Theory of Probability and Mathematical Statistics

1.: A. Ya. Dorogovtsev, D. S. Sil'vestrov, A. V. Skorokhod, and M. I. Yadrenko, Probability Theory: Collection of Problems, ``Vyshcha shkola'', Kyïv, 1976; English transl., Translations of Mathematical Monographs, vol. 163, American Mathematical Society, Providence, RI, 1997. MR 1444579 (98k:60001)
2.: I. I. Gikhman, A. V. Skorokhod, and M. I. Yadrenko, Probability Theory and Mathematical Statistics, ``Vyshcha shkola'', Kiev, 1979. (Russian)
3.: Spectral Theory of Random Fields, ``Vyshcha shkola'', Kiev, 1980; English transl., Optimization Software, New York, 1983. MR 697386 (84f:60003)
4.: M. M. Leonenko, Yu. S. Mishura, V. M. Parkhomenko, and M. I. Yadrenko, Probabilistic and Statistical Methods in Econometrics and Financial Mathematics, ``Informtekhnika'', Kyïv, 1996. (Ukrainian)
5.: Discrete Mathematics, TViMS, Kyïv, 2004. (Ukrainian)
6.: Some problems in the theory of random walks, Scientific papers of students of Kiev State University, Ser. Mathematics 16 (1955), 199-210. (Russian)
7.: Isotropic random fields of the Markov type on a sphere, Scientific Annuary of Kiev State University (1957), 328. (Ukrainian)
8.: Isotropic random fields of the Markov type on a Euclidean space, Scientific Annuary of Kiev State University (1957), 329. (Ukrainian)
9.: On some problems of linear prediction for homogeneous random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. 2 (1958), no. 1, 113-123. (Ukrainian)
10.: Isotropic random fields of the Markov type on a sphere, Dopovidi Akad. Nauk Ukraïn. RSR (1959), no. 3, 231-235. (Ukrainian)
11.: Isotropic random fields of the Markov type in Euclidean spaces, Proc. All-Union Conf. Theory Prob. and Math. Statist. (Erevan, 1958), Izdat. Akad. Nauk Armyan. SSR, Erevan, 1960, pp. 263-279. (Russian)
12.: On a class of isotropic random vector fields, Ukraïn. Mat. Zh. 12 (1960), no. 2, 223-225. (Russian) MR 0170391 (30:629)
13.: On a class of isotropic random fields in the space, Dopovidi Akad. Nauk Ukraïn. RSR (1962), no. 1, 15-18. (Ukrainian)
14.: On a class of isotropic random fields in an infinite-dimensional Lobachevsky space, Dopovidi Akad. Nauk Ukraïn. RSR (1962), no. 3, 327-329. (Ukrainian)
15.: Isotropic random fields of the Markov type in an Euclidean space, Dopovidi Akad. Nauk Ukraïn. RSR (1963), no. 3, 304-306. (Ukrainian) MR 0164376 (29:1673)
16.: An optimal periodic control of a device, Avtomat. i Vychisl. Tekhn. (1967), no. 3, 57-61. (Russian)
17.: Some life span distributions with random failure rate, Avtomat. i Vychisl. Tekhn. (1967), no. 4, 48-52. (Russian)
18.: Local properties of sample functions of random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. (1967), no. 9, 103-112. (Ukrainian) MR 0233410 (38:1732)
19.: The continuity of random fields in a Hilbert space, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1968), no. 8, 734-736. (Ukrainian)
20.: On spectral decomposition of isotropic random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1968), no. 10, 835-837. (Ukrainian) English transl., Selected Transl. Math. Statist. and Probability, vol. 10, American Mathematical Society, Providence, RI, 1972.
21.: Spherical means of isotropic random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1968), no. 12, 1105-1107. (Ukrainian) MR 0253408 (40:6623)
22.: Yu. D. Popov and M. I. Yadrenko, Certain questions of the spectral theory of homogeneous and isotropic random fields, Teor. Veroyatnost. i Primenen. 14 (1969), no. 3, 531-540; English transl. in Theory Probab. Appl. 14 (1969), 510-517. MR 0278374 (43:4104)
23.: Analytic random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. (1969), no. 11, 111-123. (Ukrainian) MR 0253398 (40:6613)
24.: A certain problem of linear extrapolation for an isotropic random field, Teor. Veroyatnost. i Mat. Statist. 1 (1970), 240-248; English transl. in Theory Probab. Math. Statist. 1 (1971), 239-247. MR 0275509 (43:1263)
25.: Ergodic theorems for isotropic random fields, Teor. Veroyatnost. i Mat. Statist. 1 (1970), 249-251; English transl. in Theory Probab. Math. Statist. 1 (1971), 249-252. MR 0281251 (43:6970)
26.: On a linear extrapolation problem for a homogeneous and isotropic random field in the Lobachevsky plane, Teor. Veroyatnost. i Mat. Statist. 2 (1970), 263-269; English transl. in Theory Probab. Math. Statist. 2 (1971), 268-274. MR 0279880 (43:5601)
27.: On an interpolation problem for a homogeneous and isotropic random field, Teor. Veroyatnost. i Mat. Statist. 4 (1971), 212-220; English transl. in Theory Probab. Math. Statist. 4 (1971), 199-206. MR 0322946 (48:1306)
28.: Certain models of random fluctuations, Vychisl. Prikl. Mat. (Kiev) 14 (1971), 36-47. (Russian) MR 0311054 (46:10152)
29.: Isotropic random fields of Markov type, Teor. Veroyatnost. i Mat. Statist. 5 (1971), 128-137; English transl. in Theory Probab. Math. Statist. 5 (1972), 136-146. MR 0288828 (44:6023)
30.: V. N. Nagornii and M. I. Yadrenko, Polynomial interpolation of random processes, Visnik Kyïv. Univ., Ser. Mat. Mekh. (1971), 10-12. (Ukrainian) MR 0307431 (46:6551)
31.: Isotropic random fields on sphere in a Hilbert space, Teor. Veroyatnost. i Mat. Statist. 6 (1972), 142-146; English transl. in Theory Probab. Math. Statist. 6 (1973), 145-149. MR 0307321 (46:6441)
32.: Quasianalytic random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. (1972), no. 14, 56-61. (Ukrainian)
33.: The absolute continuity of measures corresponding to homogeneous Gaussian random fields, Teor. Veroyatnost. i Mat. Statist. 7 (1972), 152-161; English transl. in Theory Probab. Math. Statist. 7 (1972), 143-152. MR 0433581 (55:6554)
34.: On some interpolation problems for random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1972), no. 4, 346-347. (Ukrainian)
35.: V. N. Nagornyi, L. V. Pogorelyi, and M. I. Yadrenko, Statistical simulation of sample paths of certain classes of random processes, Vychisl. Prikl. Mat. (Kiev) 17 (1972), 39-50. (Russian)
36.: L. V. Pogorelyi and M. I. Yadrenko, Certain models of random processes that describe the operation of moving assemblages, Vychisl. Prikl. Mat. (Kiev) 18 (1972) 102-107. (Russian) MR 0322968 (48:1326)
37.: On optimal linear estimates of expectation and regression coefficients of homogeneous and isotropic random fields, Problemy Upravleniya i Teorii Informatsii 1 (1972), no. 3-4, 17-26; English transl. in Problems of Control and Information Theory (English translation of Communications in Russian) 2 (1973), no. 1, 1-9. MR 0331686 (48:10018)
38.: A. V. Skorokhod and M. I. Yadrenko, On absolute continuity of measures corresponding to homogeneous Gaussian fields, Teor. Veroyatn. Primen. 18 (1973), 30-43; English transl. in Theory Probab. Appl. 18 (1973), 27-40. MR 0312563 (47:1120)
39.: Optimal linear estimates of the regression coefficients of isotropic random fields, Problemy Peredachi Informatsii 9 (1973), no. 3, 68-79. (Russian) MR 0326954 (48:5296)
40.: Statistical problems for homogeneous and isotropic random fields observed on a sphere, Second International Symposium on Information Theory. Held at Tsakhkadzor, Armenia, September 2-8, 1971 (N. Petrov and F. Csáki, eds.), A complementary volume to Problems of Control and Information Theory/Problemy Upravleniya i Teorii Informatsii, Akadémiai Kiadó, Budapest, 1973, pp. 355-363. (Russian)
41.: S. B. Khatset and M. I. Yadrenko, Certain statistical problems for isotropic random fields on a sphere, Questions of Statistics and of the Control of Random Processes, Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 242-250. (Russian) MR 0426125 (54:14071)
42.: The orthogonality of measures that correspond to homogeneous Gaussian random fields, Theory of Random Processes (Russian) 2 (1974), 131-135. (Russian) MR 0433582 (55:6555)
43.: A problem of the discrimination of hypotheses for isotropic random fields, Kibernetika (Kiev) 5 (1974), 68-72. (Russian) MR 0418214 (54:6255)
44.: V. I. Rudomanov, V. F. Sinyavskii, and M. I. Yadrenko, The simulation of realizations of homogeneous random processes, Vychisl. Prikl. Mat. (Kiev) 24 (1974), 33-40, 158. (Russian)
45.: Linear and quadratic functionals of homogeneous and isotropic Gaussian random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1974), no. 10, 884-886. (Ukrainian) MR 0358953 (50:11410)
46.: A. Ponomarenko and M. Yadrenko, All-Union symposium on statistics of random processes, Uspekhi Matem. Nauk XXIX (1974), no. 4, 211-216. (Russian)
47.: M. G. Al'-Madani and M. I. Yadrenko, Spectral decompositions of homogeneous and isotropic vector random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1975), no. 2, 99-101. (Ukrainian) MR 0394827 (52:15626)
48.: A central limit theorem for homogeneous and isotropic random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A 4 (1975), 314-316, 380. (Ukrainian) MR 0378046 (51:14215)
49.: On integral equations in the statistics of homogeneous and isotropic random fields. I, Teor. Veroyatnost. i Mat. Statist. 12 (1975) 159-169; English transl. in Theory Probab. Math. Statist. 12 (1976), 169-179.
50.: M. G. Al'-Madani and M. I. Yadrenko, On a filtering problem for homogeneous and isotropic random fields, Teor. Veroyatnost. i Mat. Statist. 13 (1975), 13-20; English transl. in Theory Probab. Math. Statist. 13 (1976), 12-18. MR 0426135 (54:14081)
51.: Yu. V. Kozachenko and M. I. Yadrenko, Local properties of sample functions of random fields. I, Teor. Veroyatnost. i Mat. Statist. 14 (1976), 53-66; English transl. in Theory Probab. Math. Statist. 14 (1977), 55-69. MR 0418211 (54:6252)
52.: Yu. V. Kozachenko and M. I. Yadrenko, Local properties of sample functions of random fields. II, Teor. Veroyatnost. i Mat. Statist. 15 (1976), 82-98; English transl. in Theory Probab. Math. Statist. 15 (1977), 83-99. MR 0418212 (54:6253)
53.: B. I. Datsenko, A. A. Kurchenko, and M. I. Yadrenko, A problem of nonlinear filtering of a random process. I, Vychisl. Prikl. Mat. (Kiev) 28 (1976), 100-107. (Russian)
54.: B. I. Datsenko, A. A. Kurchenko, and M. I. Yadrenko, A problem of nonlinear filtering of a random process. II, Vychisl. Prikl. Mat. (Kiev) 29 (1976) 123-129. (Russian)
55.: S. B. Khatset and M. I. Yadrenko, An optimal estimate of the unknown mean value of a homogeneous random field on a cylinder, Visnik Kyïv. Univ., Ser. Mat. Mekh. 18 (1976), 75-80. (Ukrainian)
56.: N. N. Leonenko and M. I. Yadrenko, The asymptotic normality of least squares estimates of the regression coefficients of homogeneous and isotropic random fields, Kibernetika (Kiev) 2 (1977), 108-112. (Russian) MR 0654515 (58:31665)
57.: M. G. Al'-Madani and M. I. Yadrenko, A problem of linear extrapolation of a vector-valued homogeneous and isotropic random field, Dokl. Akad. Nauk Ukrain. SSR Ser. A 10 (1977), 871-873. (Ukrainian) MR 0494446 (58:13307)
58.: M. P. Moklyachuk and M. I. Yadrenko, Linear statistical problems for stationary isotropic randoms fields on a sphere. I Teor. Veroyatnost. i Mat. Statist. 18 (1978), 106-115; English transl. in Theory Probab. Math. Statist. 18 (1979), 115-124. MR 0517711 (58:24512a)
59.: M. P. Moklyachuk and M. I. Yadrenko, Linear statistical problems for stationary isotropic randoms fields on a sphere. II, Teor. Veroyatnost. i Mat. Statist. 19 (1978), 111-122; English transl. in Theory Probab. Math. Statist. 19 (1979), 129-139. MR 0517724 (58:24512b)
60.: N. N. Leonenko and M. I. Yadrenko, Limit distribution of a functional of a homogeneous random field, Theory of random processes (Russian) 6 (1978), 64-68. (Russian) MR 540278 (81g:60021)
61.: N. N. Leonenko and M. I. Yadrenko, A central limit theorem for a class of random fields, Dokl. Akad. Nauk Ukrain. SSR 12 (1978), 1086-1088. (Russian) MR 524133 (81j:60027)
62.: N. N. Leonenko and M. I. Yadrenko, An invariance principle for homogeneous and isotropic random fields, Teor. Veroyatnost. i Primenen. 24 (1979), no. 1, 175-181; English transl. in Theory Probab. Appl. 24 (1979), 175-180. MR 522250 (80c:60050)
63.: G. P. Grechka, I. I. Zaitsev, M. P. Moklyachuk, and M. I. Yadrenko, A statistical problem in the error analysis of frequency type detectors, Vychisl. Prikl. Mat. (Kiev) 38 (1979), 49-53. (Russian) MR 544170 (81k:62124)
64.: N. N. Leonenko and M. I. Yadrenko, The invariance principle for some classes of random fields, Ukraïn. Mat. Zh. 31 (1979), no. 5, 559-565; English transl. in Ukrainian Math. J. 31 (1980), no. 5, 443-448. MR 552493 (82a:60043)
65.: N. N. Leonenko and M. I. Yadrenko, Limit theorems for homogeneous and isotropic random fields, Teor. Veroyatnost. i Mat. Statist. 21 (1979), 97-109; English transl. in Theory Probab. Math. Statist. 21 (1979), 113-125. MR 550249 (82a:60030)
66.: N. N. Leonenko and M. I. Yadrenko, Some problems in the spectral theory of random fields on a Hilbert space, Teor. Veroyatnost. i Mat. Statist. 25 (1981), 63-76; English transl. in Theory Probab. Math. Statist. 25 (1982), 69-81. MR 631034 (83d:60064)
67.: S. O. Omarov and M. I. Yadrenko, An analogue of the Kotel'nikov-Shannon formula for homogeneous and isotropic random fields, Teor. Veroyatnost. i Mat. Statist. 35 (1986), 63-76; English transl. in Theory Probab. Math. Statist. 35 (1987), 83-85. MR 885669 (88g:60132)
68.: S. Bektashov, Dang Dyk Khau, and M. I. Yadrenko, Optimal linear estimates for the unknown mean of a random field that is observable on the cross, Vychisl. Prikl. Mat. (Kiev) 64 (1988), 116-121; English transl. in J. Soviet Math. 66 (1993), no. 3, 2331-2335. MR 966658 (90e:62122)
69.: S. Bektashov, Dang Dyk Khau, and M. I. Yadrenko, Asymptotic efficiency of the arithmetic mean estimate for an unknown mean of a homogeneous random field, Vychisl. Prikl. Mat. (Kiev) 66 (1988), 106-111; English transl. in J. Soviet Math. 66 (1993), no. 4, 2438-2441. MR 987930 (90e:62123)
70.: L. V. Shilo and M. I. Yadrenko, An estimate for the unknown mean of a homogeneous random field of a discrete argument, Teor. Veroyatnost. i Mat. Statist. 40 (1989), 132-140; English transl. in Theory Probab. Math. Statist. 40 (1990), 159-166. MR 1001951 (90g:62226)
71.: T. I. Zhegrii and M. I. Yadrenko, Discrete distributions of reliability type, Issled. Operatsii i ASU 33 (1989), 10-16. (Russian) MR 1003471 (90k:62224)
72.: I. V. Zaika and M. I. Yadrenko, Homogenous and isotropic random measures, Teor. Veroyatnost. i Mat. Statist. 44 (1991), 63-67; English transl. in Theory Probab. Math. Statist. 44 (1992), 61-64. MR 1168428 (93m:60096)
73.: S. Bektashov and M. I. Yadrenko, Statistical estimates for the unknown mean of a homogenous and isotropic random field, Vychisl. Prikl. Mat. (Kiev) 73 (1992), 71-78; English transl. in J. Math. Sci. 71 (1994), no. 5, 2682-2688. MR 1168868 (93c:62155)
74.: Z. A. Grikh, O. M. Yadrenko, and M. I. Yadrenko, On the approximation theorems and statistical simulation of isotropic random fields, Random Oper. Stochastic Equations 1 (1993), 37-43.
75.: A. K. Rakhimov and M. I. Yadrenko, Statistical simulation of a homogeneous isotropic random field on the plane and estimations of simulation errors, Teor. Veroyatnost. i Mat. Statist. 49 (1993), 245-251; English transl. in Theory Probab. Math. Statist. 49 (1994), 177-181. MR 1445264 (97m:60079)
76.: T. Zhegrii and M. I. Yadrenko, On a limit theorem for distributions with random intensity, Teor. Imovir. Mat. Stat. 49 (1993), 241-244; English transl. in Theory Probab. Math. Statist. 49 (1994), 173-175. MR 1445263 (97m:60018)
77.: Quasianalytic random fields, Teor. Imovir. Mat. Stat. 50 (1994), 138-141; English transl. in Theory Probab. Math. Statist. 50 (1995), 143-146. MR 1445529 (97m:60080)
78.: N. N. Leonenko, L. M. Il'icheva, and M. I. Yadrenko, On the efficiency of the least squares estimator of regression coefficients of a random field observed on the sphere, Exploring Stochastic Laws, VSP, Utrecht, 1995, pp. 257-262. MR 1714011 (2000i:62084)
79.: N. N. Leonenko, L. M. Il'icheva, and M. I. Yadrenko, Efficient estimation of regression coefficients of a homogeneous isotropic random field observed on the sphere, Dopov. Nats. Akad. Nauk Ukraïni (1995), no. 3, 21-25. MR 1417598 (97e:62125)
80.: S. Bektashov and M. Yadrenko, A remark on statistical ergodicity of homogenous random fields, Visnik Kyïv. Univ., Ser. Fiz. Mat. 1 (1995), 13-16. (Russian)
81.: S. I. Khalikulov and M. I. Yadrenko, On the approximation of homogeneous and isotropic random fields with a bounded spectrum, Teor. Imovir. Mat. Stat. 58 (1998), 180-183; English transl. in Theory Probab. Math. Statist. 58 (1999), 195-199. MR 1793653 (2001f:60054)
82.: O. Gamalii and M. Yadrenko, Statistical modeling of a homogeneous isotropic random field in the space and estimates for modeling errors, Teor. Imovir. Mat. Stat. 59 (1998), 171-175; English transl. in Theory Probab. Math. Statist. 59 (1999), 177-181. MR 1793778
83.: Z. O. Vizhva and M. I. Yadrenko, Statistical modeling of isotropic random fields on a sphere, Visnik Kyïv. Univ. im. T. Shevchenka, Ser. Mat. Mekh. (2000), no. 5, 5-11. (Ukrainian)
84.: Some statistical problems for the Whittle random field, Teor. Imovir. Mat. Stat. 63 (2000), 163-167; English transl. in Theory Probab. Math. Statist. 63 (2001), 179-183. MR 1870787 (2002m:60097)
85.: S. I. Khalikulov and M. I. Yadrenko, The Kotel'nikov-Shannon theorem for random fields on a cylinder, Visnik Kyïv. Univ., Ser. Fiz. Mat. 5 (2000), 55-61. (Ukrainian)
86.: M. O. Drozdenko, T. I. Zhegrii, and M. I. Yadrenko, On some generalizations of mixtures of exponential distributions, Teor. Imovir. Mat. Stat. 65 (2001), 39-45; English transl. in Theory Probab. Math. Statist. 65 (2002), 45-52. MR 1936127 (2003j:60018)
87.: N. Semenovs'ka and M. Yadrenko, Explicit extrapolation formulas for some correlation models of homogenous and isotropic random fields, Teor. Imovir. Mat. Stat. 69 (2003), 162-171; English transl. in Theory Probab. Math. Statist. 69 (2004), 175-185. MR 2110915 (2005k:60160)
88.: Yu. Perun and M. Yadrenko, About a problem of linear extrapolation for one class of random fields, Theory Stoch. Process. 10(26) (2004), no. 1-2, 154-158.
89.: N. Semenovs'ka and M. Yadrenko, The problem of estimating the unknown mean value for some correlation models of homogenous and isotropic random fields, Teor. Imovir. Mat. Stat. 72 (2005), 172-179; English transl. in Theory Probab. Math. Statist. 72 (2006), 193-201. MR 2168148 (2007b:60125)
90.: V. V. Buldygin, Yu. V. Kozachenko, and N. N. Leonenko, On the works of M. I. Yadrenko in the theory of random fields, Ukraïn. Mat. Zh. 44 (1992), no. 11, 1460-1465; English transl. in Ukrainian Math. J. 44 (1992), 1343-1348. MR 1213887 (94b:60060)

Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2000): 01A70

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN: 1547-7363(e) 0094-9000(p)

Previous number \| Table of contents \| Next number Recently posted articles \| Most recent number \| All numbers Previous Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS