Class information for:
Level 2: LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3652 1189 17.1 21%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
650 3       TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS 11574
3652 2             LOEB MEASURE//LOCALLY CONVEX CONES//ULTRACOPRODUCT 1189
21240 1                   LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY 427
30340 1                   LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55 170
31695 1                   STATISTICAL ADEQUACY//BAYESIAN EXPERIMENT//MIS SPECIFICATION TESTING 149
34058 1                   P INTEGRAL//ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES//AVERAGE MARTINGALE 116
34242 1                   FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM 114
34673 1                   PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET 108
34834 1                   INEXACTIFICATION//BAYESIAN PHILOSOPHY//BAYESIANS ANIMALS AS INFORMAL 105

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 LOEB MEASURE authKW 403057 2% 83% 19
2 LOCALLY CONVEX CONES authKW 335549 1% 93% 14
3 ULTRACOPRODUCT authKW 231119 1% 100% 9
4 PRODUCT LIFTING authKW 179760 1% 100% 7
5 NONSTANDARD SET THEORY authKW 157288 1% 88% 7
6 NONSTANDARD ANALYSIS authKW 153585 2% 23% 26
7 NONSTANDARD HULL authKW 132067 1% 86% 6
8 CO EXISTENTIAL MAPS authKW 128400 0% 100% 5
9 NON METRIC CONTINUA authKW 102720 0% 100% 4
10 STATISTICAL ADEQUACY authKW 102720 0% 100% 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 Mathematics 26101 63% 0% 755
2 Logic 15950 8% 1% 96
3 Statistics & Probability 6450 18% 0% 217
4 Mathematics, Applied 1716 16% 0% 191
5 History & Philosophy of Science 1347 4% 0% 45
6 Philosophy 184 2% 0% 26
7 Economics 68 4% 0% 43
8 Social Sciences, Mathematical Methods 47 1% 0% 11
9 Computer Science, Interdisciplinary Applications 26 2% 0% 23
10 Agricultural Economics & Policy 10 0% 0% 3

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 STOCHAST ANWENDUNGEN 69898 1% 39% 7
2 ABT FINANZ VERSICHERUNGSMATH 34239 0% 67% 2
3 DIPARTIMENTO MATEMAT PURA PLICATA G VITALI 29948 1% 17% 7
4 ABT FINANZ VERSICHERUNGSMATHEMAT 25680 0% 100% 1
5 AFDELING PORTFOLIO ANAL 25680 0% 100% 1
6 ANGEW MATH ABTLG STOCHAST 25680 0% 100% 1
7 ANWENDUNGEN ABT FINANZ VERSICHERUNGSMATH 25680 0% 100% 1
8 CEZEAUX SCI 25680 0% 100% 1
9 CLUSTER NORMAT ORDNUNGEN 25680 0% 100% 1
10 CONSERVATOIRE ESPACE NAT PROVENCE ALPES COTE AZUR 25680 0% 100% 1

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 JOURNAL OF SYMBOLIC LOGIC 25778 5% 2% 54
2 PHILOSOPHY OF SCIENCE 7412 2% 1% 24
3 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7008 6% 0% 68
4 FUNDAMENTA MATHEMATICAE 6377 2% 1% 22
5 SIBERIAN MATHEMATICAL JOURNAL 5281 2% 1% 25
6 JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION 5212 2% 1% 23
7 ANNALS OF PURE AND APPLIED LOGIC 4949 2% 1% 20
8 ILLINOIS JOURNAL OF MATHEMATICS 4526 2% 1% 18
9 OSAKA JOURNAL OF MATHEMATICS 4472 2% 1% 18
10 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 4312 1% 1% 12

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 LOEB MEASURE 403057 2% 83% 19 Search LOEB+MEASURE Search LOEB+MEASURE
2 LOCALLY CONVEX CONES 335549 1% 93% 14 Search LOCALLY+CONVEX+CONES Search LOCALLY+CONVEX+CONES
3 ULTRACOPRODUCT 231119 1% 100% 9 Search ULTRACOPRODUCT Search ULTRACOPRODUCT
4 PRODUCT LIFTING 179760 1% 100% 7 Search PRODUCT+LIFTING Search PRODUCT+LIFTING
5 NONSTANDARD SET THEORY 157288 1% 88% 7 Search NONSTANDARD+SET+THEORY Search NONSTANDARD+SET+THEORY
6 NONSTANDARD ANALYSIS 153585 2% 23% 26 Search NONSTANDARD+ANALYSIS Search NONSTANDARD+ANALYSIS
7 NONSTANDARD HULL 132067 1% 86% 6 Search NONSTANDARD+HULL Search NONSTANDARD+HULL
8 CO EXISTENTIAL MAPS 128400 0% 100% 5 Search CO+EXISTENTIAL+MAPS Search CO+EXISTENTIAL+MAPS
9 NON METRIC CONTINUA 102720 0% 100% 4 Search NON+METRIC+CONTINUA Search NON+METRIC+CONTINUA
10 STATISTICAL ADEQUACY 102720 0% 100% 4 Search STATISTICAL+ADEQUACY Search STATISTICAL+ADEQUACY

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 LIPECKI, Z , (2013) COMPACTNESS AND EXTREME POINTS OF THE SET OF QUASI-MEASURE EXTENSIONS OF A QUASI-MEASURE.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 493. P. 6 -+ 20 95% 0
2 SPANOS, A , MAYO, DG , (2015) ERROR STATISTICAL MODELING AND INFERENCE: WHERE METHODOLOGY MEETS ONTOLOGY.SYNTHESE. VOL. 192. ISSUE 11. P. 3533 -3555 12 80% 0
3 KANOVEI, VG , LYUBETSKII, VA , (2007) PROBLEMS OF SET-THEORETIC NON-STANDARD ANALYSIS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 62. ISSUE 1. P. 45-111 12 86% 2
4 DI NASSO, M , HRBACEK, K , (2003) COMBINATORIAL PRINCIPLES IN NONSTANDARD ANALYSIS.ANNALS OF PURE AND APPLIED LOGIC. VOL. 119. ISSUE 1-3. P. 265 -293 11 85% 0
5 CUTLAND, NJ , (2000) LOEB MEASURES IN PRACTICE: RECENT ADVANCES.LOEB MEASURES IN PRACTICE: RECENT ADVANCES. VOL. 1751. ISSUE . P. 1 -+ 18 56% 0
6 BANKSTON, P , (2000) SOME APPLICATIONS OF THE ULTRAPOWER THEOREM TO THE THEORY OF COMPACTA.APPLIED CATEGORICAL STRUCTURES. VOL. 8. ISSUE 1-2. P. 45 -66 10 100% 4
7 SPANOS, A , (2013) A FREQUENTIST INTERPRETATION OF PROBABILITY FOR MODEL-BASED INDUCTIVE INFERENCE.SYNTHESE. VOL. 190. ISSUE 9. P. 1555-1585 7 100% 0
8 LIPECKI, Z , (2011) CARDINALITY OF SOME CONVEX SETS AND OF THEIR SETS OF EXTREME POINTS.COLLOQUIUM MATHEMATICUM. VOL. 123. ISSUE 1. P. 133-147 7 100% 0
9 HERZBERG, FS , (2010) HYPERFINITE STOCHASTIC INTEGRATION FOR LEVY PROCESSES WITH FINITE-VARIATION JUMP PART.BULLETIN DES SCIENCES MATHEMATIQUES. VOL. 134. ISSUE 4. P. 423-445 8 89% 0
10 ARMSTRONG, TE , (1991) NOTES ON JORDAN FIELDS BASED ON AN ARTICLE BY MAHARAM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 154. ISSUE 1. P. 184-202 13 100% 2

Classes with closest relation at Level 2


Rank Class id link
1 1004 TOPOLOGY AND ITS APPLICATIONS//FUNDAMENTA MATHEMATICAE//MATHEMATICS
2 3487 OPTIMAL TRANSPORT//OPTIMAL TRANSPORTATION//MONGE KANTOROVICH PROBLEM
3 1493 MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE
4 3097 EFFECT SIZE//NULL HYPOTHESIS SIGNIFICANCE TESTING//NHST
5 1916 DIRICHLET PROCESS//BAYESIAN NONPARAMETRICS//STATISTICS & PROBABILITY
6 1132 PHILOSOPHY OF SCIENCE//HISTORY & PHILOSOPHY OF SCIENCE//PHILOSOPHY
7 499 FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME
8 3125 JOURNAL OF SYMBOLIC LOGIC//LOGIC//ABSTRACT ELEMENTARY CLASSES
9 3165 SUMSETS//STONE CECH COMPACTIFICATION//ZERO SUM SEQUENCE
10 1635 APPLIED CATEGORICAL STRUCTURES//FUZZY TOPOLOGY//FUZZY SETS AND SYSTEMS

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