Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 237-251
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L. V. Rozovsky. Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 237-251. http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a12/
@article{ZNSL_2013_412_a12,
author = {L. V. Rozovsky},
title = {Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {237--251},
year = {2013},
volume = {412},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a12/}
}
TY - JOUR
AU - L. V. Rozovsky
TI - Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2013
SP - 237
EP - 251
VL - 412
UR - http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a12/
LA - ru
ID - ZNSL_2013_412_a12
ER -
%0 Journal Article
%A L. V. Rozovsky
%T Small deviation probabilities for sums of independent positive random variables with distributions which are slowly varying at zero
%J Zapiski Nauchnykh Seminarov POMI
%D 2013
%P 237-251
%V 412
%U http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a12/
%G ru
%F ZNSL_2013_412_a12
In the note we study small deviation probabilities for sums of independent identically distributed positive random variables whose distribution function is slowly varying at zero.
[1] T. Höglund, “A unified formulation of the central limit theorem for small and large deviations from the mean”, Z. Wahrscheinlichkeitstheor. verw. Geb., 49 (1979), 105–117 | DOI | MR | Zbl
[2] L. V. Rozovskii, “Veroyatnosti malykh uklonenii dlya odnogo klassa raspredelenii so stepennym ubyvaniem v nule”, Zap. nauchn. semin. POMI, 328, 2005, 182–190 | MR | Zbl
[4] V. V. Petrov, Summy nezavisimykh sluchainykh velichin, Nauka, M., 1972 | MR
[5] L. V. Rozovsky, “Remarks on a link between Laplace transform and distribution function of a nonnegative random variable”, Statistics and Probability Letters, 79 (2009), 1501–1508 | DOI | MR | Zbl