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Список литературы
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| 1. |
V.I. Lotov, “On some boundary crossing problems for Gaussian random walks”, Ann. Probab., 24:4 (1996), 2154–2171    |
| 2. |
Ya.G. Sinai, “On the distribution of the first positive sum for the sequence of independent random variables”, Teor. Veroyatn. Primen., 2:1 (1957), 126–135  |
| 3. |
B.A. Rogozin, “On the distribution of the first jump”, Teor. Veroyatn. Primen., 9:3 (1964), 498–515 |
| 4. |
B.A. Rogozin, “The distribution of the first ladder moment and height and fluctuation of a random walk”, Theory Probab. Appl., 16:4 (1971), 575–595 |
| 5. |
R.A. Doney, “Moments of ladder height in random walks”, J. Appl. Probab., 17:1 (1980), 248–252 |
| 6. |
R.A. Doney, “On the asymptotic behaviour of first passage times for transient random walk”, Probab. Theory Relat. Fields, 18:2 (1989), 239–246 |
| 7. |
A.V. Nagaev, “On a method of calculating moments of ladder heights”, Theory Probab. Appl., 30:3 (1986), 569–572 |
| 8. |
S.V. Nagaev, “Exact expressions for the moments of ladder heights”, Sib. Math. J., 51:4 (2010), 675–695 |
| 9. |
T.V. Lazovskaya, S.V. Nagaev, “Problems in calculating moments and distribution functions of ladder heights”, J. Math. Sci., New York, 218:2 (2016), 195–207 |
| 10. |
A.A. Borovkov, Probability Theory, Springer, London, 2013 |
| 11. |
W. Feller, An introduction to Probability Theory and its applications, v. 2, John Wiley and Sons, New York etc., 1971 |
| 12. |
S.J. Wolfe, “On moments of probability distributions functions”, Lect. Notes Math., 457, 1975, 306–316 |
| 13. |
I.S. Gradshteyn, I.M. Ryzhik, Table of integrals, series, and products, Academic Press, Amsterdam, 2007 |
| 14. |
F. Spitzer, Principles of random walk, Springer-Verlag, New York etc, 1976 |
| 15. |
A.V. Skorokhod, N.P. Slobodenyuk, Limit theorems for random walks, Naukova Dumka, Kiev, 1970 |
| 16. |
A.N. Borodin, I.A. Ibragimov, “Limit theorems for functionals of random walks”, Proc. Steklov Inst. Math., 195 (1995), AMS, Providence |
| 17. |
A.T. Semenov, “Asymptotic expansion for distribution of linger time of a random walk in a segment”, Sib. Math. J., 15:4 (1974), 650–658 |
| 18. |
V.I. Lotov, “On the sojourn time of a random walk in a strip”, Sib. Math. J., 51:4 (2010), 621–638 |
| 19. |
V.I. Lotov, “Factorization identities for the sojourn time of a random walk in a strip”, Sib. Math. J., 51:1 (2010), 119–127 |
