@article{ZNSL_2006_339_a3,
author = {A. I. Martikainen and A. N. Frolov},
title = {On the {Chung} law for compound renewal processes},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {54--62},
year = {2006},
volume = {339},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a3/}
}
A. I. Martikainen; A. N. Frolov. On the Chung law for compound renewal processes. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 10, Tome 339 (2006), pp. 54-62. http://geodesic.mathdoc.fr/item/ZNSL_2006_339_a3/
[1] K. L. Chung, “On the maximum partial sums of sequences of independent random variables”, Trans. Amer. Math. Soc., 64 (1948), 205–233 | DOI | MR | Zbl
[2] N. C. Jain, W. E. Pruitt, “The other law of the iterated logarithm”, Ann. Probab., 3 (1975), 1046–1049 | DOI | MR | Zbl
[3] E. Csáki, “On the lower limits of maxima and minima of Wiener process and partial sums”, Z. Wahrsch. Verw. Geb., 43 (1978), 205–221 | DOI | MR | Zbl
[4] P. Embrekhts, K. Klyuppelberg, “Nekotorye aspekty strakhovoi matematiki”, Teoriya veroyatn. i ee primen., 30 (1993), 374–416 | MR
[5] A. I. Martikainen, A. N. Frolov, I. Shtainebakh, “O veroyatnostyakh malykh uklonenii obobschennykh protsessov vosstanovleniya”, Teoriya veroyatn. i ee primen. (to appear)
[6] A. N. Frolov, A. I. Martikainen, J. Steinebach, “On Chung's LIL and Csaki law for renewal processes”, Periodica Math. Hungar., 41:1–2 (2000), 149–155 | DOI | MR | Zbl
[7] A. N. Frolov, A. I. Martikainen, J. Steinebach, “Limit theorems for maxima of sums and renewal processes”, Zap. nauchn. semin. POMI, 278, 2001, 261–274 | MR | Zbl