Class information for:
Level 1: INTEGRO LOCAL THEOREM//LOCAL LARGE DEVIATION PRINCIPLE//SUPERLARGE DEVIATIONS

Basic class information

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
12 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, INFORMATION SYSTEMS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE 1181119
23 3       STATISTICS & PROBABILITY//STAT//COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 119395
1242 2             STATISTICS & PROBABILITY//COMPLETE CONVERGENCE//THEORY OF PROBABILITY AND ITS APPLICATIONS 9268
34663 1                   INTEGRO LOCAL THEOREM//LOCAL LARGE DEVIATION PRINCIPLE//SUPERLARGE DEVIATIONS 122

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRO LOCAL THEOREM authKW 2092522 7% 90% 9
2 LOCAL LARGE DEVIATION PRINCIPLE authKW 2066691 7% 100% 8
3 SUPERLARGE DEVIATIONS authKW 1328585 5% 86% 6
4 DEVIATION FUNCTION authKW 1054867 6% 58% 7
5 DEVIATION RATE FUNCTION authKW 1033345 3% 100% 4
6 EXTENDED LARGE DEVIATION PRINCIPLE authKW 1033345 3% 100% 4
7 DEVIATION FUNCTIONAL authKW 775009 2% 100% 3
8 SOBOLEV MATH SO address 775009 2% 100% 3
9 TRIANGULAR ARRAY SCHEME authKW 775009 2% 100% 3
10 FUNCTION OF DEVIATIONS authKW 516673 2% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 8495 64% 0% 78
2 Mathematics 290 22% 0% 27
3 Operations Research & Management Science 116 7% 0% 9
4 Computer Science, Interdisciplinary Applications 59 7% 0% 8
5 Multidisciplinary Sciences 20 2% 0% 3
6 Physics, Mathematical 18 4% 0% 5
7 Management 0 1% 0% 1
8 Mathematics, Applied -0 1% 0% 1
9 Physics, Multidisciplinary -1 1% 0% 1
10 Engineering, Electrical & Electronic -2 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SOBOLEV MATH SO 775009 2% 100% 3
2 SIBERIAN MATH 114813 2% 22% 2
3 SL SOBOLEV MATH 114809 3% 11% 4
4 MATH IT LANDSC E ARCHITECTURE 86111 1% 33% 1
5 SIBIRIAN BRANCH 25832 1% 10% 1
6 EURANDOM 17217 2% 2% 3
7 GFM 10332 1% 4% 1
8 SOBOLEV MATH 9260 5% 1% 6
9 STOCHAST CHAOT PROC SCI TECHNOL 6980 1% 3% 1
10 MATH PL MATH STAT 5739 1% 2% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 THEORY OF PROBABILITY AND ITS APPLICATIONS 390236 45% 3% 55
2 SIBERIAN MATHEMATICAL JOURNAL 30056 16% 1% 19
3 QUEUEING SYSTEMS 14411 7% 1% 8
4 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 9564 2% 2% 2
5 MARKOV PROCESSES AND RELATED FIELDS 5582 2% 1% 2
6 PROBABILITY THEORY AND RELATED FIELDS 2729 4% 0% 5
7 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 2119 2% 0% 3
8 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 1603 1% 1% 1
9 JOURNAL OF MULTIVARIATE ANALYSIS 1129 3% 0% 4
10 RUSSIAN MATHEMATICAL SURVEYS 933 2% 0% 3

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INTEGRO LOCAL THEOREM 2092522 7% 90% 9 Search INTEGRO+LOCAL+THEOREM Search INTEGRO+LOCAL+THEOREM
2 LOCAL LARGE DEVIATION PRINCIPLE 2066691 7% 100% 8 Search LOCAL+LARGE+DEVIATION+PRINCIPLE Search LOCAL+LARGE+DEVIATION+PRINCIPLE
3 SUPERLARGE DEVIATIONS 1328585 5% 86% 6 Search SUPERLARGE+DEVIATIONS Search SUPERLARGE+DEVIATIONS
4 DEVIATION FUNCTION 1054867 6% 58% 7 Search DEVIATION+FUNCTION Search DEVIATION+FUNCTION
5 DEVIATION RATE FUNCTION 1033345 3% 100% 4 Search DEVIATION+RATE+FUNCTION Search DEVIATION+RATE+FUNCTION
6 EXTENDED LARGE DEVIATION PRINCIPLE 1033345 3% 100% 4 Search EXTENDED+LARGE+DEVIATION+PRINCIPLE Search EXTENDED+LARGE+DEVIATION+PRINCIPLE
7 DEVIATION FUNCTIONAL 775009 2% 100% 3 Search DEVIATION+FUNCTIONAL Search DEVIATION+FUNCTIONAL
8 TRIANGULAR ARRAY SCHEME 775009 2% 100% 3 Search TRIANGULAR+ARRAY+SCHEME Search TRIANGULAR+ARRAY+SCHEME
9 FUNCTION OF DEVIATIONS 516673 2% 100% 2 Search FUNCTION+OF+DEVIATIONS Search FUNCTION+OF+DEVIATIONS
10 INDEPENDENT BOUNDED RANDOM VARIABLES 516673 2% 100% 2 Search INDEPENDENT+BOUNDED+RANDOM+VARIABLES Search INDEPENDENT+BOUNDED+RANDOM+VARIABLES

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 17702 LARGE DEVIATIONS//MODERATE DEVIATIONS//ISING CURIE WEISS
2 3169 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
3 20271 MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
4 29068 BLOCK FACTORS//ONE DEPENDENCE//0 1 VALUED VARIABLES
5 11432 MULTICLASS QUEUEING NETWORKS//HEAVY TRAFFIC//SKOROKHOD PROBLEM
6 12411 QUANTILE PROCESS//LARGE DEVIATION PROBABILITY//LAW OF THE ITERATED LOGARITHM
7 10413 SELF SIMILAR MARKOV PROCESS//BESSEL PROCESS//EXPONENTIAL FUNCTIONAL
8 29971 DISCRETE INTERFERENCE OF CHANCE//SEMI MARKOVIAN RANDOM WALK//LADDER VARIABLES
9 19861 CHABAUTY TOPOLOGY//GENERALIZED DOMAINS OF ATTRACTION//OPERATOR SEMISTABLE LAWS
10 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY

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