Class information for:
Level 1: PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
34673 108 15.9 18%



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
34673 1                   PRODUCT LIFTING//STOCHAST ANWENDUNGEN//JORDAN MEASURABLE SET 108

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 PRODUCT LIFTING authKW 1979160 6% 100% 7
2 STOCHAST ANWENDUNGEN address 769665 6% 39% 7
3 JORDAN MEASURABLE SET authKW 636157 3% 75% 3
4 LIFTING RESPECTING COORDINATES authKW 565474 2% 100% 2
5 ABT FINANZ VERSICHERUNGSMATH address 376982 2% 67% 2
6 PRODUCT DENSITIES authKW 376982 2% 67% 2
7 BASUS THEOREM authKW 318076 3% 38% 3
8 ABT FINANZ VERSICHERUNGSMATHEMAT address 282737 1% 100% 1
9 ADMISSIBLE DENSITIES authKW 282737 1% 100% 1
10 ANWENDUNGEN ABT FINANZ VERSICHERUNGSMATH address 282737 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 2620 67% 0% 72
2 Statistics & Probability 1900 32% 0% 35
3 Mathematics, Applied 261 20% 0% 22
4 Computer Science, Cybernetics 9 1% 0% 1
5 Computer Science, Theory & Methods 0 1% 0% 1
6 Physics, Mathematical 0 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 STOCHAST ANWENDUNGEN 769665 6% 39% 7
2 ABT FINANZ VERSICHERUNGSMATH 376982 2% 67% 2
3 ABT FINANZ VERSICHERUNGSMATHEMAT 282737 1% 100% 1
4 ANWENDUNGEN ABT FINANZ VERSICHERUNGSMATH 282737 1% 100% 1
5 SECT MATH ANAL PLICAT 282737 1% 100% 1
6 STATS INSURANCE SCI 282737 1% 100% 1
7 STOCHAST PROC PL STAT 282737 1% 100% 1
8 CIENCIA COMP ESTAT 141368 1% 50% 1
9 HBEREICH MATH STOCHAST 141368 1% 50% 1
10 STAT INSURANCE SCI 100599 9% 4% 10

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 FUNDAMENTA MATHEMATICAE 9331 7% 0% 8
2 THEORY OF PROBABILITY AND ITS APPLICATIONS 3609 5% 0% 5
3 ISRAEL JOURNAL OF MATHEMATICS 2709 6% 0% 6
4 JOURNAL OF THEORETICAL PROBABILITY 2214 3% 0% 3
5 ANNALS OF PROBABILITY 2198 5% 0% 5
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1681 9% 0% 10
7 MATHEMATIKA 1302 2% 0% 2
8 STATISTICS & PROBABILITY LETTERS 966 5% 0% 5
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 924 2% 0% 2
10 TOPOLOGY AND ITS APPLICATIONS 737 4% 0% 4

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 PRODUCT LIFTING 1979160 6% 100% 7 Search PRODUCT+LIFTING Search PRODUCT+LIFTING
2 JORDAN MEASURABLE SET 636157 3% 75% 3 Search JORDAN+MEASURABLE+SET Search JORDAN+MEASURABLE+SET
3 LIFTING RESPECTING COORDINATES 565474 2% 100% 2 Search LIFTING+RESPECTING+COORDINATES Search LIFTING+RESPECTING+COORDINATES
4 PRODUCT DENSITIES 376982 2% 67% 2 Search PRODUCT+DENSITIES Search PRODUCT+DENSITIES
5 BASUS THEOREM 318076 3% 38% 3 Search BASUS+THEOREM Search BASUS+THEOREM
6 ADMISSIBLE DENSITIES 282737 1% 100% 1 Search ADMISSIBLE+DENSITIES Search ADMISSIBLE+DENSITIES
7 ASYMPTOTICALLY INFORMATIVE PRIOR 282737 1% 100% 1 Search ASYMPTOTICALLY+INFORMATIVE+PRIOR Search ASYMPTOTICALLY+INFORMATIVE+PRIOR
8 AVERAGE CASE OPTIMAL ALGORITHM 282737 1% 100% 1 Search AVERAGE+CASE+OPTIMAL+ALGORITHM Search AVERAGE+CASE+OPTIMAL+ALGORITHM
9 COMPACT PROBABILITY 282737 1% 100% 1 Search COMPACT+PROBABILITY Search COMPACT+PROBABILITY
10 CONSISTENT MLES 282737 1% 100% 1 Search CONSISTENT+MLES Search CONSISTENT+MLES

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 MUSIAL, K , STRAUSS, W , MACHERAS, ND , (2007) FUBINI TYPE PRODUCTS FOR DENSITIES AND LIFTINGS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 20. ISSUE 3. P. 545-560 7 100% 1
2 MACHERAS, ND , STRAUSS, W , (2010) VARIOUS PRODUCTS FOR LEBESGUE DENSITIES.POSITIVITY. VOL. 14. ISSUE 4. P. 815 -829 6 100% 0
3 BURKE, MR , (2007) INVARIANT BOREL LIFTINGS FOR CATEGORY ALGEBRAS OF BAIRE GROUPS.FUNDAMENTA MATHEMATICAE. VOL. 194. ISSUE 1. P. 15-44 7 88% 0
4 MACHERAS, ND , MUSIAL, K , STRAUSS, W , (1999) ON PRODUCTS OF ADMISSIBLE LIFTINGS AND DENSITIES.ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN. VOL. 18. ISSUE 3. P. 651-667 7 100% 0
5 MACHERAS, ND , MUSIAL, K , STRAUSS, W , (2003) ON STRONG LIFTINGS ON PROJECTIVE LIMITS.GLASGOW MATHEMATICAL JOURNAL. VOL. 45. ISSUE . P. 503-525 6 100% 1
6 STRAUSS, W , MACHERAS, ND , MUSIAL, K , (2004) SPLITTING OF LIFTINGS IN PRODUCTS OF PROBABILITY SPACES.ANNALS OF PROBABILITY. VOL. 32. ISSUE 3B. P. 2389-2408 5 100% 3
7 MUSIAL, K , STRAUSS, W , MACHERAS, ND , (2004) EXISTENCE OF LINEAR LIFTINGS WITH INVARIANT SECTIONS IN PRODUCT MEASURE SPACES.ARCHIV DER MATHEMATIK. VOL. 83. ISSUE 5. P. 467-480 5 100% 1
8 MACHERAS, ND , STRAUSS, W , (1996) ON PRODUCTS OF ALMOST STRONG LIFTINGS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS. VOL. 60. ISSUE . P. 311 -333 6 100% 4
9 BURKE, MR , MACHERAS, ND , MUSIAL, K , STRAUSS, W , (2009) VARIOUS PRODUCTS OF CATEGORY DENSITIES AND LIFTINGS.TOPOLOGY AND ITS APPLICATIONS. VOL. 156. ISSUE 7. P. 1253-1270 4 100% 1
10 GRYLLAKIS, C , GREKAS, S , (1999) ON PRODUCTS OF RADON MEASURES.FUNDAMENTA MATHEMATICAE. VOL. 159. ISSUE 1. P. 71 -84 6 86% 1

Classes with closest relation at Level 1



Rank Class id link
1 30340 LOCALLY CONVEX CONES//WEAK CONVERGENCE OF VECTOR MEASURES//46A55
2 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
3 34242 FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM
4 21240 LOEB MEASURE//ULTRACOPRODUCT//NONSTANDARD SET THEORY
5 26022 NONMEASURABLE SET//RECURSIVE SATURATION//BOUNDED SATURATION
6 23074 EDGEWORTH PARETO HULL//RANDOM POLYTOPES//SYLVESTERS PROBLEM
7 3329 TOPOLOGY AND ITS APPLICATIONS//SELECTION PRINCIPLES//HUREWICZ PROPERTY
8 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
9 31695 STATISTICAL ADEQUACY//BAYESIAN EXPERIMENT//MIS SPECIFICATION TESTING
10 29708 INTEGRATED EMPIRICAL PROCESS//ADAPTIVE TEST STATISTICS//MULTIDIMENSIONAL STATIONARY AUTOREGRESSIVE PROCESSES

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