Class information for:
Level 1: ALMOST SURE CENTRAL LIMIT THEOREM//SELF NORMALIZED SUMS//ALMOST SURE LIMIT THEOREM

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
15121 1                   ALMOST SURE CENTRAL LIMIT THEOREM//SELF NORMALIZED SUMS//ALMOST SURE LIMIT THEOREM 756

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ALMOST SURE CENTRAL LIMIT THEOREM authKW 2675389 10% 84% 76
2 SELF NORMALIZED SUMS authKW 1323042 6% 72% 44
3 ALMOST SURE LIMIT THEOREM authKW 723557 4% 64% 27
4 DOMAIN OF ATTRACTION OF THE NORMAL LAW authKW 704165 3% 68% 25
5 SELF NORMALIZED authKW 573693 2% 81% 17
6 LOGARITHMIC AVERAGES authKW 551743 2% 88% 15
7 SELF NORMALIZED PARTIAL SUMS authKW 375188 1% 100% 9
8 ST PETERSBURG GAME authKW 336273 1% 73% 11
9 PRODUCTS OF SUMS authKW 306968 1% 82% 9
10 BERRY ESSEEN BOUND authKW 231884 3% 25% 22

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Statistics & Probability 60299 68% 0% 517
2 Mathematics 2700 27% 0% 202
3 Mathematics, Applied 756 14% 0% 103
4 Mathematics, Interdisciplinary Applications 7 1% 0% 9
5 Multidisciplinary Sciences 2 1% 0% 4
6 Psychology, Mathematical 1 0% 0% 1
7 History & Philosophy of Science 0 0% 0% 1
8 Social Sciences, Mathematical Methods -0 0% 0% 1
9 Mathematical & Computational Biology -0 0% 0% 2
10 Business, Finance -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ABT ZAHLENTHEORIE WAHR EINLICHKEITSTHEORIE 83371 1% 50% 4
2 MATH STAT PROBABIL 83371 1% 50% 4
3 MATH IRMA 83367 1% 33% 6
4 ANAL STOCHAST GRP 46413 1% 16% 7
5 ABT ZAHLEN WAHRS EINLICHKEITSTHEORIE 41688 0% 100% 1
6 BIOMETR DATA STAT SCI 41688 0% 100% 1
7 BIOSTAT UNIT CLIN EPIDEMIOL BIOSTAT 41688 0% 100% 1
8 BOLYAI KOLLEGIUMA 41688 0% 100% 1
9 CNRSFRE 2222 41688 0% 100% 1
10 CREAR RISK 41688 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF THEORETICAL PROBABILITY 61508 6% 4% 42
2 ANNALS OF PROBABILITY 50740 8% 2% 63
3 THEORY OF PROBABILITY AND ITS APPLICATIONS 47882 6% 2% 48
4 STATISTICS & PROBABILITY LETTERS 36967 11% 1% 81
5 ANNALS OF STATISTICS 8758 4% 1% 29
6 LITHUANIAN MATHEMATICAL JOURNAL 8685 1% 2% 9
7 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 6878 3% 1% 24
8 ESAIM-PROBABILITY AND STATISTICS 6429 1% 3% 6
9 BERNOULLI 6292 2% 1% 14
10 ELECTRONIC COMMUNICATIONS IN PROBABILITY 5927 1% 1% 11

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ALMOST SURE CENTRAL LIMIT THEOREM 2675389 10% 84% 76 Search ALMOST+SURE+CENTRAL+LIMIT+THEOREM Search ALMOST+SURE+CENTRAL+LIMIT+THEOREM
2 SELF NORMALIZED SUMS 1323042 6% 72% 44 Search SELF+NORMALIZED+SUMS Search SELF+NORMALIZED+SUMS
3 ALMOST SURE LIMIT THEOREM 723557 4% 64% 27 Search ALMOST+SURE+LIMIT+THEOREM Search ALMOST+SURE+LIMIT+THEOREM
4 DOMAIN OF ATTRACTION OF THE NORMAL LAW 704165 3% 68% 25 Search DOMAIN+OF+ATTRACTION+OF+THE+NORMAL+LAW Search DOMAIN+OF+ATTRACTION+OF+THE+NORMAL+LAW
5 SELF NORMALIZED 573693 2% 81% 17 Search SELF+NORMALIZED Search SELF+NORMALIZED
6 LOGARITHMIC AVERAGES 551743 2% 88% 15 Search LOGARITHMIC+AVERAGES Search LOGARITHMIC+AVERAGES
7 SELF NORMALIZED PARTIAL SUMS 375188 1% 100% 9 Search SELF+NORMALIZED+PARTIAL+SUMS Search SELF+NORMALIZED+PARTIAL+SUMS
8 ST PETERSBURG GAME 336273 1% 73% 11 Search ST+PETERSBURG+GAME Search ST+PETERSBURG+GAME
9 PRODUCTS OF SUMS 306968 1% 82% 9 Search PRODUCTS+OF+SUMS Search PRODUCTS+OF+SUMS
10 BERRY ESSEEN BOUND 231884 3% 25% 22 Search BERRY+ESSEEN+BOUND Search BERRY+ESSEEN+BOUND

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 28830 FINITE SAMPLE TEST//SERIAL RANK STATISTICS//SERIAL RANKS
5 20271 MARTINGALE APPROXIMATION//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
6 12411 QUANTILE PROCESS//LARGE DEVIATION PROBABILITY//LAW OF THE ITERATED LOGARITHM
7 6920 BOOTSTRAP//EDGEWORTH EXPANSION//BLOCK BOOTSTRAP
8 17702 LARGE DEVIATIONS//MODERATE DEVIATIONS//ISING CURIE WEISS
9 19861 CHABAUTY TOPOLOGY//GENERALIZED DOMAINS OF ATTRACTION//OPERATOR SEMISTABLE LAWS
10 17949 PICKANDS CONSTANT//EXCURSION SET//RICE FORMULA

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