01.01.05 (Probability theory and mathematical statistics)
Birth date:
27.02.1931
Biography
Main publications:
V. M. Zolotarev. Vyrazhenie plotnosti ustoichivykh zakonov s pokazatelem $\alpha$, bolshim edinitsy cherez plotnost s pokazatelem $1/\alpha$ // DAN SSSR (1954), t. 98, # 5.
V. M. Zolotarev. Obschaya teoriya peremnozheniya nezavisimykh sluchainykh velichin // DAN SSSR (1964), t. 142, # 4.
V. M. Zolotarev. Obobschenie teoremy Lindeberga–Fellera // Teoriya veroyatnostei i ee primeneniya (1967), t. 12, # 4.
V. M. Zolotarev. Metricheskie rasstoyaniya v prostranstvakh sluchainykh velichin i ikh raspredelenii // Matem. sbornik (1976), t. 101(143), # 3(11).
V. M. Zolotarev. Odnomernye ustoichivye raspredeleniya. M., Nauka, 1983.
V. M. Zolotarev, “Upper estimate of the rate of convergence in the generalized Lindeberg–Feller theorem”, Fundam. Prikl. Mat., 2:4 (1996), 1045–1053
1994
2.
V. M. Zolotarev, “On representation of densities of stable laws by special functions”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 429–437; Theory Probab. Appl., 39:2 (1994), 354–362
V. M. Zolotarev, “Asymptotic expansions with probability $1$ of sums of independent random variables”, Teor. Veroyatnost. i Primenen., 36:4 (1991), 770–772; Theory Probab. Appl., 36:4 (1991), 800–802
4.
V. M. Zolotarev, “Reflection on the classical theory of limit theorems”, Teor. Veroyatnost. i Primenen., 36:1 (1991), 111–126; Theory Probab. Appl., 36:1 (1991), 124–137
V. M. Zolotarev, “Limit Theorems as the Stability Ones”, Teor. Veroyatnost. i Primenen., 34:1 (1989), 178–189; Theory Probab. Appl., 34:1 (1989), 153–163
V. M. Zolotarev, “Real refinements of limit theorems in probability theory”, Trudy Mat. Inst. Steklov., 182 (1988), 24–47; Proc. Steklov Inst. Math., 182 (1990), 23–47
V. M. Zolotarev, “Properties of and relations among certain types of metrics”, Zap. Nauchn. Sem. LOMI, 87 (1979), 18–35; J. Soviet Math., 17:6 (1981), 2218–2232
V. M. Zolotarev, “Quantitative estimates for the continuity property of queueing systems of type $G|G|\infty$”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 700–711; Theory Probab. Appl., 22:4 (1978), 679–691
V. M. Zolotarev, “Ideal metrics in the problem of approximating the distributions of sums of independent random variables”, Teor. Veroyatnost. i Primenen., 22:3 (1977), 449–465; Theory Probab. Appl., 22:3 (1978), 433–449
V. M. Zolotarev, “Metric distances in spaces of random variables and their distributions”, Mat. Sb. (N.S.), 101(143):3(11) (1976), 416–454; Math. USSR-Sb., 30:3 (1976), 373–401
V. M. Zolotarev, “Approximation of the distribution of sums of independent variables with values in infinite-dimensional spaces”, Teor. Veroyatnost. i Primenen., 21:4 (1976), 741–758; Theory Probab. Appl., 21:4 (1977), 721–737
V. M. Zolotarev, “On the stochastic continuity of the queuing systems of type $G|G|1$”, Teor. Veroyatnost. i Primenen., 21:2 (1976), 260–279; Theory Probab. Appl., 21:2 (1977), 250–269
V. M. Zolotarev, “Stability effect in characterization of distributions”, Zap. Nauchn. Sem. LOMI, 61 (1976), 38–55; J. Soviet Math., 16:5 (1981), 1364–1377
V. M. Zolotarev, “On continuity of stochastic sequences generated by recurrent procedures”, Teor. Veroyatnost. i Primenen., 20:4 (1975), 834–847; Theory Probab. Appl., 20:4 (1976), 819–832
V. M. Zolotarev, V. M. Kruglov, “The structure of infinitely divisible distributions on a bicompact Abelian group”, Teor. Veroyatnost. i Primenen., 20:4 (1975), 712–724; Theory Probab. Appl., 20:4 (1976), 698–709
V. M. Zolotarev, V. V. Senatov, “Two-sided estimates of Levy's metric”, Teor. Veroyatnost. i Primenen., 20:2 (1975), 239–250; Theory Probab. Appl., 20:2 (1976), 234–245
V. M. Zolotarev, “Quantitive estimations in problems of continuity of queueing systems”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 215–218; Theory Probab. Appl., 20:1 (1975), 211–213
V. M. Zolotarev, “On the accuracy of approximation in the central limit theorem”, Dokl. Akad. Nauk SSSR, 203:1 (1972), 22–24
1971
21.
V. M. Zolotarev, “Estimates of the difference between distributions in the Lévy metric”, Trudy Mat. Inst. Steklov., 112 (1971), 224–231; Proc. Steklov Inst. Math., 112 (1971), 232–240
L. N. Bol'shev, V. M. Zolotarev, E. S. Kedrova, M. A. Rybinskaya, “Tables of the cumulative functions of one-side stable distributions”, Teor. Veroyatnost. i Primenen., 15:2 (1970), 309–319; Theory Probab. Appl., 15:2 (1970), 299–309
V. M. Zolotarev, “On the problem of the stability of the decomposition of the normal law into components”, Teor. Veroyatnost. i Primenen., 13:4 (1968), 738–742; Theory Probab. Appl., 13:4 (1968), 697–700
V. M. Zolotarev, “Some remarks on multidimensional inegualities of the Bernstein–Kolmogorov type”, Teor. Veroyatnost. i Primenen., 13:2 (1968), 289–294; Theory Probab. Appl., 13:2 (1968), 281–286
V. M. Zolotarev, “Some inequalities from probability theory and their application to a refinement of A. M. Ljapunov's theorem”, Dokl. Akad. Nauk SSSR, 177:3 (1967), 501–504
V. M. Zolotarev, “A generalization of the Lindeberg–Feller theorem”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 666–677; Theory Probab. Appl., 12:4 (1967), 608–618
V. M. Zolotarev, “On $M$-divisibility of stable laws of stable laws”, Teor. Veroyatnost. i Primenen., 12:3 (1967), 559–562; Theory Probab. Appl., 12:3 (1967), 506–508
V. M. Zolotarev, “A multidimensional analogue of Berry–Esseen's inequality for sets of a bounded diameter”, Teor. Veroyatnost. i Primenen., 11:3 (1966), 507–514; Theory Probab. Appl., 11:3 (1966), 447–454
V. M. Zolotarev, “An absolute estimate of the remainder in the central limit theorem”, Teor. Veroyatnost. i Primenen., 11:1 (1966), 108–119; Theory Probab. Appl., 11:1 (1966), 95–105
V. M. Zolotarev, “On the closeness of the distributions of the two sums of independent random variables”, Teor. Veroyatnost. i Primenen., 10:3 (1965), 519–526; Theory Probab. Appl., 10:3 (1965), 472–479
V. M. Zolotarev, “Asymptotic Behaviour of the Distributions of Processes with Independent Increments”, Teor. Veroyatnost. i Primenen., 10:1 (1965), 33–50; Theory Probab. Appl., 10:1 (1965), 28–44
V. M. Zolotarev, “Distribution of the length of a queue and of the number of operating servers in a system of Erlang type with random breakdowns and renewal of servers”, Trudy Mat. Inst. Steklov., 71 (1964), 51–61
35.
V. M. Zolotarev, “On the representation of stable laws by integrals”, Trudy Mat. Inst. Steklov., 71 (1964), 46–50
V. M. Zolotarev, “On the Moment of the First Intersection of a Level and the Behavior at Infinity for one Class of Processes with Independent Increments”, Teor. Veroyatnost. i Primenen., 9:4 (1964), 724–733; Theory Probab. Appl., 9:4 (1964), 653–662
V. M. Zolotarev, “On Asymptotically Best Constants in More Exact Forms of Mean Limit Theorems”, Teor. Veroyatnost. i Primenen., 9:2 (1964), 293–302; Theory Probab. Appl., 9:2 (1964), 268–276
V. M. Zolotarev, “General theory of the multiplication of random variables”, Dokl. Akad. Nauk SSSR, 142:4 (1962), 788–791
1961
39.
V. M. Zolotarev, “A duality relation in the class of infinitely divisible laws”, Trudy Mat. Inst. Steklov., 64 (1961), 52–60
40.
V. M. Zolotarev, V. S. Korolyuk, “On a Hypothesis Proposed by B. V. Gnedenko”, Teor. Veroyatnost. i Primenen., 6:4 (1961), 469–474; Theory Probab. Appl., 6:4 (1961), 431–435
V. M. Zolotarev, “On the Asymptotic Behavior of a Class of Infinitely Divisible Laws”, Teor. Veroyatnost. i Primenen., 6:3 (1961), 330–334; Theory Probab. Appl., 6:3 (1961), 304–307
V. M. Zolotarev, “Concerning a Certain Probability Problem”, Teor. Veroyatnost. i Primenen., 6:2 (1961), 219–222; Theory Probab. Appl., 6:2 (1961), 201–204
V. M. Zolotarev, “Distribution of the Superposition of Infinitely Divisible Processes”, Teor. Veroyatnost. i Primenen., 3:2 (1958), 197–200; Theory Probab. Appl., 3:2 (1958), 185–188
V. M. Zolotarev, “Mellin–Stieltjes Transforms in Probability Theory”, Teor. Veroyatnost. i Primenen., 2:4 (1957), 444–469; Theory Probab. Appl., 2:4 (1957), 433–460
V. M. Zolotarev, “More Exact Statements of Several Theorems in the Theory of Branching Processes”, Teor. Veroyatnost. i Primenen., 2:2 (1957), 256–266; Theory Probab. Appl., 2:2 (1957), 245–253
V. M. Zolotarev, “On a problem from the theory of branching random processes”, Uspekhi Mat. Nauk, 9:2(60) (1954), 147–156
2003
47.
A. A. Borovkov, V. A. Vatutin, V. M. Zolotarev, A. M. Zubkov, I. A. Ibragimov, R. I. Ivanovskaya, V. F. Kolchin, V. P. Maslov, Yu. V. Prokhorov, M. V. Khatuntseva, V. I. Khokhlov, A. S. Holevo, D. M. Chibisov, A. N. Shiryaev, “On the 80th Birthday of B. A. Sevastyanov”, Teor. Veroyatnost. i Primenen., 48:4 (2003), 785; Theory Probab. Appl., 48:4 (2004), 697–702
V. M. Zolotarev, V. Yu. Korolev, “XX International Seminar on Stability Problems of Stochastic Models (Abstracts) I”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 793–818; Theory Probab. Appl., 45:4 (2001), 699–724
V. M. Zolotarev, V. Yu. Korolev, “XIX International Seminar on Stability Problems of Stochastic Models”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 155–210; Theory Probab. Appl., 44:1 (2000), 140–196
V. A. Vatutin, V. M. Zolotarev, R. I. Ivanovskaya, I. A. Ibragimov, Yu. V. Prokhorov, V. M. Sazonov, B. A. Sevast'yanov, A. D. Solov'ev, D. M. Chibisov, A. N. Shiryaev, “Boris Vladimirovich Gnedenko (1.I.1912-27.XII.1995)”, Teor. Veroyatnost. i Primenen., 41:2 (1996), 393–395; Theory Probab. Appl., 41:2 (1997), 326–327
1993
51.
N. S. Bakhvalov, A. A. Borovkov, R. L. Dobrushin, A. V. Zabrodin, V. M. Zolotarev, I. A. Ibragimov, Yu. V. Prokhorov, B. A. Sevast'yanov, Ya. G. Sinai, A. V. Skorokhod, V. A. Statulyavichus, R. Z. Khas'minskii, A. S. Kholevo, D. M. Chibisov, A. N. Shiryaev, “Memorial: Nikolai Nikolaevitch Chentsov”, Teor. Veroyatnost. i Primenen., 38:3 (1993), 613–623; Theory Probab. Appl., 38:3 (1993), 506–515
V. M. Zolotarev, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 22:4 (1977), 901; Theory Probab. Appl., 22:4 (1978), 881
54.
V. M. Zolotarev, “Correction Note”, Zap. Nauchn. Sem. LOMI, 74 (1977), 145; J. Soviet Math., 34:1 (1986), 1449
1968
55.
V. M. Zolotarev, “Letter to the editor”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 195
1966
56.
V. M. Zolotarev, “Letter to the Editor”, Teor. Veroyatnost. i Primenen., 11:2 (1966), 362–363; Theory Probab. Appl., 11:2 (1966), 320–321
1962
57.
V. M. Zolotarev, “Errata to the paper in v. 6, no. 4 (1961)”, Teor. Veroyatnost. i Primenen., 7:1 (1962), 120
1954
58.
D. E. Men'shov, I. R. Shafarevich, E. A. Morozova, V. M. Zolotarev, “XVI Moscow School Mathematical Competition”, Uspekhi Mat. Nauk, 9:3(61) (1954), 257–262