Class information for:
Level 1: SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12830 878 17.1 32%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
1414 2             COMPLETE CONVERGENCE//STATISTICS & PROBABILITY//EXTREMES 8000
12830 1                   SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY 878

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SMALL DEVIATIONS authKW 899352 5% 63% 41
2 SMALL BALL PROBABILITY authKW 755676 4% 59% 37
3 LARGE DEVIATION PROBABILITY authKW 326022 2% 63% 15
4 QUANTILE PROCESS authKW 294909 2% 40% 21
5 FUNCTIONAL QUANTIZATION authKW 247522 1% 65% 11
6 VERVAAT PROCESS authKW 234739 1% 75% 9
7 LAW OF THE ITERATED LOGARITHM authKW 234464 6% 14% 49
8 LARGE INCREMENTS authKW 217348 1% 63% 10
9 ERDOS RENYI LAW authKW 216681 1% 69% 9
10 LORENZ PROCESS authKW 178851 1% 86% 6

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Statistics & Probability 60685 64% 0% 559
2 Mathematics 3862 29% 0% 258
3 Mathematics, Applied 412 10% 0% 86
4 Multidisciplinary Sciences 18 1% 0% 9
5 Automation & Control Systems 5 1% 0% 8
6 Computer Science, Cybernetics 0 0% 0% 1
7 Computer Science, Theory & Methods 0 1% 0% 7
8 Social Sciences, Mathematical Methods -0 0% 0% 1
9 Computer Science, Information Systems -0 1% 0% 5
10 Instruments & Instrumentation -0 1% 0% 7

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LSTA 122323 3% 12% 29
2 FB MATH 4 51202 1% 16% 9
3 BEDFORD NEW MATH 34777 0% 100% 1
4 CNAMSMBHUMR 557U1125 34777 0% 100% 1
5 FB MATHEMAT 6 34777 0% 100% 1
6 INRACNAMSMBHUMR U557 34777 0% 100% 1
7 INSAT LAMSIN 34777 0% 100% 1
8 MA FAK 7 5 2 34777 0% 100% 1
9 PL MATHEMATH PROBABIL THEORY 34777 0% 100% 1
10 U1125UMR 557INRACNAM 34777 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ANNALS OF PROBABILITY 87799 10% 3% 90
2 JOURNAL OF THEORETICAL PROBABILITY 61365 5% 4% 45
3 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 45925 3% 5% 28
4 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 36890 7% 2% 60
5 THEORY OF PROBABILITY AND ITS APPLICATIONS 35971 5% 2% 45
6 PROBABILITY THEORY AND RELATED FIELDS 26337 5% 2% 42
7 STATISTICS & PROBABILITY LETTERS 22723 8% 1% 69
8 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 14857 2% 3% 16
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 8265 5% 1% 45
10 JOURNAL OF MULTIVARIATE ANALYSIS 7070 3% 1% 27

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SMALL DEVIATIONS 899352 5% 63% 41 Search SMALL+DEVIATIONS Search SMALL+DEVIATIONS
2 SMALL BALL PROBABILITY 755676 4% 59% 37 Search SMALL+BALL+PROBABILITY Search SMALL+BALL+PROBABILITY
3 LARGE DEVIATION PROBABILITY 326022 2% 63% 15 Search LARGE+DEVIATION+PROBABILITY Search LARGE+DEVIATION+PROBABILITY
4 QUANTILE PROCESS 294909 2% 40% 21 Search QUANTILE+PROCESS Search QUANTILE+PROCESS
5 FUNCTIONAL QUANTIZATION 247522 1% 65% 11 Search FUNCTIONAL+QUANTIZATION Search FUNCTIONAL+QUANTIZATION
6 VERVAAT PROCESS 234739 1% 75% 9 Search VERVAAT+PROCESS Search VERVAAT+PROCESS
7 LAW OF THE ITERATED LOGARITHM 234464 6% 14% 49 Search LAW+OF+THE+ITERATED+LOGARITHM Search LAW+OF+THE+ITERATED+LOGARITHM
8 LARGE INCREMENTS 217348 1% 63% 10 Search LARGE+INCREMENTS Search LARGE+INCREMENTS
9 ERDOS RENYI LAW 216681 1% 69% 9 Search ERDOS+RENYI+LAW Search ERDOS+RENYI+LAW
10 LORENZ PROCESS 178851 1% 86% 6 Search LORENZ+PROCESS Search LORENZ+PROCESS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 FATALOV, VR , (2003) CONSTANTS IN THE ASYMPTOTICS OF SMALL DEVIATION PROBABILITIES FOR GAUSSIAN PROCESSES AND FIELDS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 58. ISSUE 4. P. 725 -772 38 66% 10
2 ZAITSEV, AY , (2013) THE ACCURACY OF STRONG GAUSSIAN APPROXIMATION FOR SUMS OF INDEPENDENT RANDOM VECTORS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 4. P. 721 -761 23 79% 0
3 LIN, ZY , ZHANG, LX , (1999) INCREMENTS AND SAMPLE PATH PROPERTIES OF GAUSSIAN PROCESSES.CHINESE SCIENCE BULLETIN. VOL. 44. ISSUE 18. P. 1633 -1641 29 88% 0
4 VARRON, D , (2016) FUNCTIONAL LIMIT LAWS FOR LOCAL EMPIRICAL PROCESSES IN A SPATIAL SETTING.STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS. VOL. 88. ISSUE 3. P. 373 -395 18 86% 0
5 AURZADA, F , (2011) PATH REGULARITY OF GAUSSIAN PROCESSES VIA SMALL DEVIATIONS.PROBABILITY AND MATHEMATICAL STATISTICS-POLAND. VOL. 31. ISSUE 1. P. 61 -78 18 95% 0
6 BERTHET, P , (2005) INNER RATES OF COVERAGE OF STRASSEN TYPE SETS BY INCREMENTS OF THE UNIFORM EMPIRICAL AND QUANTILE PROCESSES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 115. ISSUE 3. P. 493 -537 19 100% 3
7 VARRON, D , (2011) SOME NEW ALMOST SURE RESULTS ON THE FUNCTIONAL INCREMENTS OF THE UNIFORM EMPIRICAL PROCESS.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 121. ISSUE 2. P. 337-356 17 89% 0
8 FATALOV, VR , (2010) SMALL DEVIATIONS FOR TWO CLASSES OF GAUSSIAN STATIONARY PROCESSES AND L-P-FUNCTIONALS, 0 < P <= INFINITY.PROBLEMS OF INFORMATION TRANSMISSION. VOL. 46. ISSUE 1. P. 62-85 20 74% 1
9 BERTHET, P , (2010) FUNCTIONAL CHUNG LAWS FOR SMALL INCREMENTS OF THE EMPIRICAL PROCESS AND A LOWER BOUND IN THE STRONG INVARIANCE PRINCIPLE.PERIODICA MATHEMATICA HUNGARICA. VOL. 61. ISSUE 1-2. P. 67 -102 14 100% 0
10 DEHEUVELS, P , OUADAH, S , (2013) UNIFORM-IN-BANDWIDTH FUNCTIONAL LIMIT LAWS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 26. ISSUE 3. P. 697-721 15 83% 2

Classes with closest relation at Level 1


Rank Class id link
1 37376 UNIVERSAL TESTING SEQUENCE//DECIDABILITY IN THE LIMIT//WEAK CONFORMANCE
2 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
3 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
4 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
5 15512 SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME
6 34905 SANTA FE BAR PROBLEM//POTLUCK PROBLEM//WEIGHTED MAJORITY ALGORITHM
7 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
8 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
9 18422 EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA
10 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS

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