Class information for:
Level 1: P INTEGRAL//ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES//AVERAGE MARTINGALE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
34058 116 13.0 20%



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
34058 1                   P INTEGRAL//ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES//AVERAGE MARTINGALE 116

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 P INTEGRAL authKW 789714 3% 100% 3
2 ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES authKW 263238 1% 100% 1
3 AVERAGE MARTINGALE authKW 263238 1% 100% 1
4 CK AND L 1 SPACES authKW 263238 1% 100% 1
5 CONICAL MEASURE OF AN EXPERIMENT authKW 263238 1% 100% 1
6 EQUIMEASURABLE SETS authKW 263238 1% 100% 1
7 ERA 294 address 263238 1% 100% 1
8 ESSENSIAL P VARIATION authKW 263238 1% 100% 1
9 ESSENTIAL BOUNDED VARIATION authKW 263238 1% 100% 1
10 INFINITE PRODUCT MEASURE authKW 263238 1% 100% 1

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 3017 69% 0% 80
2 Statistics & Probability 1202 25% 0% 29
3 Mathematics, Applied 31 8% 0% 9
4 Multidisciplinary Sciences 9 2% 0% 2
5 Biophysics 2 3% 0% 3
6 Obstetrics & Gynecology 1 2% 0% 2
7 Chemistry, Analytical 0 2% 0% 2
8 Biochemical Research Methods -0 1% 0% 1
9 Surgery -1 1% 0% 1
10 Biochemistry & Molecular Biology -5 1% 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 ERA 294 263238 1% 100% 1
2 CNRSUFR MATH 32903 1% 13% 1
3 SYST DESIGN INFORMAT 28198 3% 4% 3
4 MATH PAUL PAINLEVE 5721 1% 2% 1
5 PROBABIL THEORY 2630 1% 1% 1
6 EQUIPE ANAL 2307 1% 1% 1
7 STAT PROBABIL 1102 2% 0% 2
8 MATH SYST ANAL 935 1% 0% 1
9 UFR MATH 724 2% 0% 2
10 UMR 8524 552 1% 0% 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 SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY 28886 3% 4% 3
2 OSAKA JOURNAL OF MATHEMATICS 17233 9% 1% 11
3 SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A 15084 3% 2% 3
4 KYUSHU JOURNAL OF MATHEMATICS 9071 3% 1% 3
5 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 5516 4% 0% 5
6 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 5246 4% 0% 5
7 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 3447 3% 0% 4
8 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 3371 2% 1% 2
9 THEORY OF PROBABILITY AND ITS APPLICATIONS 3360 4% 0% 5
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 1983 7% 0% 8

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 P INTEGRAL 789714 3% 100% 3 Search P+INTEGRAL Search P+INTEGRAL
2 ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES 263238 1% 100% 1 Search ABSOLUTE+CONTINUITY+OF+INFINITE+PRODUCT+MEASURES Search ABSOLUTE+CONTINUITY+OF+INFINITE+PRODUCT+MEASURES
3 AVERAGE MARTINGALE 263238 1% 100% 1 Search AVERAGE+MARTINGALE Search AVERAGE+MARTINGALE
4 CK AND L 1 SPACES 263238 1% 100% 1 Search CK+AND+L+1+SPACES Search CK+AND+L+1+SPACES
5 CONICAL MEASURE OF AN EXPERIMENT 263238 1% 100% 1 Search CONICAL+MEASURE+OF+AN+EXPERIMENT Search CONICAL+MEASURE+OF+AN+EXPERIMENT
6 EQUIMEASURABLE SETS 263238 1% 100% 1 Search EQUIMEASURABLE+SETS Search EQUIMEASURABLE+SETS
7 ESSENSIAL P VARIATION 263238 1% 100% 1 Search ESSENSIAL+P+VARIATION Search ESSENSIAL+P+VARIATION
8 ESSENTIAL BOUNDED VARIATION 263238 1% 100% 1 Search ESSENTIAL+BOUNDED+VARIATION Search ESSENTIAL+BOUNDED+VARIATION
9 INFINITE PRODUCT MEASURE 263238 1% 100% 1 Search INFINITE+PRODUCT+MEASURE Search INFINITE+PRODUCT+MEASURE
10 KAKUTANIS DICHOTOMY THEOREM 263238 1% 100% 1 Search KAKUTANIS+DICHOTOMY+THEOREM Search KAKUTANIS+DICHOTOMY+THEOREM

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 HONDA, A , OKAZAKI, Y , SATO, H , (2009) EQUIVALENCE OF NON-NEGATIVE RANDOM TRANSLATES OF AN IID RANDOM SEQUENCE.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 1. P. 269 -286 6 100% 0
2 HONDA, A , OKAZAKI, Y , SATO, H , (2015) APPROXIMATIONS AND THE LINEARITY OF THE SHEPP SPACE.KYUSHU JOURNAL OF MATHEMATICS. VOL. 69. ISSUE 1. P. 173 -194 5 100% 0
3 NOWAK, E , (2004) ABSOLUTE CONTINUITY BETWEEN A GIBBS MEASURE AND ITS TRANSLATE.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 49. ISSUE 4. P. 713-724 4 100% 0
4 MIZUMACHI, H , SATO, H , (1997) ABSOLUTE CONTINUITY OF SIMILAR TRANSLATIONS.JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY. VOL. 37. ISSUE 2. P. 317-326 5 100% 0
5 HINO, M , (1994) ON EQUIVALENCE OF PRODUCT MEASURES BY RANDOM TRANSLATION.JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY. VOL. 34. ISSUE 4. P. 755-765 5 100% 2
6 MUSSMANN, D , (1991) CONICAL MEASURES, WEAK-CONVERGENCE OF EXPERIMENTS, AND MINIMAL SUFFICIENCY.SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY. VOL. 53. ISSUE . P. 162-182 5 100% 0
7 KUBOKAWA, Y , (1995) COVERABLE STANDARD MEASURES WITH THE CHAIN CONDITION AND THE LEBESGUE DECOMPOSITION.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 45. ISSUE 2. P. 315-324 4 100% 0
8 HONDA, A , OKAZAKI, Y , SATO, H , (2012) METRICS ON THE SEQUENCE SPACE LAMBDA(P)(F).KYUSHU JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 2. P. 365 -374 2 100% 0
9 HONDA, A , OKAZAKI, Y , SATO, H , (2011) DOUBLING CONDITION AND LINEARITY OF THE SEQUENCE SPACE A(P)(F).KYUSHU JOURNAL OF MATHEMATICS. VOL. 65. ISSUE 2. P. 335 -347 2 100% 1
10 BECKER, R , (2005) ON POSITIVE OPERATORS ON SOME ORDERED BANACH SPACES.POSITIVITY. VOL. 9. ISSUE 2. P. 249-257 3 75% 0

Classes with closest relation at Level 1



Rank Class id link
1 34242 FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM
2 30340 LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55
3 18422 EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA
4 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
5 27840 CHROMATOFOCUSING//ACID BASE RESIDUES//INDUCED PH GRADIENTS
6 14379 UNBOUNDED COEFFICIENTS//DIPARTIMENTO MATEMAT ENNIO DE GIORGI//TRANSITION SEMIGROUP
7 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
8 25853 EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK
9 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
10 12925 LOCALE//F RING//BIFRAME

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