List of publications devoted to Large deviations

  1. Linnik Yu.V.
    Limit theorems for sums of independent variables taking into account large deviations. I-III.
    Theor. Probability Appl. 6, 1961, 6, 131-148, 345360, 7, 115-129.

  2. 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.

  3. Nagaev S. V.
    Local limit theorems for large deviations.
    Theory Probab. Appl., 1960, 5, No 2, 234-235. PDF
    Original Russian Text@ Teor.Verojatn. i Primen., 1960, 5, No 2, 259-261.

  4. Nagaev S. V.
    Local limit theorems for large deviations.
    Vestnik Leningrad. Univ. Math., Mech., Astron., 1962, No 1, 80-88. (In Russian)

  5. Nagaev S. V.
    An integral limit theorem for large deviations.
    Selected Translations in Math. Stat. and Probab., 1968, 7, 165-175. PDF
    Original Russian Text@ Izv. Akad. Nauk UzSSR, Ser. Fiz-Mat. Nauk, 1962, No 6, 37-43.

  6. Nagaev S. V.
    An integral limit theorem for large deviations.
    Soviet Mathematics Dokl., 1963, 139, No 1, 79-80. PDF
    Original Russian Text@ Dokl. Akad. Nauk SSSR, 1963, 148, No 1, 280.

  7. Nagaev A. V.
    Limit theorems for large deviations where Cramer's conditions are violated//
    Izv. Akad. Nauk UzSSR, Ser. Fiz-Mat. Nauk, 1969, No 6, 17-22.

  8. Nagaev A. V.
    On one property of sums independent random variables.
    Teor. Verojatn. i Primen., 1977, 22, No 2, 335-346.

  9. 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.

  10. Nagaev A. V.
    Integral limit theorems for large of deviations when Cramer's condition is not fulfilled. I, II.
    Theory Probab. Appl., 1969, 14, No 1, 51-64; No 2, 193-208.
    Original Russian Text@ Teor. Verojatn. i Primen., 1969, 14, No 1, 51-64; No 2, 203-215.

  11. Nagaev S. V.
    Large deviations for sums of independent random variables.
    Trans. Sixth Prague Conf. Inform. Theory. Statist. Decision Functions. Random Processes, Prague, 1973, 657-674. PDF

  12. Nagaev S. V.
    Large deviations of sums of independent random variables.
    Ann. Prob., 1979, 7, No 5, 745-789. PDF

  13. Ibragimov I. A., Linnik Yu. V.
    Independent and stationary sequences of random. 1971, 438.

  14. Michel R.
    Results on probabilities of moderete deviations.
    Ann. Prob., 1974, 2, 349-353.

  15. Bikjalis A.
    The bound of the remainder term in the central limit theorem.
    Litovsk. Mat. Sb. 1966, 6, No 3, 323-346. (In Russian)

  16. Osipov L. V.
    On probabilities of large deviations of sums of independent random variables.
    Theory Probab. Appl., 1972, 17, No 2, 309-331.
    Original Russian Text@ Teor. Verojatn. i Primen., 1972, 17, No 2, 320-341.

  17. Borovkov A. A.
    Estimates for the distribution of sums and maxima of sums of random variables mihout the Cramer condition.
    Sib. Math. Zh., 2000, 41, No 5, 997-1038. (In Russian)

  18. Borovkov A. A.
    Large deviations probabilities for random walks with semiexponential distributions.
    Sib. Math. Zh., 2000, 41, No 6, 1290-1324. (In Russian)

  19. Cramer H. Sur un nouveau theorlimite de theorie des probabilites.
    Actuel sci. et. ind., Paris, 1938, N 736 (UMN, X, 166-178, 1944).

  20. Richter V.
    Local limit theorems for large deviations.
    Teor. Verojatn. i Primen., 1957, 117, No 3, 214-229. (In Russian)