Class information for:
Level 1: COMPLETE CONVERGENCE//COMPLETE MOMENT CONVERGENCE//WEIGHTED SUMS

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
4746 1                   COMPLETE CONVERGENCE//COMPLETE MOMENT CONVERGENCE//WEIGHTED SUMS 1760

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPLETE CONVERGENCE authKW 3574291 13% 87% 230
2 COMPLETE MOMENT CONVERGENCE authKW 1343818 4% 97% 77
3 WEIGHTED SUMS authKW 1317703 7% 63% 117
4 STRONG LAW OF LARGE NUMBERS authKW 1055020 8% 41% 143
5 NEGATIVELY ASSOCIATED RANDOM VARIABLES authKW 719719 2% 93% 43
6 PRECISE ASYMPTOTICS authKW 557373 2% 76% 41
7 ALMOST SURE CONVERGENCE authKW 379717 4% 30% 70
8 ROSENTHAL TYPE INEQUALITY authKW 322300 1% 100% 18
9 NEGATIVELY ASSOCIATED authKW 270808 1% 69% 22
10 WEAK LAW OF LARGE NUMBERS authKW 260683 2% 47% 31

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 103921 59% 1% 1037
2 Mathematics 11880 36% 0% 635
3 Mathematics, Applied 7282 26% 0% 461
4 Mathematics, Interdisciplinary Applications 124 2% 0% 42
5 Computer Science, Cybernetics 13 0% 0% 6
6 Social Sciences, Mathematical Methods 11 0% 0% 8
7 Multidisciplinary Sciences -0 0% 0% 5
8 Automation & Control Systems -0 0% 0% 7
9 Paleontology -1 0% 0% 1
10 Operations Research & Management Science -4 0% 0% 3

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMBER THEORY PROBABIL THEORY 78118 1% 36% 12
2 MATH INFORMAT STAT 60145 1% 15% 22
3 STAT COMPLEX SYST 28017 0% 26% 6
4 BASIC NAT SCI 24369 0% 17% 8
5 MATH GEOBIOTEC 23873 0% 67% 2
6 STAT FINANCE 19033 1% 5% 21
7 ABT ZAHLENTHEORIE WAHRSHEINLICHKEITSTHEORIE 17906 0% 100% 1
8 ACCOUNTANT 17906 0% 100% 1
9 ARMENIAN SCI 17906 0% 100% 1
10 CNRS EQUIPE ANAL 17906 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STATISTICS & PROBABILITY LETTERS 183278 16% 4% 275
2 JOURNAL OF INEQUALITIES AND APPLICATIONS 47273 5% 3% 96
3 JOURNAL OF THEORETICAL PROBABILITY 40451 3% 4% 52
4 THEORY OF PROBABILITY AND ITS APPLICATIONS 40019 4% 3% 67
5 ANNALS OF PROBABILITY 38675 5% 3% 84
6 ABEL SYMPOSIA 25072 2% 4% 36
7 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 18824 1% 4% 25
8 COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 15624 5% 1% 86
9 JOURNAL OF MULTIVARIATE ANALYSIS 15337 3% 2% 56
10 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 14629 2% 3% 32

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMPLETE CONVERGENCE 3574291 13% 87% 230 Search COMPLETE+CONVERGENCE Search COMPLETE+CONVERGENCE
2 COMPLETE MOMENT CONVERGENCE 1343818 4% 97% 77 Search COMPLETE+MOMENT+CONVERGENCE Search COMPLETE+MOMENT+CONVERGENCE
3 WEIGHTED SUMS 1317703 7% 63% 117 Search WEIGHTED+SUMS Search WEIGHTED+SUMS
4 STRONG LAW OF LARGE NUMBERS 1055020 8% 41% 143 Search STRONG+LAW+OF+LARGE+NUMBERS Search STRONG+LAW+OF+LARGE+NUMBERS
5 NEGATIVELY ASSOCIATED RANDOM VARIABLES 719719 2% 93% 43 Search NEGATIVELY+ASSOCIATED+RANDOM+VARIABLES Search NEGATIVELY+ASSOCIATED+RANDOM+VARIABLES
6 PRECISE ASYMPTOTICS 557373 2% 76% 41 Search PRECISE+ASYMPTOTICS Search PRECISE+ASYMPTOTICS
7 ALMOST SURE CONVERGENCE 379717 4% 30% 70 Search ALMOST+SURE+CONVERGENCE Search ALMOST+SURE+CONVERGENCE
8 ROSENTHAL TYPE INEQUALITY 322300 1% 100% 18 Search ROSENTHAL+TYPE+INEQUALITY Search ROSENTHAL+TYPE+INEQUALITY
9 NEGATIVELY ASSOCIATED 270808 1% 69% 22 Search NEGATIVELY+ASSOCIATED Search NEGATIVELY+ASSOCIATED
10 WEAK LAW OF LARGE NUMBERS 260683 2% 47% 31 Search WEAK+LAW+OF+LARGE+NUMBERS Search WEAK+LAW+OF+LARGE+NUMBERS

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 29068 BLOCK FACTORS//ONE DEPENDENCE//0 1 VALUED VARIABLES
2 20271 MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
3 15121 ALMOST SURE CENTRAL LIMIT THEOREM//SELF NORMALIZED SUMS//ALMOST SURE LIMIT THEOREM
4 12411 QUANTILE PROCESS//LARGE DEVIATION PROBABILITY//LAW OF THE ITERATED LOGARITHM
5 23334 U STATISTICS//RANDOM PERMANENT//STABLE INTEGRALS
6 38666 DOUBLE ORTHOGONAL SERIES//GENERALIZED ZYGMUND CLASSES//KRONECKER LEMMA FOR DOUBLE SEQUENCES
7 17702 LARGE DEVIATIONS//MODERATE DEVIATIONS//ISING CURIE WEISS
8 27961 L 1 ERROR//NONPARAMETRIC REGRESSION ESTIMATION//REGRESSION ESTIMATE
9 21538 SUPERIMPOSED EXPONENTIAL SIGNALS//EXPONENTIAL SIGNALS//MIXED SPECTRUM
10 32281 SHANNON MCMILLAN THEOREM//BIFURCATING AUTOREGRESSIVE PROCESS//STRONG DEVIATION THEOREM

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