Class information for:
Level 1: PROBABILITY BOUNDS//BIVARIATE BINOMIAL MOMENTS//DISCRETE MOMENT PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28049 215 15.7 33%


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
1 4 ECONOMICS//EDUCATION & EDUCATIONAL RESEARCH//PSYCHOL 3876184
67 3       ECONOMICS//BUSINESS, FINANCE//ECON 84262
1673 2             COPULA//INSURANCE MATHEMATICS & ECONOMICS//STOCHASTIC PROGRAMMING 6803
28049 1                   PROBABILITY BOUNDS//BIVARIATE BINOMIAL MOMENTS//DISCRETE MOMENT PROBLEM 215

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 PROBABILITY BOUNDS authKW 920300 8% 36% 18
2 BIVARIATE BINOMIAL MOMENTS authKW 710125 2% 100% 5
3 DISCRETE MOMENT PROBLEM authKW 695919 3% 70% 7
4 BONFERRONI INEQUALITIES authKW 568096 3% 67% 6
5 BONFERRONI TYPE BOUNDS authKW 507230 2% 71% 5
6 FRECHET OPTIMALITY authKW 426075 1% 100% 3
7 GENERALIZATIONS OF THE BOREL CANTELLI LEMMA authKW 426075 1% 100% 3
8 SUNFLOWER HYPERGRAPH authKW 426075 1% 100% 3
9 BINOMIAL MOMENTS authKW 340853 3% 40% 6
10 MULTIVARIATE CHI SQUARE DISTRIBUTION authKW 324625 2% 57% 4

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 6507 42% 0% 91
2 Mathematics 1598 38% 0% 81
3 Operations Research & Management Science 408 10% 0% 22
4 Mathematics, Applied 244 14% 0% 31
5 Mathematical & Computational Biology 75 4% 0% 8
6 History & Philosophy of Science 30 1% 0% 3
7 Computer Science, Theory & Methods 13 3% 0% 6
8 Mathematics, Interdisciplinary Applications 8 2% 0% 4
9 Management 4 1% 0% 3
10 Computer Science, Cybernetics 4 0% 0% 1

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 RUTCOR OPERAT 189365 1% 67% 2
2 FAK MATH INFORMATIK 142025 0% 100% 1
3 H BINGEN 142025 0% 100% 1
4 RUTGERS OPERAT 102116 4% 9% 8
5 OPERACIOKUTATASI TANSZEK 71012 0% 50% 1
6 ALGEBRA COMBINATOR ANAL 47340 0% 33% 1
7 INFORMAT ENGN INFORMAT STAT 35505 0% 25% 1
8 RUTCOR 25589 4% 2% 8
9 ABDUS SALAM MATH SCI 18252 3% 2% 7
10 DIFFERENTIAL EQUAT 11121 2% 2% 5

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 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 8538 3% 1% 6
2 JOURNAL OF APPLIED PROBABILITY 8015 7% 0% 14
3 STATISTICS & PROBABILITY LETTERS 7804 9% 0% 20
4 DISCRETE MATHEMATICS 4843 9% 0% 20
5 ANNALS OF OPERATIONS RESEARCH 2701 4% 0% 8
6 MATHEMATICAL INEQUALITIES & APPLICATIONS 2519 2% 0% 5
7 HISTORIA MATHEMATICA 2515 1% 1% 3
8 ELECTRONIC JOURNAL OF COMBINATORICS 2045 3% 0% 6
9 JOURNAL OF MULTIVARIATE ANALYSIS 1941 3% 0% 7
10 CONTRIBUTIONS TO DISCRETE MATHEMATICS 1867 0% 1% 1

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 PROBABILITY BOUNDS 920300 8% 36% 18 Search PROBABILITY+BOUNDS Search PROBABILITY+BOUNDS
2 BIVARIATE BINOMIAL MOMENTS 710125 2% 100% 5 Search BIVARIATE+BINOMIAL+MOMENTS Search BIVARIATE+BINOMIAL+MOMENTS
3 DISCRETE MOMENT PROBLEM 695919 3% 70% 7 Search DISCRETE+MOMENT+PROBLEM Search DISCRETE+MOMENT+PROBLEM
4 BONFERRONI INEQUALITIES 568096 3% 67% 6 Search BONFERRONI+INEQUALITIES Search BONFERRONI+INEQUALITIES
5 BONFERRONI TYPE BOUNDS 507230 2% 71% 5 Search BONFERRONI+TYPE+BOUNDS Search BONFERRONI+TYPE+BOUNDS
6 FRECHET OPTIMALITY 426075 1% 100% 3 Search FRECHET+OPTIMALITY Search FRECHET+OPTIMALITY
7 GENERALIZATIONS OF THE BOREL CANTELLI LEMMA 426075 1% 100% 3 Search GENERALIZATIONS+OF+THE+BOREL+CANTELLI+LEMMA Search GENERALIZATIONS+OF+THE+BOREL+CANTELLI+LEMMA
8 SUNFLOWER HYPERGRAPH 426075 1% 100% 3 Search SUNFLOWER+HYPERGRAPH Search SUNFLOWER+HYPERGRAPH
9 BINOMIAL MOMENTS 340853 3% 40% 6 Search BINOMIAL+MOMENTS Search BINOMIAL+MOMENTS
10 MULTIVARIATE CHI SQUARE DISTRIBUTION 324625 2% 57% 4 Search MULTIVARIATE+CHI+SQUARE+DISTRIBUTION Search MULTIVARIATE+CHI+SQUARE+DISTRIBUTION

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 BUKSZAR, J , MADI-NAGY, G , SZANTAI, T , (2012) COMPUTING BOUNDS FOR THE PROBABILITY OF THE UNION OF EVENTS BY DIFFERENT METHODS.ANNALS OF OPERATIONS RESEARCH. VOL. 201. ISSUE 1. P. 63-81 20 95% 1
2 MADI-NAGY, G , PREKOPA, A , (2015) BIVARIATE BONFERRONI-TYPE INEQUALITIES BASED ON MULTIVARIATE LAGRANGE INTERPOLATION.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 52. ISSUE 1. P. 21 -39 18 95% 0
3 BOROS, E , SCOZZARI, A , TARDELLA, F , VENEZIANI, P , (2014) POLYNOMIALLY COMPUTABLE BOUNDS FOR THE PROBABILITY OF THE UNION OF EVENTS.MATHEMATICS OF OPERATIONS RESEARCH. VOL. 39. ISSUE 4. P. 1311 -1329 14 74% 3
4 MADI-NAGY, G , PREKOPA, A , (2011) BOUNDING EXPECTATIONS OF FUNCTIONS OF RANDOM VECTORS WITH GIVEN MARGINALS AND SOME MOMENTS: APPLICATIONS OF THE MULTIVARIATE DISCRETE MOMENT PROBLEM.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 14. ISSUE 1. P. 101-122 13 87% 0
5 YANG, J , ALAJAJI, F , TAKAHARA, G , (2016) LOWER BOUNDS ON THE PROBABILITY OF A FINITE UNION OF EVENTS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 30. ISSUE 3. P. 1437 -1452 11 85% 0
6 MADI-NAGY, G , (2009) ON MULTIVARIATE DISCRETE MOMENT PROBLEMS: GENERALIZATION OF THE BIVARIATE MIN ALGORITHM FOR HIGHER DIMENSIONS.SIAM JOURNAL ON OPTIMIZATION. VOL. 19. ISSUE 4. P. 1781 -1806 14 74% 2
7 FENG, CR , LI, LP , (2013) ON THE MORI-SZEKELY CONJECTURES FOR THE BOREL-CANTELLI LEMMA.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 50. ISSUE 2. P. 280-285 9 100% 2
8 MADI-NAGY, G , (2010) APPLICATION OF THE SOLUTION OF THE UNIVARIATE DISCRETE MOMENT PROBLEM FOR THE MULTIVARIATE CASE.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 47. ISSUE 4. P. 485 -504 11 85% 0
9 DOHMEN, K , (2003) IMPROVED BONFERRONI INEQUALITIES VIA ABSTRACT TUBES - INEQUALITIES AND IDENTITIES OF INCLUSION-EXCLUSION TYPE - INTRODUCTION AND OVERVIEW.IMPROVED BONFERRONI INEQUALITIES VIA ABSTRACT TUBES: INEQUALITIES AND IDENTITIES OF INCLUSION-EXCLUSION TYPE. VOL. 1826. ISSUE . P. 1-109 24 44% 0
10 FROLOV, AN , (2015) ON LOWER AND UPPER BOUNDS FOR PROBABILITIES OF UNIONS AND THE BOREL-CANTELLI LEMMA.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 52. ISSUE 1. P. 102 -128 7 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 18422 EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA
2 26218 ANALYSIS OF MEANS//ANOM//NEGATIVE PRODUCT CORRELATION
3 32782 MONOTONE INCOMPLETE DATA//MONOTONE MISSING DATA//MONOTONE INCOMPLETE SAMPLE
4 12573 ROBUST OPTIMIZATION//CHANCE CONSTRAINTS//PROBABILISTIC CONSTRAINTS
5 28335 OPTIMAL BOUND//MORIGUTIS INEQUALITY//KTH RECORD
6 25408 WEAKLY STABLE DISTRIBUTION//SYMMETRIC STABLE DISTRIBUTION//RISK UNBIASEDNESS
7 14483 CHROMATIC POLYNOMIAL//TUTTE POLYNOMIAL//CHROMATIC UNIQUENESS
8 6199 MULTI STATE SYSTEM//RELIABILITY OPTIMIZATION//REDUNDANCY ALLOCATION PROBLEM
9 21880 ESTIMATIVE PREDICTION LIMIT//PATH FORECAST//PREDICTION LIMIT
10 27393 RENEWAL FUNCTION//AUTOPSY MODEL//MOMENTS BASED APPROXIMATION

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