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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
L. V. Rozovskii, “On the complete convergence of moments in exact asymptotics under normal approximation”, Teor. Veroyatnost. i Primenen., 68:4 (2023), 769–778  ; Theory Probab. Appl., 68:4 (2024), 622–629  |
| 2. |
L. V. Rozovskii, “On the convergence rate in precise asymptotics”, Teor. Veroyatnost. i Primenen., 68:1 (2023), 57–74 ; Theory Probab. Appl., 68:1 (2023), 46–61 |
3
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| 3. |
L. V. Rozovsky, “On complete convergence of moments of i.i.d.r.v. with finite variances”, Zap. Nauchn. Sem. POMI, 525 (2023), 109–121 |
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2022 |
| 4. |
L. V. Rozovskii, “Large deviations of a sum of independent random variables with distributions with rapidly decreasing tails”, Teor. Veroyatnost. i Primenen., 67:3 (2022), 456–470 ; Theory Probab. Appl., 67:3 (2022), 363–374 |
| 5. |
L. V. Rozovsky, “On a complete moment convergence in precise asymptotics”, Zap. Nauchn. Sem. POMI, 515 (2022), 180–188 |
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2021 |
| 6. |
L. V. Rozovskii, “Comparison of Arithmetic, Geometric, and Harmonic Means”, Mat. Zametki, 110:1 (2021), 110–118  ; Math. Notes, 110:1 (2021), 118–125  |
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| 7. |
L. V. Rozovsky, “On the convergence rate in “the exact asymptotics” for random variables with a stable distribution”, Zap. Nauchn. Sem. POMI, 501 (2021), 259–275 |
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2020 |
| 8. |
L. V. Rozovskii, “On large deviations of a sum of independent random variables with rapidly decreasing distribution tails”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 86–89  ; Dokl. Math., 101:2 (2020), 150–153 |
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| 9. |
L. V. Rozovskii, “Small deviation probabilities for sums of independent positive random variables”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:3 (2020), 435–452 ; Vestn. St. Petersbg. Univ., Math., 7:3 (2020), 295–307 |
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| 10. |
L. V. Rozovsky, “Some limit theorems for large deviations of sums of independent random variables with a common distribution function from the domain of normal attraction of a stable distribution”, Zap. Nauchn. Sem. POMI, 495 (2020), 250–266 |
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2019 |
| 11. |
L. V. Rozovskii, “On integro-local CLT for sums of independent random vectors”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 707–724 ; Theory Probab. Appl., 64:4 (2020), 564–578 |
| 12. |
L. V. Rozovskii, “Integro-local CLT for sums of independent nonlattice random vectors”, Teor. Veroyatnost. i Primenen., 64:1 (2019), 36–52  ; Theory Probab. Appl., 64:1 (2019), 27–40 |
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| 13. |
L. V. Rozovskii, “On the asymptotic behavior of the convolution of distributions with regularly exponentially decreasing tails”, Zap. Nauchn. Sem. POMI, 486 (2019), 265–274 |
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2018 |
| 14. |
L. V. Rozovskii, “On the exact asymptotics of small deviations of $L_2$-norm for some Gaussian random fields”, Teor. Veroyatnost. i Primenen., 63:3 (2018), 468–481 ; Theory Probab. Appl., 63:3 (2019), 381–392 |
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| 15. |
L. V. Rozovskii, “Small deviation probabilities for a weighted sum of independent positive random variables with common distribution function that can decrease at zero fast enough”, Teor. Veroyatnost. i Primenen., 63:1 (2018), 191–202 ; Theory Probab. Appl., 63:1 (2018), 155–163 |
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2017 |
| 16. |
L. V. Rozovskii, “Small deviation probabilities of weighted sum of independent random variables with a common distribution having a power decrease in zero under minimal moment assumptions”, Teor. Veroyatnost. i Primenen., 62:3 (2017), 610–616 ; Theory Probab. Appl., 62:3 (2018), 491–495 |
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| 17. |
L. V. Rozovsky, “On asymptotic expansions in the “interval” CLT for sums of independent random vectors”, Zap. Nauchn. Sem. POMI, 466 (2017), 273–288 |
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2016 |
| 18. |
L. V. Rozovsky, “Small deviation probabilities for sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power”, Zap. Nauchn. Sem. POMI, 454 (2016), 254–260 ; J. Math. Sci. (N. Y.), 229:6 (2018), 767–771 |
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2015 |
| 19. |
L. V. Rozovskii, “Small deviation probabilities of weighted sums of independent positive random variables with a common distribution that decreases at zero not faster than a power”, Teor. Veroyatnost. i Primenen., 60:1 (2015), 178–186 ; Theory Probab. Appl., 60:1 (2016), 142–150 |
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| 20. |
L. V. Rozovsky, “On relation of the growth rate between moments and semyinvariants of a higher order”, Zap. Nauchn. Sem. POMI, 442 (2015), 118–121 ; J. Math. Sci. (N. Y.), 225:5 (2017), 802–804 |
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2014 |
| 21. |
L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distributions. II”, Teor. Veroyatnost. i Primenen., 59:1 (2014), 187–196 ; Theory Probab. Appl., 59:1 (2015), 168–177 |
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| 22. |
L. V. Rozovsky, “Small deviation probabilities for weighted sum of independent random variables with a common distribution, decreasing at zero not faster than a power”, Zap. Nauchn. Sem. POMI, 431 (2014), 178–185 ; J. Math. Sci. (N. Y.), 214:4 (2016), 540–545 |
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2013 |
| 23. |
L. V. Rozovsky, “Small deviations of series of independent nonnegative random variables with smooth weights”, Teor. Veroyatnost. i Primenen., 58:1 (2013), 133–151 ; Theory Probab. Appl., 58:1 (2014), 121–137 |
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| 24. |
L. V. Rozovsky, “Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero”, Zap. Nauchn. Sem. POMI, 412 (2013), 237–251 ; J. Math. Sci. (N. Y.), 204:1 (2015), 155–164 |
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2012 |
| 25. |
L. V. Rozovsky, “On the convergence conditions of the generalized Spitzer series”, Teor. Veroyatnost. i Primenen., 57:4 (2012), 809–810 ; Theory Probab. Appl., 57:4 (2013), 697–698 |
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2011 |
| 26. |
L. V. Rozovsky, “Small deviation probabilities for sums of independent positive random variables, whose density has a power decay at zero”, Zap. Nauchn. Sem. POMI, 396 (2011), 195–203 ; J. Math. Sci. (N. Y.), 188:6 (2013), 748–752 |
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2010 |
| 27. |
L. V. Rozovsky, “Small deviations of series of weighted positive random variables”, Zap. Nauchn. Sem. POMI, 384 (2010), 212–224 ; J. Math. Sci. (N. Y.), 176:2 (2011), 224–231 |
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2009 |
| 28. |
L. V. Rozovskii, “Probabilities of small deviations of the maximum of partial sums”, Teor. Veroyatnost. i Primenen., 54:4 (2009), 794–801 ; Theory Probab. Appl., 54:4 (2010), 717–724 |
| 29. |
L. V. Rozovsky, “Small deviations of the maximal element of a sequence of independent variables with smooth weights”, Zap. Nauchn. Sem. POMI, 368 (2009), 190–200 ; J. Math. Sci. (N. Y.), 167:4 (2010), 543–549 |
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2008 |
| 30. |
L. V. Rozovskii, “The Chernoff-Type Large Deviations for Sums with a Random Normalization”, Teor. Veroyatnost. i Primenen., 53:4 (2008), 810–817 ; Theory Probab. Appl., 53:4 (2009), 727–735 |
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| 31. |
L. V. Rozovskii, “On Gaussian Measure of Balls in a Hilbert Space”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 382–390 ; Theory Probab. Appl., 53:2 (2009), 357–364 |
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| 32. |
L. V. Rozovskii, “Small deviations of modified sums of independent random variables”, Zap. Nauchn. Sem. POMI, 361 (2008), 109–122 ; J. Math. Sci. (N. Y.), 159:3 (2009), 341–349 |
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2007 |
| 33. |
L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 175–179 ; Theory Probab. Appl., 52:1 (2008), 167–171 |
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| 34. |
L. V. Rozovskii, “A nonuniform estimate of the remainder in the central limit theorem”, Zap. Nauchn. Sem. POMI, 351 (2007), 238–241 ; J. Math. Sci. (N. Y.), 152:6 (2008), 932–933 |
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| 35. |
L. V. Rozovskii, “Small deviation probabilities for sums of independent positive random variables”, Zap. Nauchn. Sem. POMI, 341 (2007), 151–167 ; J. Math. Sci. (N. Y.), 147:4 (2007), 6935–6945 |
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2005 |
| 36. |
L. V. Rozovskii, “Small deviation probabilities for a class of distributions with a polinomial decreasing at zero”, Zap. Nauchn. Sem. POMI, 328 (2005), 182–190 ; J. Math. Sci. (N. Y.), 139:3 (2006), 6603–6607 |
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2004 |
| 37. |
L. V. Rozovskii, “On exact asymptotics in the weak law of large numbers
for sums of independent random variables with a
common distribution function
from the domain of attraction of a
stable law. II”, Teor. Veroyatnost. i Primenen., 49:4 (2004), 803–813 ; Theory Probab. Appl., 49:4 (2005), 724–734 |
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| 38. |
L. V. Rozovskii, “On small deviation probabilities of positive random variables”, Zap. Nauchn. Sem. POMI, 320 (2004), 150–159 ; J. Math. Sci. (N. Y.), 137:1 (2006), 4561–4566 |
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| 39. |
L. V. Rozovskii, “Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT”, Zap. Nauchn. Sem. POMI, 311 (2004), 242–259 ; J. Math. Sci. (N. Y.), 133:3 (2006), 1345–1355 |
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2003 |
| 40. |
L. V. Rozovskii, “On exact asymptotics in the weak law of large numbers
for sums of independent random variables with a common distribution function
from the domain of attraction of a
stable law”, Teor. Veroyatnost. i Primenen., 48:3 (2003), 589–596 ; Theory Probab. Appl., 48:3 (2004), 561–568 |
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| 41. |
L. V. Rozovskii, “Superlarge deviations of a sum of independent random variables having a common absolutely continuous distribution under the Cramér condition”, Teor. Veroyatnost. i Primenen., 48:1 (2003), 78–103 ; Theory Probab. Appl., 48:1 (2004), 108–130 |
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| 42. |
L. V. Rozovskii, “Large deviation probabilities for some classes of distributions, satisfying the Cramer condition”, Zap. Nauchn. Sem. POMI, 298 (2003), 161–185 ; J. Math. Sci. (N. Y.), 128:1 (2005), 2585–2600 |
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2002 |
| 43. |
L. V. Rozovskii, “An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 169–178 ; Theory Probab. Appl., 47:1 (2003), 174–183 |
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| 44. |
L. V. Rozovskii, “A remark on the Kolmogorov law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 166–169 ; Theory Probab. Appl., 47:1 (2003), 171–173 |
| 45. |
L. V. Rozovskii, “Limit theorems for large derivations of sums of independent random variables with common distribution function from the domain of attraction of the normal law”, Zap. Nauchn. Sem. POMI, 294 (2002), 165–193 ; J. Math. Sci. (N. Y.), 127:1 (2005), 1767–1783 |
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2001 |
| 46. |
L. V. Rozovskii, “On a lower bound of large – deviation probabilities for the sample mean under the Cramer condition”, Zap. Nauchn. Sem. POMI, 278 (2001), 208–224 ; J. Math. Sci. (N. Y.), 118:6 (2003), 5624–5634 |
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| 47. |
L. V. Rozovskii, “On some properties of a mean value”, Zap. Nauchn. Sem. POMI, 278 (2001), 204–207 ; J. Math. Sci. (N. Y.), 118:6 (2003), 5621–5623 |
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1999 |
| 48. |
L. V. Rozovskii, “On the J. Doob inequality for characteristic functions”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 650–652 ; Theory Probab. Appl., 44:3 (2000), 588–590 |
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| 49. |
L. V. Rozovskii, “An extremal property of the uniform distribution and some of its consequences”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 646–650 ; Theory Probab. Appl., 44:3 (2000), 583–588 |
3
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| 50. |
L. V. Rozovskii, “On a Feller theorem”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 128–132 ; Theory Probab. Appl., 44:1 (2000), 119–124 |
1
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| 51. |
L. V. Rozovskii, “An estimate of the integral of the module of a generalized Poisson distribution characteristic function in a small length interval”, Zap. Nauchn. Sem. POMI, 260 (1999), 240–249 ; J. Math. Sci. (New York), 109:6 (2002), 2210–2218 |
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| 52. |
L. V. Rozovskii, “A lower bound for large deviation probabilities of sum of independent random variables with finite variances”, Zap. Nauchn. Sem. POMI, 260 (1999), 218–239 ; J. Math. Sci. (New York), 109:6 (2002), 2192–2209 |
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1998 |
| 53. |
L. V. Rozovskii, “On the Cramér series coefficients”, Teor. Veroyatnost. i Primenen., 43:1 (1998), 161–166 ; Theory Probab. Appl., 43:1 (1999), 152–157 |
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1997 |
| 54. |
L. V. Rozovskii, “Probabilities of large deviations for sums of independent random variables with a common distribution function from the domain of attraction of an asymmetric stable law”, Teor. Veroyatnost. i Primenen., 42:3 (1997), 496–530 ; Theory Probab. Appl., 42:3 (1998), 454–482 |
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| 55. |
L. V. Rozovskii, “A generalization of the Kolmogorov theorem on the law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 134–143 ; Theory Probab. Appl., 42:1 (1998), 112–120 |
6
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| 56. |
L. V. Rozovskii, “On the law of iterated logarithm for sums of the independent finite variation random variables”, Zap. Nauchn. Sem. POMI, 244 (1997), 257–270 ; J. Math. Sci. (New York), 99:2 (2000), 1173–1181 |
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1996 |
| 57. |
L. V. Rozovski, “Large deviations of sums of independent random variables from the domain of attraction of a stable law”, Zap. Nauchn. Sem. POMI, 228 (1996), 262–283 ; J. Math. Sci. (New York), 93:3 (1999), 421–435 |
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1994 |
| 58. |
L. V. Rozovsky, “Sharpening of a Feller theorem on the law of iterated logarithm”, Zap. Nauchn. Sem. POMI, 216 (1994), 117–123 ; J. Math. Sci. (New York), 88:1 (1998), 81–85 |
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1993 |
| 59. |
L. V. Rozovskii, “Probabilities of large deviations on the whole axis”, Teor. Veroyatnost. i Primenen., 38:1 (1993), 79–109 ; Theory Probab. Appl., 38:1 (1993), 53–79 |
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1992 |
| 60. |
L. V. Rozovsky, “More about convergence rate in the weak law of large numbers”, Zap. Nauchn. Sem. LOMI, 194 (1992), 138–140 ; J. Math. Sci., 75:5 (1995), 1961–1962 |
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1989 |
| 61. |
L. V. Rozovskiĭ, “Probabilities of Large Deviations of Sums of Independent Random Variables with a Common Distribution which Belongs to the Domain of Attraction of the Normal Law”, Teor. Veroyatnost. i Primenen., 34:4 (1989), 686–705 ; Theory Probab. Appl., 34:4 (1989), 625–644 |
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| 62. |
L. V. Rozovskii, “Rate of Convergence in the Weak Law of Large Numbers”, Teor. Veroyatnost. i Primenen., 34:2 (1989), 392–395 ; Theory Probab. Appl., 34:2 (1989), 348–351 |
| 63. |
L. V. Rozovsky, “On the normal approximation ocuracy”, Zap. Nauchn. Sem. LOMI, 177 (1989), 129–137 ; J. Soviet Math., 61:1 (1992), 1911–1918 |
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1988 |
| 64. |
L. V. Rozovskii, “Asymptotic expansion of the Fourier–Stieltjes transform of a finite measure in a neighborhood of zero”, Mat. Zametki, 43:4 (1988), 558–572 ; Math. Notes, 43:4 (1988), 321–329 |
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1987 |
| 65. |
L. V. Rozovskii, “An estimate for probabilities of large deviations”, Mat. Zametki, 42:1 (1987), 145–156 ; Math. Notes, 42:1 (1987), 590–597 |
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1986 |
| 66. |
L. V. Rozovskii, “Normal approximation for calculating the rate of convergence in the weak law of large numbers”, Mat. Zametki, 40:2 (1986), 252–268 ; Math. Notes, 40:2 (1986), 644–654 |
1
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| 67. |
L. V. Rozovskiĭ, “On the accuracy of approximation in limit theorems for large deviations”, Teor. Veroyatnost. i Primenen., 31:2 (1986), 301–314 ; Theory Probab. Appl., 31:2 (1987), 255–268 |
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1985 |
| 68. |
L. V. Rozovskii, “A problem of A. N. Kolmogorov”, Dokl. Akad. Nauk SSSR, 283:2 (1985), 313–314 |
| 69. |
L. V. Rozovsky, “Some estimates of probabilities of large deviations”, Teor. Veroyatnost. i Primenen., 30:4 (1985), 800–804 ; Theory Probab. Appl., 30:4 (1986), 850–855 |
2
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| 70. |
L. V. Rozovskii, “Accuracy of the approximation of the characteristic functions by polynomials”, Zap. Nauchn. Sem. LOMI, 142 (1985), 141–144 ; J. Soviet Math., 36:4 (1987), 532–535 |
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1983 |
| 71. |
L. V. Rozovskii, “On the probability of large deviations of sums of independent identically distributed random variables”, Dokl. Akad. Nauk SSSR, 273:2 (1983), 301–306 |
| 72. |
L. V. Rozovskii, “Estimates of the rate of convergence in the strong law of large numbers”, Mat. Zametki, 34:6 (1983), 883–896 ; Math. Notes, 34:6 (1983), 937–944 |
| 73. |
L. V. Rozovskii, “The probabilities of large deriations on Borel sets”, Zap. Nauchn. Sem. LOMI, 130 (1983), 157–166 |
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1981 |
| 74. |
L. V. Rozovskiĭ, “On limit theorems on large deviations in narrow zones”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 847–857 ; Theory Probab. Appl., 26:4 (1982), 834–845 |
8
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| 75. |
L. V. Rozovskiĭ, “On the rate of convergence in the strong law of large numbers”, Teor. Veroyatnost. i Primenen., 26:1 (1981), 138–143 ; Theory Probab. Appl., 26:1 (1981), 135–140 |
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1980 |
| 76. |
L. V. Rozovskii, “Convergence rate to a normal law in an integral metric”, Mat. Zametki, 27:2 (1980), 307–316 ; Math. Notes, 27:2 (1980), 152–157 |
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1978 |
| 77. |
L. V. Rozovskii, “A lower bound of the remainder term in the central limit theorem”, Mat. Zametki, 24:3 (1978), 403–410 ; Math. Notes, 24:3 (1978), 715–719 |
4
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| 78. |
L. V. Rozovskii, “An estimate of the speed of convergence in the multidmensional central limit theorem without moment hypotheses”, Mat. Zametki, 23:4 (1978), 627–640 ; Math. Notes, 23:4 (1978), 343–351 |
1
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| 79. |
L. V. Rozovskiĭ, “On the accuracy of the remainder term estimation in the central limit theorem”, Teor. Veroyatnost. i Primenen., 23:4 (1978), 744–761 ; Theory Probab. Appl., 23:4 (1979), 712–730 |
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| 80. |
L. V. Rozovskiĭ, “On asymptotic behaviour of the remainder term in the central limit theorem”, Teor. Veroyatnost. i Primenen., 23:1 (1978), 109–119 ; Theory Probab. Appl., 23:1 (1978), 106–116 |
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1977 |
| 81. |
L. V. Rozovskii, “Properties of asymptotic expansions”, Mat. Zametki, 22:6 (1977), 907–914 ; Math. Notes, 22:6 (1977), 996–1001 |
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1975 |
| 82. |
L. V. Rozovskii, “Asymptotic expansions in the central limit theorem”, Teor. Veroyatnost. i Primenen., 20:4 (1975), 810–820 ; Theory Probab. Appl., 20:4 (1976), 782–793 |
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1974 |
| 83. |
L. V. Rozovskii, “Local limit theorems in $L_p$”, Mat. Zametki, 16:6 (1974), 951–956 ; Math. Notes, 16:6 (1974), 1163–1166 |
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2006 |
| 84. |
A. A. Borovkov, A. A. Mogul'skii, L. V. Rozovskii, A. I. Sakhanenko, “On Zhulev's paper “On large deviations. II””, Teor. Veroyatnost. i Primenen., 51:2 (2006), 445–446 ; Theory Probab. Appl., 51:2 (2007), 398–400 |
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