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1. Full Text On inequalities for values of first jumps of distribution functions and Hölder's inequality
by Frolov, Andrei N
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 | EVENTS | Borel-Cantelli lemma | STATISTICS & PROBABILITY | Chung-Eras inequality | STRINGENT BOUNDS | INTERSECTION | Holder inequality | SYSTEMS | UNION | PROBABILITIES | Distribution (Probability theory) | Equality
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2. Full Text On Esseen type inequalities for combinatorial random sums
by Frolov, Andrei N
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
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3. Full Text On inequalities for values of first jumps of distribution functions and Hölder’s inequality
by Frolov, Andrei N
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
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4. On lower and upper bounds for probabilities of unions and the Borel-Cantelli lemma
by Frolov, Andrei N
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
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5. Full Text Bounds of the remainder in a combinatorial central limit theorem
by Frolov, Andrei N
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
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6. Full Text Esseen type bounds of the remainder in a combinatorial CLT
by Frolov, Andrei N
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
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7. Full Text Bounds for probabilities of unions of events and the Borel–Cantelli lemma
by Frolov, Andrei N
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
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8. Full Text Onset of oviposition triggers abrupt reduction in migratory flight behavior and flight muscle in the female beet webworm, Loxostege sticticalis
by Cheng, Yunxia and Luo, Lizhi and Sappington, Thomas W and Jiang, Xingfu and Zhang, Lei and Frolov, Andrei N
PLoS ONE, ISSN 1932-6203, 11/2016, Volume 11, Issue 11, p. e0166859
Flight and reproduction are usually considered as two life history traits that compete for resources in a migratory insect. The beet webworm, Loxostege... 
DISPERSAL | WING-DIMORPHIC CRICKET | PERFORMANCE | MULTIDISCIPLINARY SCIENCES | LEPIDOPTERA-PYRALIDAE | INSECTS | EGG-PRODUCTION | HISTOLYSIS | REPRODUCTION | COTTON | BREAKDOWN | Flight, Animal - physiology | Animals | Moths - physiology | Animal Migration | Female | Male | Oviposition - physiology | Triglycerides - metabolism | Oviposition | Research | Flights | Aeronautics | Epidemics | Life history | Flight muscle | Histolysis | Laboratories | Flight | Migration | Muscles | Biology | Eggs | Plant diseases | Flight behavior | Reproduction | Insects | Physiology | Adults | Females | Age | Egg production
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9. Full Text Natural infection of the beet webworm Loxostege sticticalis L. (Lepidoptera: Crambidae) with three Microsporidia and host switching in Nosema ceranae
by Malysh, Julia M and Ignatieva, Anastasia N and Artokhin, Konstantin S and Frolov, Andrei N and Tokarev, Yuri S
Parasitology Research, ISSN 0932-0113, 9/2018, Volume 117, Issue 9, pp. 3039 - 3044
Three species of Microsporidia were identified from a population of the beet webworm Loxostege sticticalis at prevalence rates of 35, 4, and 3%. The most... 
Prevalence rate | Medical Microbiology | Biomedicine | Immunology | Microbiology | Molecular identification | Genetic diversity | Beet webworm | Microsporidia | Host switching | PARASITOLOGY | Nosema - classification | Animals | Lepidoptera - microbiology | Nosema - genetics | Nosema - isolation & purification | Spores, Fungal - isolation & purification | Larva - microbiology | Bees | Honeybee | Genetic aspects | Research | Nucleotide sequencing | DNA sequencing
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10. Full Text On large deviations for combinatorial sums
by Frolov, Andrei N
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
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11. Full Text Small deviations of iterated processes in the space of trajectories
by Frolov, Andrei N
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
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12. Full Text Reconsidering the taxomony of several Ostrinia species in the light of reproductive isolation: a tale for Ernst Mayr
by FROLOV, ANDREI N and BOURGUET, DENIS and PONSARD, SERGINE
Biological Journal of the Linnean Society, ISSN 0024-4066, 05/2007, Volume 91, Issue 1, pp. 49 - 72
We reconsider the taxonomy of a group of closely related Ostrinia spp., illustrating how useful Mayr's biological species concept remains for studying... 
Ostrinia narynensis | host-races | Ostrinia nubilalis | Ostrinia orientalis | taxonomy | biological species concept | Ostrinia scapulalis | Ostrinia furnacalis | speciation | host‐races | Host-races | Taxonomy | Biological species concept | Speciation | ALLOZYME DIFFERENTIATION | HOST-PLANT RACES | SEX-PHEROMONE | EVOLUTIONARY BIOLOGY | EUROPEAN CORN-BORER | PHYLOGENETIC-RELATIONSHIPS | SYMPATRIC SPECIATION | ADZUKI BEAN BORER | NUBILALIS HUBNER | GENETIC ISOLATION | LEPIDOPTERA
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13. Tubulinosema loxostegi sp. n. (Microsporidia: Tubulinosematidae) from the beet webworm Loxostege sticticalis L. (Lepidoptera: Crambidae) in Western Siberia
by Malysh, Julia M and Tokarev, Yuri S and Sitnicova, Natalia V and Martemyanov, Vyacheslav V and Frolov, Andrei N and Issi, Irma V
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
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14. Full Text Reconsidering the taxomony of several Ostrinia species in the light of reproductive isolation: a tale for Ernst Mayr
: OSTRINIA AND THE BIOLOGICAL SPECIES CONCEPT
by FROLOV, ANDREI N and BOURGUET, DENIS and PONSARD, SERGINE
Biological Journal of the Linnean Society, ISSN 0024-4066, 05/2007, Volume 91, Issue 1, pp. 49 - 72
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15. Full Text Converses to the CsorgA'-Revesz laws
by Frolov, Andrei N
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... 
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16. Full Text Redefinition of Nosema pyrausta (Perezia pyraustae Paillot 1927) basing upon ultrastructural and molecular phylogenetic studies
by Tokarev, Yuri S and Malysh, Julia M and Kononchuk, Anastasia G and Seliverstova, Elena V and Frolov, Andrei N and Issi, Irma V
Parasitology Research, ISSN 0932-0113, 2/2015, Volume 114, Issue 2, pp. 759 - 761
Populations of European corn borer (Ostrinia nubilalis Hübner) from Krasnodar Territory (Southwestern Russia) become regularly infected with Nosema-like... 
Medical Microbiology | Biomedicine | Immunology | Microbiology | SSU rRNA | Molecular identification | European corn borer | Electron microscopy | Microsporidia | DIPTERA | OSTRINIA-NUBILALIS | EUROPEAN CORN-BORER | PARASITE | TUBULINOSEMATIDAE | PARASITOLOGY | Haplotypes | Nosema - classification | Nosema - ultrastructure | Moths - microbiology | DNA, Fungal - genetics | Europe | Nosema - genetics | Phylogeny | North America | Russia | Animals | Spores, Fungal - ultrastructure | Base Sequence | China | Genes, Fungal | Genes, rRNA | RNA, Fungal - genetics | Microbiological research | Genetic research | Genetic aspects | Research | Health aspects
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17. Full Text Converses to the Csörgő–Révész laws
by Frolov, Andrei N
Statistics and Probability Letters, ISSN 0167-7152, 2005, Volume 72, Issue 2, pp. 113 - 123
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... 
Strong approximation laws | Csörgő–Révész laws | Law of the iterated logarithm | One-sided strong laws | Increments of sums of independent random variables | Large increments | Erdős–Rényi law | Erdos-Rényi law | Csörgo-Révész laws | LARGE NUMBERS | increments of sums of independent random variables | UNIVERSAL LAW | STATISTICS & PROBABILITY | ITERATED LOGARITHM | SUMS | INCREMENTS | Oone-sided strong laws | law of the iterated logarithm | Csorgo-Revesz laws | large increments | Erdos-Renyi law | SIDED STRONG LAWS | strong approximation laws | Law of the iterated logarithm One-sided strong laws Erdös-Rényi law Csorgo-Revesz laws Strong approximation laws Increments of sums of independent random variables Large increments
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18. Tubulinosema loxostegi sp. n. (Microsporidia: Tubulinosematidae) from the Beet Webworm Loxostege sticticalis L. (Lepidoptera: Crambidae) in Western Siberia
by Malysh, Julia M and Tokarev, Yuri S and Sitnicova, Natalia V and Martemya-Nov, Vyacheslav V and Frolov, Andrei N and Issi, Irma V
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... 
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19. Full Text Genetic polymorphism of natural isolates of nosema pyrausta (Microsporidia: Nosematidae)
by Grushevaya, I.V and Ignatieva, A.N and Malysh, J.M and Trepashko, L.I and Tokarev, Y.S and Frolov, A.N
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
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20. Full Text Prevalence rates of Wolbachia endosymbiotic bacterium in natural populations of Ostrinia nubilalis and Ostrinia scapulalis (Lepidoptera: Pyraloidea: Crambidae) in south-western Russia
by Tokarev, Y.S and Yudina, M.A and Malysh, J.M and Bykov, R.A and Frolov, A.N and Grushevaya, I.V and Ilinsky, Y.Y
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
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