Class information for:
Level 1: MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES

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
20271 1                   MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES 490

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MARTINGALE APPROXIMATION authKW 695322 4% 54% 20
2 BOUNDS FOR TAIL PROBABILITIES authKW 514552 2% 100% 8
3 HOEFFDINGS INEQUALITIES authKW 385914 1% 100% 6
4 M DEPENDENT APPROXIMATION authKW 321595 1% 100% 5
5 PROJECTIVE CRITERIA authKW 321595 1% 100% 5
6 STRICTLY STATIONARY PROCESS authKW 316641 2% 62% 8
7 PROBABILITY INEQUALITIES authKW 301925 3% 36% 13
8 ROSENTHAL INEQUALITY authKW 299318 2% 42% 11
9 EQUIPE ERIM address 289432 1% 75% 6
10 HANNANS CONDITION authKW 257276 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 39296 69% 0% 336
2 Mathematics 1667 26% 0% 128
3 Mathematics, Applied 131 8% 0% 38
4 Social Sciences, Mathematical Methods 24 1% 0% 5
5 Mathematics, Interdisciplinary Applications 12 2% 0% 8
6 Operations Research & Management Science 3 1% 0% 5
7 Multidisciplinary Sciences 2 1% 0% 3
8 Computer Science, Cybernetics 1 0% 0% 1
9 Economics 0 1% 0% 6
10 Business, Finance -0 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ERIM 289432 1% 75% 6
2 URA 0743 192957 1% 100% 3
3 REGULAR TEAM 150068 1% 33% 7
4 INRIA MAS 128638 0% 100% 2
5 UPECLAMA UMR 8050 85757 0% 67% 2
6 MATH R HAEL SALEM 85025 4% 7% 18
7 UMR CNRS 6205 66147 1% 17% 6
8 CNRS 6205 64319 0% 100% 1
9 LMBA CNRS 6205 64319 0% 100% 1
10 LMPT CNRS 7350 64319 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 THEORY OF PROBABILITY AND ITS APPLICATIONS 48789 8% 2% 39
2 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 34217 9% 1% 43
3 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 32361 2% 4% 12
4 JOURNAL OF THEORETICAL PROBABILITY 30981 5% 2% 24
5 ANNALS OF PROBABILITY 21467 7% 1% 33
6 STOCHASTICS AND DYNAMICS 12241 2% 2% 9
7 STATISTICS & PROBABILITY LETTERS 11879 8% 1% 37
8 ELECTRONIC COMMUNICATIONS IN PROBABILITY 9156 2% 1% 11
9 PROBABILITY THEORY AND RELATED FIELDS 8802 4% 1% 18
10 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 8460 3% 1% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MARTINGALE APPROXIMATION 695322 4% 54% 20 Search MARTINGALE+APPROXIMATION Search MARTINGALE+APPROXIMATION
2 BOUNDS FOR TAIL PROBABILITIES 514552 2% 100% 8 Search BOUNDS+FOR+TAIL+PROBABILITIES Search BOUNDS+FOR+TAIL+PROBABILITIES
3 HOEFFDINGS INEQUALITIES 385914 1% 100% 6 Search HOEFFDINGS+INEQUALITIES Search HOEFFDINGS+INEQUALITIES
4 M DEPENDENT APPROXIMATION 321595 1% 100% 5 Search M+DEPENDENT+APPROXIMATION Search M+DEPENDENT+APPROXIMATION
5 PROJECTIVE CRITERIA 321595 1% 100% 5 Search PROJECTIVE+CRITERIA Search PROJECTIVE+CRITERIA
6 STRICTLY STATIONARY PROCESS 316641 2% 62% 8 Search STRICTLY+STATIONARY+PROCESS Search STRICTLY+STATIONARY+PROCESS
7 PROBABILITY INEQUALITIES 301925 3% 36% 13 Search PROBABILITY+INEQUALITIES Search PROBABILITY+INEQUALITIES
8 ROSENTHAL INEQUALITY 299318 2% 42% 11 Search ROSENTHAL+INEQUALITY Search ROSENTHAL+INEQUALITY
9 HANNANS CONDITION 257276 1% 100% 4 Search HANNANS+CONDITION Search HANNANS+CONDITION
10 PROBABILITIES OF LARGE DEVIATIONS 210493 1% 55% 6 Search PROBABILITIES+OF+LARGE+DEVIATIONS Search PROBABILITIES+OF+LARGE+DEVIATIONS

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 23334 U STATISTICS//RANDOM PERMANENT//STABLE INTEGRALS
2 29068 BLOCK FACTORS//ONE DEPENDENCE//0 1 VALUED VARIABLES
3 4746 COMPLETE CONVERGENCE//COMPLETE MOMENT CONVERGENCE//WEIGHTED SUMS
4 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY
5 15121 ALMOST SURE CENTRAL LIMIT THEOREM//SELF NORMALIZED SUMS//ALMOST SURE LIMIT THEOREM
6 34663 INTEGRO LOCAL THEOREM//LOCAL LARGE DEVIATION PRINCIPLE//SUPERLARGE DEVIATIONS
7 28265 BAHADUR EXACT SLOPE//LOCAL U STATISTIC//INACCURACY RATE
8 12411 QUANTILE PROCESS//LARGE DEVIATION PROBABILITY//LAW OF THE ITERATED LOGARITHM
9 17702 LARGE DEVIATIONS//MODERATE DEVIATIONS//ISING CURIE WEISS
10 24299 CHAINS WITH COMPLETE CONNECTIONS//CHAINS OF INFINITE ORDER//SCI PL RENNES

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