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Statistics and Probability Letters, ISSN 0167-7152, 07/2017, Volume 126, pp. 150 - 156
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 06/2017, Volume 46, Issue 12, pp. 5932 - 5940
We derive new bounds of the remainder in a combinatorial central limit theorem with a random number of summands. Esseen type inequalities are obtained for... 
random sums | Esseen inequality | Berry-Esseen inequality | combinatorial central limit theorem | 60F05 | Berry–Esseen inequality | REMAINDER | BOUNDS | STATISTICS & PROBABILITY | CENTRAL-LIMIT-THEOREM | Theorems | Random variables
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 07/2017, Volume 126, pp. 150 - 156
We derive moments inequalities for values of jumps of distribution functions at the infimum points for bounded discrete random variables. We discuss... 
Bounds for probabilities of unions of events | Hölder inequality | Chung–Erdős inequality | Jumps of distribution function | Bonferroni inequalities | Borel–Cantelli lemma
Journal Article
Studia Scientiarum Mathematicarum Hungarica, ISSN 0081-6906, 03/2015, Volume 52, Issue 1, pp. 102 - 128
We obtain new lower and upper bounds for probabilities of unions of events. These bounds are sharp. They are stronger than earlier ones. General bounds may be... 
Borel-Cantelli lemma | Chung-Erdos inequality | bounds for probabilities of unions of events | measure of unions | Bonferroni inequalities | MATHEMATICS | EVENTS | INEQUALITY
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 10/2015, Volume 105, pp. 37 - 46
We derive new bounds of the remainder in a combinatorial central limit theorem without assumptions on independence and existence of moments of summands. For... 
Combinatorial central limit theorem | Esseen inequality | Berry–Esseen inequality | Berry-Esseen inequality | STATISTICS & PROBABILITY
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 06/2014, Volume 149, pp. 90 - 97
We derive Esseen type bounds of the remainder in a combinatorial central limit theorem for independent random variables without third moments. 
Combinatorial central limit theorem | Esseen inequality | Berry–Esseen inequality | Berry-Esseen inequality | STATISTICS & PROBABILITY | CENTRAL-LIMIT-THEOREM | Mathematics - Probability
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 12/2012, Volume 82, Issue 12, pp. 2189 - 2197
We discuss a method which yields new bounds for probabilities of unions of events. These bounds are stronger than the Chung–Erdős inequality and its... 
The Chung–Erdős inequality | The Borel–Cantelli lemma | Bounds for unions of events | The Borel-Cantelli lemma | The Chung-Erdos inequality | STATISTICS & PROBABILITY
Journal Article
01/2019
We investigate asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are... 
Mathematics - Probability
Journal Article
Central European Journal of Mathematics, ISSN 1895-1074, 12/2013, Volume 11, Issue 12, pp. 2089 - 2098
We derive logarithmic asymptotics of probabilities of small deviations for iterated processes in the space of trajectories. We find conditions under which... 
Geometry | Compound process | 60G99 | Algebra | 60F99 | Topological Groups, Lie Groups | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | Number Theory | Small deviation probability | Iterated process | MATHEMATICS | LAWS | GAUSSIAN-PROCESSES | LOGARITHM | PROBABILITIES | Mathematics - Probability
Journal Article
Biological Journal of the Linnean Society, ISSN 0024-4066, 05/2007, Volume 91, Issue 1, pp. 49 - 72
Journal Article
Acta Protozoologica, ISSN 0065-1583, 2013, Volume 52, Issue 4, pp. 299 - 308
An adults of beet webworm Loxostege sticticalis were collected in Western Siberia in 2009 and 2010. A microsporidium was found infecting 12 of 50 moths in... 
Tubulinosema | Molecular phylogenetics | Taxonomy | Beet webworm | Microsporidia
Journal Article
Biological Journal of the Linnean Society, ISSN 0024-4066, 05/2007, Volume 91, Issue 1, pp. 49 - 72
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 04/2005, Volume 72, Issue 2, p. 113
We obtain converses to the one-sided strong laws for large increment of sums of independent identically distributed (i.i.d.) random variables with a... 
Journal Article
Acta Protozoologica, ISSN 0065-1583, 01/2013, Volume 52, Issue 4, pp. 299 - 299
An adults of beet webworm Loxostege sticticalis were collected in Western Siberia in 2009 and 2010. A microsporidium was found infecting 12 of 50 moths in... 
Journal Article
Ecological Genetics, ISSN 1811-0932, 2017, Volume 15, Issue 1, pp. 38 - 43
Background. Microsporidia are ubiquitous parasites of animals, most abundant in arthropods and fishes. Many species of these parasites are important from... 
Molecular markers | Microsporidia | Genetic polymorphism | microsporidia | molecular markers | genetic polymorphism
Journal Article
Ecological Genetics, ISSN 1811-0932, 2017, Volume 15, Issue 1, pp. 44 - 49
Background. Endosymbiotic bacteria of the genus Wolbachia are widespread in arthropods and often cause reproductive abnormalities in lepidopteran insects,... 
Corn borers | Forage plants | Molecular genetic detection | Wolbachia | Lepidoptera | molecular genetic detection | lepidoptera | forage plants | wolbachia | corn borers
Journal Article
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