\boxed{Mikhailo Iosipovich Yadrenko} April 16, 1932–September 28, 2004

doi:10.1090/S0094-9000-07-00708-9

\boxed{\text{Mikhailo Iosipovich Yadrenko}} April 16, 1932–September 28, 2004

Translated by: V. Zayats
Journal: Theor. Probability and Math. Statist. 74 (2007), 191-198
MSC (2000): Primary 01A70
DOI: https://doi.org/10.1090/S0094-9000-07-00708-9
Published electronically: July 9, 2007
MathSciNet review: 2336789
Full-text PDF Free Access

References

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

I. I. Gikhman, A. V. Skorokhod, and M. I. Yadrenko, Probability Theory and Mathematical Statistics, “Vyshcha shkola”, Kiev, 1979. (Russian)

M. Ĭ. Yadrenko, Spectral theory of random fields, Translation Series in Mathematics and Engineering, Optimization Software, Inc., Publications Division, New York, 1983. Translated from the Russian. MR 697386

M. M. Leonenko, Yu. S. Mishura, V. M. Parkhomenko, and M. Ĭ. Yadrenko, Probabilistic and Statistical Methods in Econometrics and Financial Mathematics, “Informtekhnika”, Kyïv, 1996. (Ukrainian)

Discrete Mathematics, TViMS, Kyïv, 2004. (Ukrainian)

Some problems in the theory of random walks, Scientific papers of students of Kiev State University, Ser. Mathematics 16 (1955), 199–210. (Russian)

Isotropic random fields of the Markov type on a sphere, Scientific Annuary of Kiev State University (1957), 328. (Ukrainian)

Isotropic random fields of the Markov type on a Euclidean space, Scientific Annuary of Kiev State University (1957), 329. (Ukrainian)

On some problems of linear prediction for homogeneous random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. 2 (1958), no. 1, 113–123. (Ukrainian)

Isotropic random fields of the Markov type on a sphere, Dopovidi Akad. Nauk Ukraïn. RSR (1959), no. 3, 231–235. (Ukrainian)

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)

M. Ĭ. Jadrenko, On a class of isotropic random vector fields, Ukrain. Mat. Ž. 12 (1960), 223–225 (Russian). MR 0170391

On a class of isotropic random fields in the space, Dopovidi Akad. Nauk Ukraïn. RSR (1962), no. 1, 15–18. (Ukrainian)

On a class of isotropic random fields in an infinite-dimensional Lobachevsky space, Dopovidi Akad. Nauk Ukraïn. RSR (1962), no. 3, 327–329. (Ukrainian)

M. Ĭ. Jadrenko, Isotropic random fields of Markov type in Euclidean space, Dopovidi Akad. Nauk Ukraïn. RSR 1963 (1963), 304–306 (Ukrainian, with Russian and English summaries). MR 0164376

An optimal periodic control of a device, Avtomat. i Vychisl. Tekhn. (1967), no. 3, 57–61. (Russian)

Some life span distributions with random failure rate, Avtomat. i Vychisl. Tekhn. (1967), no. 4, 48–52. (Russian)

M. Ĭ. Jadrenko, Local properties of sample functions of random fields, Vīsnik Kiïv. Unīv. Ser. Mat. Meh. 1967 (1967), no. 9, 103–112 (Ukrainian, with Russian and English summaries). MR 0233410

The continuity of random fields in a Hilbert space, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1968), no. 8, 734–736. (Ukrainian)

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.

M. Ĭ. Jadrenko, Spherical means of isotropic random fields, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A 1968 (1968), 1105–1107 (Ukrainian, with Russian and English summaries). MR 0253408

Ju. D. Popov and M. Ĭ. Jadrenko, Certain questions of the spectral theory of homogeneous and isotropic random fields, Teor. Verojatnost. i Primenen. 14 (1969), 531–540 (Russian, with English summary). MR 0278374

M. Ĭ. Jadrenko, Analytic random fields, Vīsnik Kiïv. Unīv. 1969 (1969), no. 11, Ser. Mat. Meh., 53–56 (Ukrainian, with English and loose Russian summaries). MR 0253398

M. Ĭ. Jadrenko, A certain problem of linear extrapolation for an isotropic random field, Teor. Verojatnost. i Mat. Statist. 1970 (1970), no. vyp. 1, 240–248 (Russian, with English summary). MR 0275509

M. Ĭ. Jadrenko, Ergodic theorems for isotropic random fields, Teor. Verojatnost. i Mat. Statist. 1970 (1970), no. vyp. 1, 249–251 (Russian, with English summary). MR 0281251

M. Ĭ. Jadrenko, A certain problem of linear extrapolation for a homogeneous and isotropic random field on the Lobačevskiĭplane, Teor. Verojatnost. i Mat. Statist. Vyp. 2 (1970), 263–269 (Russian, with English summary). MR 0279880

M. Ĭ. Jadrenko, A certain interpolation problem for a homogeneous and isotropic random field, Teor. Verojatnost. i Mat. Statist. 4 (1971), 212–220 (Russian, with English summary). MR 0322946

Ĭ. Ī. Gīhman, A. S. Taratuta, and M. Ĭ. Jadrenko, Certain models of random fluctuations, Vyčisl. Prikl. Mat. (Kiev) 14 (1971), 36–47 (Russian, with English summary). MR 0311054

M. Ĭ. Jadrenko, Isotropic random fields of Markov type, Teor. Verojatnost. i Mat. Statist. Vyp. 5 (1971), 128–137 (Russian, with English summary). MR 0288828

V. N. Nagorniĭ and M. Ĭ. Jadrenko, Polynomial interpolation of random processes, Vīsnik Kiïv. Unīv. 13 (1971), 10–12, 145 (Ukrainian, with English and Russian summaries). MR 0307431

M. Ĭ Jadrenko, Isotropic random fields on a sphere in Hilbert space, Teor. Verojatnost. i Mat. Statist. 6 (1972), 142–146 (Russian, with English summary). MR 0307321

Quasianalytic random fields, Visnik Kyïv. Univ., Ser. Mat. Mekh. (1972), no. 14, 56–61. (Ukrainian)

M. Ĭ. Jadrenko, The absolute continuity of measures corresponding to homogeneous Gaussian random fields, Teor. Verojatnost. i Mat. Statist. Vyp. 7 (1972), 152–161, 167 (Russian, with English summary). MR 0433581

On some interpolation problems for random fields, Dopovidi Akad. Nauk Ukraïn. RSR Ser. A (1972), no. 4, 346–347. (Ukrainian)

V. N. Nagornyĭ, L. V. Pogorelyĭ, and M. I. Yadrenko, Statistical simulation of sample paths of certain classes of random processes, Vychisl. Prikl. Mat. (Kiev) 17 (1972), 39–50. (Russian)

L. V. Pogorelyĭ and M. Ĭ Jadrenko, Certain models of random processes that describe the operation of moving assemblages, Vyčisl. Prikl. Mat. (Kiev) 18 (1972), 102–107 (Russian, with English summary). MR 0322968

M. I. Yadrenko, On optimal linear estimates of expectation and regression coefficients of homogeneous and isotropic random fields, Problemy Upravlenija i Teorii Informacii 2 (1973), no. 1, 17–26; English transl., Problems of Control and Information Theory (English translation of Communications in Russian) 2 (1973), no. 1, 1–9. MR 0331686, DOI https://doi.org/10.1016/0016-0032%2848%2990831-x

A. V. Skorohod and M. Ĭ. Jadrenko, Absolute continuity of measures that correspond to homogeneous Gaussian fields, Teor. Verojatnost. i Primenen. 18 (1973), 30–43 (Russian, with English summary). MR 0312563

M. Ĭ. Jadrenko, Optimal linear estimates of the regression coefficients of isotropic random fields, Problemy Peredači Informaciĭ 9 (1973), no. 3, 68–79 (Russian). MR 0326954

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)

S. V. Hacet and M. Ĭ. Jadrenko, Certain statistical problems for isotropic random fields on a sphere, Questions of statistics and of the control of random processes (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1973, pp. 242–250 (Russian). MR 0426125

M. Ĭ. Jadrenko, The orthogonality of measures that correspond to homogeneous Gaussian random fields, Theory of random processes, No. 2 (Russian), Izdat. “Naukova Dumka”, Kiev, 1974, pp. 131–135, 140 (Russian). MR 0433582

M. I. Jadrenko, A problem of the discrimination of hypotheses for isotropic random fields, Kibernetika (Kiev) 5 (1974), 68–72 (Russian, with English summary). MR 418214

V. I. Rudomanov, V. F. Sinyavskiĭ, and M. I. Yadrenko, The simulation of realizations of homogeneous random processes, Vychisl. Prikl. Mat. (Kiev) 24 (1974), 33–40, 158. (Russian)

M. Ĭ. Jadrenko, Linear and quadratic functionals on homogeneous and isotropic Gaussian random fields, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A (1974), 884–886, 956 (Ukrainian, with English and Russian summaries). MR 0358953

A. Ponomarenko and M. Yadrenko, All-Union symposium on statistics of random processes, Uspekhi Matem. Nauk XXIX (1974), no. 4, 211–216. (Russian)

M. G. Al′-Madani and M. Ĭ. Jadrenko, Spectral decompositions of homogeneous and isotropic vector random fields, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A (1975), 99–101, 187 (Ukrainian, with English and Russian summaries). MR 0394827

M. M. Leonenko and M. Ĭ. Jadrenko, The central limit theorem for homogeneous and isotropic random fields, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A 4 (1975), 314–316, 380 (Ukrainian, with English and Russian summaries). MR 0378046

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.

M. G. Al′-Madani and M. I. Jadrenko, On a filtering problem for homogeneous and isotropic random fields, Teor. Verojatnost. i Mat. Statist. Vyp. 13 (1975), 13–20, 160 (Russian, with English summary). MR 0426135

Ju. V. Kozačenko and M. I. Jadrenko, Local properties of sample functions of random fields. I, Teor. Verojatnost. i Mat. Statist. Vyp. 14 (1976), 53–66, 155. (1 table) (Russian, with English summary). MR 0418211

Ju. V. Kozačenko and M. I. Jadrenko, Local properties of sample functions of random fields. II, Teor. Verojatnost. i Mat. Statist. Vyp. 15 (1976), 82–98, 155 (Russian, with English summary). MR 0418212

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)

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)

S. B. Khatset and M. Ĭ. 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)

N. N. Leonenko and M. Ĭ. Jadrenko, The asymptotic normality of least squares estimates of the regression coefficients of homogeneous and isotropic random fields, Kibernetika (Kiev) 2 (1977), 108–112 (Russian, with English summary). MR 654515

M. G. Al′-Madani and M. Ĭ. Jadrenko, 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, 958 (Russian, with English summary). MR 0494446

M. P. Mokljačuk and M. Ĭ. Jadrenko, Linear statistical problems for isotropic random fields on the sphere that are homogeneous with respect to time. I, Teor. Verojatnost. i Mat. Statist. 18 (1978), 106–115, 182 (Russian, with English summary). MR 0517711

M. P. Mokljačuk and M. Ĭ. Jadrenko, Linear statistical problems for isotropic random fields on the sphere that are homogeneous with respect to time. II, Teor. Verojatnost. i Mat. Statist. 19 (1978), 111–121, 159 (Russian, with English summary). MR 0517724

N. N. Leonenko and M. Ĭ. Jadrenko, Limit distribution of a functional of a homogeneous random field, Theory of random processes, No. 6 (Russian), “Naukova Dumka”, Kiev, 1978, pp. 64–68, 134 (Russian). MR 540278

N. N. Leonenko and M. Ĭ. Jardenko, The central limit theorem for a class of random fields, Dokl. Akad. Nauk Ukrain. SSR Ser. A 12 (1978), 1086–1088, 1151 (Russian, with English summary). MR 524133

N. N. Leonenko and M. Ĭ. Jadrenko, An invariance principle for homogeneous and isotropic random fields, Teor. Veroyatnost. i Primenen. 24 (1979), no. 1, 175–181 (Russian, with English summary). MR 522250

G. P. Grečka, I. I. Zaĭcev, M. P. Mokljačuk, and M. Ĭ. Jadrenko, A statistical problem in the error analysis of frequency type detectors, Vychisl. Prikl. Mat. (Kiev) 38 (1979), 49–53, 164 (Russian, with English summary). MR 544170

N. N. Leonenko and M. Ĭ. Jadrenko, The invariance principle for some classes of random fields, Ukrain. Mat. Zh. 31 (1979), no. 5, 559–565, 621 (Russian). MR 552493

N. N. Leonenko and M. Ĭ. Jadrenko, Limit theorems for homogeneous and isotropic random fields, Teor. Veroyatnost. i Mat. Statist. 21 (1979), 97–109, 166 (Russian, with English summary). MR 550249

N. N. Leonenko and M. Ĭ. Yadrenko, Limit theorems for random fields in Hilbert space, Teor. Veroyatnost. i Mat. Statist. 25 (1981), 63–76, 167 (Russian, with English summary). MR 631034

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), 76–78, 123 (Russian). MR 885669

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, 151 (Russian); English transl., J. Soviet Math. 66 (1993), no. 3, 2331–2335. MR 966658, DOI https://doi.org/10.1007/BF01229606

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, 127 (Russian); English transl., J. Soviet Math. 66 (1993), no. 4, 2438–2441. MR 987930, DOI https://doi.org/10.1007/BF01364980

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, 145 (Russian); English transl., Theory Probab. Math. Statist. 40 (1990), 159–166. MR 1001951

T. I. Zhegriĭ and M. I. Yadrenko, Discrete distributions of reliability type, Issled. Operatsiĭ i ASU 33 (1989), 10–16, 132 (Russian). MR 1003471

I. V. Zaika and M. I. Yadrenko, Homogeneous and isotropic random measures, Teor. Veroyatnost. i Mat. Statist. 44 (1991), 63–67 (Russian); English transl., Theory Probab. Math. Statist. 44 (1992), 61–64. MR 1168428

S. Bektashov and M. I. Yadrenko, Statistical estimates for the unknown mean of a homogeneous and isotropic random field, Vychisl. Prikl. Mat. (Kiev) 73 (1992), 71–78 (Russian); English transl., J. Math. Sci. 71 (1994), no. 5, 2682–2688. MR 1168868, DOI https://doi.org/10.1007/BF02114046

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.

M. I. Yadrenko and A. K. Rakhimov, Statistical simulation of a homogeneous isotropic random field on the plane and estimations of simulation errors, Teor. Ĭmovīr. Mat. Stat. 49 (1993), 245–251 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 49 (1994), 177–181 (1995). MR 1445264

M. I. Yadrenko and T. I. Zhegriĭ, On a limit theorem for distributions with random intensity, Teor. Ĭmovīr. Mat. Stat. 49 (1993), 241–244 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 49 (1994), 173–175 (1995). MR 1445263

M. I. Yadrenko, Quasianalytic random fields, Teor. Ĭmovīr. Mat. Stat. 50 (1994), 138–141 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 50 (1995), 143–146. MR 1445529

N. N. Leonenko, M. I. Yadrenko, and L. M. Il′icheva, On the efficiency of the least squares estimator of regression coefficients of a random field observed on a sphere, Exploring stochastic laws, VSP, Utrecht, 1995, pp. 257–262. MR 1714011

N. N. Leonenko, M. I. Yadrenko, and L. M. Il′icheva, Efficient estimation of regression coefficients of a homogeneous isotropic random field observed on the sphere, Dopov. Nats. Akad. Nauk Ukraïni 3 (1996), 21–25 (English, with Ukrainian summary). MR 1417598

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)

M. Ĭ. Yadrenko and S. Ī. Khalīkulov, On the approximation of homogeneous and isotropic random fields with a bounded spectrum, Teor. Ĭmovīr. Mat. Stat. 58 (1998), 180–183 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 58 (1999), 195–199 (2000). MR 1793653

M. Ĭ. Yadrenko and O. G. Gamalīĭ, Statistical modeling of a homogeneous isotropic random field in the space $\mathbf R^3$ and estimates for modeling errors, Teor. Ĭmovīr. Mat. Stat. 59 (1998), 171–175 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 59 (1999), 177–181 (2000). MR 1793778

Z. O. Vizhva and M. Ĭ. 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)

M. Ĭ. Yadrenko, Some statistical problems for the Whittle random field, Teor. Ĭmovīr. Mat. Stat. 63 (2000), 163–167 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 63 (2001), 179–183 (2002). MR 1870787

S. I. Khalikulov and M. Ĭ. Yadrenko, The Kotel’nikov–Shannon theorem for random fields on a cylinder, Visnik Kyïv. Univ., Ser. Fiz. Mat. 5 (2000), 55–61. (Ukrainian)

M. O. Drozdenko, T. Ī. Zhegrīĭ, and M. Ĭ. Yadrenko, On some generalizations of mixtures of exponential distributions, Teor. Ĭmovīr. Mat. Stat. 65 (2001), 39–45 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 65 (2002), 45–52. MR 1936127

N. V. Semenovs′ka and M. Ĭ. Yadrenko, Explicit extrapolation formulas for some correlation models of homogeneous and isotropic random fields, Teor. Ĭmovīr. Mat. Stat. 69 (2003), 162–171 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 69 (2004), 175–185 (2005). MR 2110915, DOI https://doi.org/10.1090/S0094-9000-05-00624-1

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.

M. Ĭ. Yadrenko and N. Semenovs′ka, The problem of estimating the unknown mean value for some correlation models of homogeneous and isotropic random fields, Teor. Ĭmovīr. Mat. Stat. 72 (2005), 172–179 (Ukrainian, with Ukrainian summary); English transl., Theory Probab. Math. Statist. 72 (2006), 193–201. MR 2168148, DOI https://doi.org/10.1090/S0094-9000-06-00676-4

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 (Russian, with Russian and Ukrainian summaries); English transl., Ukrainian Math. J. 44 (1992), no. 11, 1343–1348 (1993). MR 1213887, DOI https://doi.org/10.1007/BF01071506