extremum points for certain stochastic optimization models, Stochastic optimization (Kiev, 1984) Lecture Notes in Control and Inform. Sci., vol. 81, Springer, Berlin, 1986, pp. 17–21. MR 890965 (88g:93116), http://dx.doi.org/10.1007/BFb0007078
  • 77. A. Ya. Dorogovtsev, Asymptotic behavior of the solutions of the Cauchy problem for an abstract stochastic differential equation, Teor. Veroyatnost. i Mat. Statist. 38 (1988), 31–34, 134 (Russian); English transl., Theory Probab. Math. Statist. 38 (1989), 31–34. MR 947518 (89g:60183)
  • 78. A. Ya. Dorogovtsev, Existence of periodic solutions of an abstractly stochastic equation. Asymptotic periodicity of the solutions of the Cauchy problem, Teor. Veroyatnost. i Mat. Statist. 39 (1988), 47–52, 126 (Russian); English transl., Theory Probab. Math. Statist. 39 (1989), 55–60. MR 947930 (89e:60119)
  • 79. A. Ya. Dorogovtsev and Le Vin′ Tkhuan, The existence of periodic and stationary regimes of discrete dynamical systems in a Banach space, Kibernetika (Kiev) 6 (1988), 121–123, 136 (Russian, with English summary). MR 986181 (90f:60114)
  • 80. J. Neyman, On a statistical problem arising in routine analyses and in sampling inspections of mass production, Ann. Math. Statistics 12 (1941), 46–76. MR 0004452 (3,9f)
  • 81. A. Ya. Dorogovtsev and Le Vin'Tkhuan, Correlation functions of Gaussian Markov stationary and periodic processes in a Hilbert space, Selected Problems in the Current Theory of Random Processes, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1988, pp. 61-65. (Russian)
  • 82. M. F. Gorodniĭ and A. Ya. Dorogovtsev, Stationary solutions of a two-dimensional stochastic difference equation in a Banach space, Stochastic analysis and its applications (Russian), Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1989, pp. 25–33, ii (Russian). MR 1064769 (91i:60167)
  • 83. A. Ya. Dorogovtsev, Elementy obshchei teorii mery i integrala, “Vyshcha Shkola”, Kiev, 1989 (Russian). MR 995843 (90f:28001)
  • 84. A. Ya. Dorogovtsev, Periodic solutions of evolution differential equations that are perturbed by stochastic processes, Ukrain. Mat. Zh. 41 (1989), no. 12, 1642–1648, 1727 (Russian); English transl., Ukrainian Math. J. 41 (1989), no. 12, 1412–1419 (1990). MR 1042961 (91i:34068), http://dx.doi.org/10.1007/BF01056109
  • 85. A. Ya. Dorogovtsev, Necessary and sufficient conditions for existence of stationary and periodic solutions of a stochastic difference equation in Hilbert space, Comput. Math. Appl. 19 (1990), no. 1, 31–37. MR 1026779 (91d:60149), http://dx.doi.org/10.1016/0898-1221(90)90079-Y
  • 86. A. Ya. Dorogovtsev, Stationary and periodic solutions of a stochastic difference equation in a Banach space, Teor. Veroyatnost. i Mat. Statist. 42 (1990), 35–42 (Russian); English transl., Theory Probab. Math. Statist. 42 (1991), 39–46. MR 1069311 (92f:60113)
  • 87. A. Ya. Dorogovtsev, Stochastically periodic solutions of differential equations with operator coefficients, Ukrain. Mat. Zh. 43 (1991), no. 4, 489–496 (Russian, with Ukrainian summary); English transl., Ukrainian Math. J. 43 (1991), no. 4, 451–457. MR 1117890 (92i:60123)
  • 88. A. Ya. Dorogovtsev, Consistency of the least squares estimator of an infinite-dimensional parameter, Sibirsk. Mat. Zh. 33 (1992), no. 4, 65–69, 221 (Russian, with Russian summary); English transl., Siberian Math. J. 33 (1992), no. 4, 603–607 (1993). MR 1185436 (93h:62119), http://dx.doi.org/10.1007/BF00971125
  • 89. A. Ya. Dorogovtsev, Periodicheskie i statsionarnye rezhimy beskonechnomernykh determinirovannykh i stokhasticheskikh dinamicheskikh sistem, “Vishcha Shkola”, Kiev, 1992 (Russian, with Russian and Ukrainian summaries). MR 1206004 (94c:60097)
  • 90. A. Ya. Dorogovtsev, Bounded and periodic solutions of some difference and differential equations, Uspekhi Mat. Nauk 46 (1991), no. 6, 149-150. (Russian)
  • 91. A. Ya. Dorogovtsev, Mathematical Analysis, vol. I, ``Lybid'', Kyiv, 1993; vol. II, 1994. (Russian)
  • 92. A. Ya. Dorogovtsev, On asymptotic normality of the least square estimators of an infinite-dimensional parameter, Ukrainian Math. J. 45 (1993), no. 1, 48–58. MR 1426569 (99c:62058)
  • 93. A. Ya. Dorogovtsev, Periodic and bounded solutions of the Riccati operator equation, Ukraïn. Mat. Zh. 45 (1993), no. 2, 239–242 (Russian, with Russian and Ukrainian summaries); English transl., Ukrainian Math. J. 45 (1993), no. 2, 255–259. MR 1232407 (95a:34092), http://dx.doi.org/10.1007/BF01060981
  • 94. A. Ya. Dorogovtsev, Stationary and periodic solutions of the Riccati operator equation with random perturbation, Ukraïn. Mat. Zh. 45 (1993), no. 5, 609–615 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J. 45 (1993), no. 5, 662–670 (1994). MR 1247681 (94k:34107), http://dx.doi.org/10.1007/BF01058204
  • 95. A. Ya. Dorogovtsev and M. F. Gorodni{\u{\i\/}}\kern.15em, Bounded solutions of the operator Volterra chain, Uspekhi Mat. Nauk 49 (1994), no. 4, 85.
  • 96. A. Ya. Dorogovtsev, Stationary and periodic solutions of linear differential operator equations, Proceedings of the Second Ukrainian-Hungarian Conference on ``New Trends in Probability Theory and Mathematical Statistics'', September 25-October 2, 1992, Mukachevo, Ukraine, TViMS, Kiev, 1994, pp. 50-54.
  • 97. A. Ya. Dorogovtsev and T. A. Petrova, Bound and periodic solutions of the Riccati equation in Banach space, J. Appl. Math. Stochastic Anal. 8 (1995), no. 2, 195–200. MR 1330123 (96c:34129), http://dx.doi.org/10.1155/S1048953395000189
  • 98. M. F. Gorodniĭ and A. Ya. Dorogovtsev, Bounded solutions of a class of nonlinear operator difference equations, Ukraïn. Mat. Zh. 47 (1995), no. 7, 890–896 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J. 47 (1995), no. 7, 1022–1029 (1996). MR 1367944 (96j:39016), http://dx.doi.org/10.1007/BF01084898
  • 99. A. Ya. Dorogovtsev, Stability of periodic solutions of operator equations with perturbation coefficients, Exploring stochastic laws, VSP, Utrecht, 1995, pp. 111–119. MR 1713997 (2001g:60163)
  • 100. A. Ya. Dorogovtsev, Stationary and periodic solutions of a certain class of nonlinear equations in a Banach space, Theory Stoch. Process. 1(17) (1995), no. 1, 17-25.
  • 101. A. Ya. Dorogovtsev and T. A. Petrova, Bounded and periodic solutions of a Riccati-type equation in a Banach space, Dopov. Nats. Akad. Nauk Ukraïni 9 (1995), 8–9 (Russian, with English summary). MR 1374671 (96j:34108)
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  • 104. A. Ya. Dorogovtsev, Asymptotic properties of an estimator of the compensator of a nonhomogeneous Poisson process, Proceedings of the International Mathematical Conference dedicated to the memory of Hans Hahn, October 1994, Chernivtsi, ``Ruta'', Chernivtsi, 1995, pp. 72-77. (Russian)
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  • 110. A. Ya. Dorogovtsev, Solutions, periodic in distribution, of the boundary value problem for the heat equation, Uspekhi Mat. Nauk 53 (1998), no. 4, 176-177. (Russian)
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  • 118. A. Ya. Dorogovtsev, Stationary solutions to boundary problem for the heat equations, Hiroshima Math. J. 30 (2000), no. 2, 191–203. MR 1777511 (2001i:35310)
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  • 120. A. Ya. Dorogovtsev, Solutions, periodic in distribution, of a boundary value problem for the heat equation, Fundam. Prikl. Mat. 7 (2001), no. 3, 699–712 (Russian, with English and Russian summaries). MR 1879292 (2002j:35329)
  • 121. A. Ya. Dorogovtsev, Solutions, periodic in distribution, of a boundary value problem for a telegraph equation, Differ. Uravn. 37 (2001), no. 3, 391–396, 431 (Russian, with Russian summary); English transl., Differ. Equ. 37 (2001), no. 3, 418–424. MR 1846535 (2002c:35024), http://dx.doi.org/10.1023/A:1019202801360
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Additional Information

DOI: http://dx.doi.org/10.1090/S0094-9000-06-00658-2
PII: S 0094-9000(06)00658-2
Published electronically: January 4, 2006
Article copyright: © Copyright 2006 American Mathematical Society