Class information for:
Level 1: INDEPENDENT LINEAR STATISTICS//IDEMPOTENT DISTRIBUTION//SKITOVICH DARMOIS THEOREM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36809 73 13.1 24%



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
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
3857 2             MOUFANG SET//CHABAUTY TOPOLOGY//SELFDECOMPOSABLE DISTRIBUTION 885
36809 1                   INDEPENDENT LINEAR STATISTICS//IDEMPOTENT DISTRIBUTION//SKITOVICH DARMOIS THEOREM 73

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 INDEPENDENT LINEAR STATISTICS authKW 2151240 8% 86% 6
2 IDEMPOTENT DISTRIBUTION authKW 2091485 7% 100% 5
3 SKITOVICH DARMOIS THEOREM authKW 1673188 5% 100% 4
4 CHARACTERIZATION OF PROBABILITY DISTRIBUTIONS authKW 1673180 11% 50% 8
5 TOPOLOGICAL AUTOMORPHISM authKW 1254891 4% 100% 3
6 FACTORIZABLE DISTRIBUTIONS authKW 941167 4% 75% 3
7 GROUP OF P ADIC NUMBERS authKW 836594 3% 100% 2
8 HEYDE THEOREM authKW 836594 3% 100% 2
9 INDEPENDENCE OF LINEAR STATISTICS authKW 836594 3% 100% 2
10 KAGAN CLASS authKW 836594 3% 100% 2

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 2682 47% 0% 34
2 Mathematics 897 48% 0% 35
3 Mathematics, Applied 23 8% 0% 6
4 Physics, Mathematical 11 4% 0% 3
5 Multidisciplinary Sciences 3 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 LAREMA MATH 418297 1% 100% 1
2 LAREMA UMR CNRS 6093 209145 3% 25% 2
3 VERKIN LOW TEMP PHYS ENGN 121430 8% 5% 6
4 B VERKIN LOW TEMP PHYS ENGN 64878 21% 1% 15
5 LOW TEMP ENGN PHYS 41828 1% 10% 1
6 LOW TEMP PHYS ENGN 31776 7% 2% 5
7 FAK MATH 103 1% 0% 1
8 MATH 68 12% 0% 9

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 THEORY OF PROBABILITY AND ITS APPLICATIONS 85633 27% 1% 20
2 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 10075 3% 1% 2
3 DOKLADY MATHEMATICS 6700 10% 0% 7
4 UKRAINIAN MATHEMATICAL JOURNAL 3855 4% 0% 3
5 AEQUATIONES MATHEMATICAE 3482 3% 0% 2
6 JOURNAL OF THEORETICAL PROBABILITY 3279 4% 0% 3
7 SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A 2662 1% 1% 1
8 STUDIA MATHEMATICA 2285 5% 0% 4
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2125 3% 0% 2
10 JOURNAL OF MULTIVARIATE ANALYSIS 1873 5% 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 INDEPENDENT LINEAR STATISTICS 2151240 8% 86% 6 Search INDEPENDENT+LINEAR+STATISTICS Search INDEPENDENT+LINEAR+STATISTICS
2 IDEMPOTENT DISTRIBUTION 2091485 7% 100% 5 Search IDEMPOTENT+DISTRIBUTION Search IDEMPOTENT+DISTRIBUTION
3 SKITOVICH DARMOIS THEOREM 1673188 5% 100% 4 Search SKITOVICH+DARMOIS+THEOREM Search SKITOVICH+DARMOIS+THEOREM
4 CHARACTERIZATION OF PROBABILITY DISTRIBUTIONS 1673180 11% 50% 8 Search CHARACTERIZATION+OF+PROBABILITY+DISTRIBUTIONS Search CHARACTERIZATION+OF+PROBABILITY+DISTRIBUTIONS
5 TOPOLOGICAL AUTOMORPHISM 1254891 4% 100% 3 Search TOPOLOGICAL+AUTOMORPHISM Search TOPOLOGICAL+AUTOMORPHISM
6 FACTORIZABLE DISTRIBUTIONS 941167 4% 75% 3 Search FACTORIZABLE+DISTRIBUTIONS Search FACTORIZABLE+DISTRIBUTIONS
7 GROUP OF P ADIC NUMBERS 836594 3% 100% 2 Search GROUP+OF+P+ADIC+NUMBERS Search GROUP+OF+P+ADIC+NUMBERS
8 HEYDE THEOREM 836594 3% 100% 2 Search HEYDE+THEOREM Search HEYDE+THEOREM
9 INDEPENDENCE OF LINEAR STATISTICS 836594 3% 100% 2 Search INDEPENDENCE+OF+LINEAR+STATISTICS Search INDEPENDENCE+OF+LINEAR+STATISTICS
10 KAGAN CLASS 836594 3% 100% 2 Search KAGAN+CLASS Search KAGAN+CLASS

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 MYRONYUK, MV , FELDMAN, GM , (2015) INDEPENDENT LINEAR STATISTICS ON THE CYLINDERS.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 59. ISSUE 2. P. 260 -278 12 100% 0
2 FELDMAN, GM , (2010) INDEPENDENT LINEAR STATISTICS ON A-ADIC SOLENOIDS.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 54. ISSUE 3. P. 375-388 10 100% 5
3 FELDMAN, G , (2013) ON A CHARACTERIZATION OF CONVOLUTIONS OF GAUSSIAN AND HAAR DISTRIBUTIONS.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 4. P. 340-348 9 100% 1
4 FELDMAN, G , (2015) ON A CHARACTERIZATION THEOREM FOR THE GROUP OF P-ADIC NUMBERS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 87. ISSUE 1-2. P. 147 -166 8 100% 0
5 MYRONYUK, M , (2013) THE HEYDE THEOREM ON A-ADIC SOLENOIDS.COLLOQUIUM MATHEMATICUM. VOL. 132. ISSUE 2. P. 195-210 8 100% 2
6 FELDMAN, G , (2015) ON THE SKITOVICH-DARMOIS THEOREM FOR THE GROUP OF P-ADIC NUMBERS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 28. ISSUE 2. P. 539 -549 8 89% 0
7 FELDMAN, G , MYRONYUK, M , (2011) INDEPENDENT LINEAR FORMS ON CONNECTED ABELIAN GROUPS.MATHEMATISCHE NACHRICHTEN. VOL. 284. ISSUE 2-3. P. 255-265 7 100% 2
8 FELDMAN, G , GRACZYK, P , (2010) THE SKITOVICH-DARMOIS THEOREM FOR LOCALLY COMPACT ABELIAN GROUPS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 88. ISSUE 3. P. 339 -352 7 100% 4
9 MYRONYUK, MV , FELDMAN, GM , (2016) ON GEARY'S THEOREM FOR THE FIELD OF P-ADIC NUMBERS.DOKLADY MATHEMATICS. VOL. 93. ISSUE 2. P. 152 -154 6 100% 0
10 MYRONYUK, MV , FELDMAN, GM , (2008) INDEPENDENT LINEAR STATISTICS ON THE TWO-DIMENSIONAL TORUS.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 52. ISSUE 1. P. 78-92 7 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 18813 SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING
2 25891 CONDITIONAL SPECIFICATION//PEARSONS FAMILY//CONDITIONALLY SPECIFIED DISTRIBUTIONS
3 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE
4 22234 NATURAL EXPONENTIAL FAMILY//VARIANCE FUNCTION//RIESZ DISTRIBUTION
5 25408 WEAKLY STABLE DISTRIBUTION//SYMMETRIC STABLE DISTRIBUTION//RISK UNBIASEDNESS
6 12460 RIGGED HILBERT SPACE//STUDIES STAT MECH COMPLEX SYST//SUBDYNAMICS
7 11247 SIGMOIDAL FUNCTION//RIDGE FUNCTIONS//COMMUN COMP SYST SCI DIST
8 5034 MOLECULAR CRYSTALS AND LIQUID CRYSTALS//LIQUID CRYSTALS//RE ENTRANT NEMATIC PHASE
9 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
10 5228 BANDWIDTH SELECTION//NONPARAMETRIC REGRESSION//DENSITY ESTIMATION

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