List
of publications devoted to Probability inequalities
- Petrov V. V.
Limit theorems of probability theory.
Clarendon, 1995, 300 p.
- Bennet G.
Probability inequalities for the sum of independent random variables.
J. Amer. Statist. Assoc., 1962, 57, No 297, 33-45.
- Hoeffding W.
Probability inequalities for sums of bounded random variables.
J. Amer. Statist. Assoc., 1963, 58, No 301, 13-30.
- Prokhorov Yu. V.
One extremal problem of the theory of probability.
Theory Probab. Appl., 1959, 4, No 2, 201-203.
Original Russian Text@ Teor. Verojatn. i Primen., 1959, 4, No 2, 211-214.
- Nagaev S. V.
Some limit theorems for large deviations.
Theory Probab. Appl., 1965, 10, No 2, 214-235. PDF
Original Russian Text@ Teor. Verojatn. i Primen., 1965, 10, No 2, 231-254.
- Fuk Dao Kha, Nagaev S. V.
Probability inequalities for sums of independent random variables.
Theory Probab. Appl., 1971, 16, No 4, 643-660 (letter to editor: 1976, 21, No 4, 875). PDF
Original Russian Text@ Teor. Verojatn. i Primen., 1971, 16, No 4, 660-675 (letter to editor: 1976, 21, No 4, 896.)
- Nagaev S. V.
Large deviations of sums of independent random variables.
Ann. Prob., 1979, 7, No 5, 745-789. PDF
- Rosenthal H. P.
On the subspaces of Lp (p > 2) spanned by sequences of independent random variables.
Israel J. Math., 1970, 8, 273-303.
- Nagaev S. V., Pinelis I. F.
Some inequalities for the distributions of sums of independent random variables.
Probab. Appl., 1977, 22, No 2, 248-256. PDF
Original Russian Text@ Teor. Verojatn. i Primen., 1977, 22, No 2, 254-263.
- Nagaev S. V.
Some refinements of probabilistic and moment inequalities.
Theory Probab. Appl., 1997, 42, No 4, 707-713. PDF
Original Russian Text@ Teor. Verojatn. i Primen., 1997, 42, No 4, 832-838.
- Nagaev S. V.
On asymptotic behaviour of probabilities of one-sided large deviations.
Probab. Appl., 1981, 26, No 2, 362-366. PDF
Original Russian Text@Teor. Verojatn. i Primen., 1981, 26, No 2, 369-372.
- Tkachuk S. G.
Limit theorems for sums of independent random variables, belonging to the attraction domain of a stable law.
Ph.D., Tashkent, 1977. (In Russian.)
- Doney R. A.
One-sided large deviation theorems in the case of infinite mean.
Research report, Manchester Centre for Statistical Science, 1995.
- Doney R. A.
One-sided local large deviation and renewal theorems in the case of infinite mean.
Probab. Theory Relat. Fields, 1997, 107, 451-465.
- Spataru A.
Precise Asymptotics in Spitzer's Law of Large Numbers.
J. of Theor.Probab., 1999, 12, No 3, 811-819.
- Borovkov A. A.
Estimates for the distribution of sums and maxima of sums of random variables mihout the Cramer condition.
Sibirsk. Mat. Zh., 2000, 41, No 5, 997-1038. (In Russian)
- Nagaev S. V.
Lower bounds on large deviation probabilities for sums of independent random variables.
Theory Probab. Appl., 2001, 46, No 1, 79-102. PDF
Original Russian Text@ Teor. Verojatn. i Primen., 2001, 46, No 1, 50-73.
- Nagaev S. V., Sakojan S. K.
On a bound for a probability of large deviations.
In: Limit Theorems and Mathematical Statistics (In Russian), FAN, Tashkent, 1976, 132-140. PDF
- Feller W.
Generalization of a probability limit theorem of Cramer.
Trans. Amer. math.Soc., 1943, 54, N 3, 361-372.
- Lenart C.
On certain theorems of Berry and a limit theorem of Feller.
Mat.·Casopis, 1968, 18, No 1, 59-75.
- Nagaev S. V.
Lower bounds on probabilities of large deviations for sums of independent random variables.
Theory Probab. Appl., 2001, 46, No 4, 728-735. PDF
Original Russian Text@Teor. Verojatn. i Primen., 2001, 46, No 4, 785-792.
- Nagaev S. V.
Probabilities of large deviations in Banach spaces.
Math. Notes, 1983, 34, No 2, 638-640. PDF
Original Russian Text@ Mat. Zametki, 1983, 34, No 2, 309-313.
- Pinelis I. F.
Optimum bounds for the distributions of martingales in Banach spaces.
Ann. Probab., 1994, 7, 745-789.
- Johnson W. B., Schechtman G., and Zinn J.
Best possible constants in moment inequalities for linear combinations of independent and exchangeable variables.
Ann. Probab., 1991, 13, 234-253.
- Ibragimov R., Sharakhmetov Sh.
The sharp constant in the Rosenthal inequality for random variables with zero mean.
Theory Probab. Appl., 2001, 46, No 1, 127-131.
Original Russian Text @ Teor.Verojatn. i Primen., 2001, 46, No 1, 134-137.
- Prokhorov Yu. V.
Strong stability of sums and infinitely divisible distributions.
Theor. Probab. Appl., 1958, 3, 141-153.
- Prokhorov Yu. V.
On the strong law of large numbers.
Izv. Akad. Nauk SSSR, Ser. Mat. (in Russian), 1950, 14, 523-536.
- Prokhorov Yu. V.
Some remarks on the strong law of large numbers.
Theor. Probab. Appl., 1959, 4, 204-208.
- Nagaev S. V.
On sufficient and necessary conditions for the strong law of large numbers.
Theory Probab. Appl., 1972, 17, No 4, 573-581. PDF
Original Russian Text @ Teor. Verojatn. i Primen., 1972, 17, No 4, 609-618.
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