Class information for:
Level 1: SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18813 534 17.9 27%


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
18813 1                   SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING 534

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 SELFDECOMPOSABLE DISTRIBUTION authKW 406620 1% 89% 8
2 SELF DECOMPOSABILITY authKW 347706 3% 41% 15
3 STOCHASTIC INTEGRAL MAPPING authKW 343087 1% 100% 6
4 GENERALIZED DOMAINS OF ATTRACTION authKW 285906 1% 100% 5
5 OPERATOR SEMISTABLE LAWS authKW 285906 1% 100% 5
6 OPERATOR STABLE LAWS authKW 238253 1% 83% 5
7 RANDOM INTEGRAL authKW 238253 1% 83% 5
8 CONVOLUTION HEMIGROUPS authKW 228725 1% 100% 4
9 DOMAINS OF SEMISTABLE ATTRACTION authKW 228725 1% 100% 4
10 GENERALIZED DOMAINS OF SEMISTABLE ATTRACTION authKW 228725 1% 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 Statistics & Probability 24756 52% 0% 279
2 Mathematics 5638 45% 0% 238
3 Mathematics, Applied 157 8% 0% 43
4 Social Sciences, Mathematical Methods 6 1% 0% 3
5 Business, Finance 3 1% 0% 3
6 Mathematics, Interdisciplinary Applications 2 1% 0% 5
7 Multidisciplinary Sciences 2 1% 0% 3
8 Physics, Mathematical -0 1% 0% 4
9 Computer Science, Information Systems -0 1% 0% 3
10 Computer Science, Hardware & Architecture -0 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 MATH STAT VERSICHERUNGSLEHRE 89492 1% 26% 6
2 SCI ACTUARIELLES 84197 2% 16% 9
3 JONSSON ENGN ELECT COMP SYST 57181 0% 100% 1
4 PROBABILIDAD ESTADST 57181 0% 100% 1
5 PROBILIT MODELES ALEATOI 57181 0% 100% 1
6 ECOLE HAUTES ETUD COMMERCIALES 53803 1% 12% 8
7 ACTURIAL SCI 28590 0% 50% 1
8 MATEMATIKAI INTEZETE 28590 0% 50% 1
9 PAUL PAINLEVE 23058 3% 3% 16
10 THIELE 17591 0% 15% 2

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 THEORETICAL PROBABILITY 119707 9% 4% 49
2 ANNALS OF PROBABILITY 20577 6% 1% 34
3 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 13443 1% 4% 6
4 THEORY OF PROBABILITY AND ITS APPLICATIONS 12870 4% 1% 21
5 JOURNAL OF MULTIVARIATE ANALYSIS 11659 5% 1% 27
6 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 11646 2% 2% 11
7 STATISTICS & PROBABILITY LETTERS 10734 7% 1% 37
8 LECTURE NOTES IN MATHEMATICS 10334 7% 1% 36
9 NAGOYA MATHEMATICAL JOURNAL 9235 3% 1% 14
10 ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE 7346 1% 4% 3

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 SELFDECOMPOSABLE DISTRIBUTION 406620 1% 89% 8 Search SELFDECOMPOSABLE+DISTRIBUTION Search SELFDECOMPOSABLE+DISTRIBUTION
2 SELF DECOMPOSABILITY 347706 3% 41% 15 Search SELF+DECOMPOSABILITY Search SELF+DECOMPOSABILITY
3 STOCHASTIC INTEGRAL MAPPING 343087 1% 100% 6 Search STOCHASTIC+INTEGRAL+MAPPING Search STOCHASTIC+INTEGRAL+MAPPING
4 GENERALIZED DOMAINS OF ATTRACTION 285906 1% 100% 5 Search GENERALIZED+DOMAINS+OF+ATTRACTION Search GENERALIZED+DOMAINS+OF+ATTRACTION
5 OPERATOR SEMISTABLE LAWS 285906 1% 100% 5 Search OPERATOR+SEMISTABLE+LAWS Search OPERATOR+SEMISTABLE+LAWS
6 OPERATOR STABLE LAWS 238253 1% 83% 5 Search OPERATOR+STABLE+LAWS Search OPERATOR+STABLE+LAWS
7 RANDOM INTEGRAL 238253 1% 83% 5 Search RANDOM+INTEGRAL Search RANDOM+INTEGRAL
8 CONVOLUTION HEMIGROUPS 228725 1% 100% 4 Search CONVOLUTION+HEMIGROUPS Search CONVOLUTION+HEMIGROUPS
9 DOMAINS OF SEMISTABLE ATTRACTION 228725 1% 100% 4 Search DOMAINS+OF+SEMISTABLE+ATTRACTION Search DOMAINS+OF+SEMISTABLE+ATTRACTION
10 GENERALIZED DOMAINS OF SEMISTABLE ATTRACTION 228725 1% 100% 4 Search GENERALIZED+DOMAINS+OF+SEMISTABLE+ATTRACTION Search GENERALIZED+DOMAINS+OF+SEMISTABLE+ATTRACTION

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 MAEJIMA, M , (2015) CLASSES OF INFINITELY DIVISIBLE DISTRIBUTIONS AND EXAMPLES.LEVY MATTERS V: FUNCTIONALS OF LEVY PROCESSES. VOL. 2149. ISSUE . P. 1 -65 33 69% 0
2 SATO, K , (2013) INVERSIONS OF INFINITELY DIVISIBLE DISTRIBUTIONS AND CONJUGATES OF STOCHASTIC INTEGRAL MAPPINGS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 26. ISSUE 4. P. 901-931 19 90% 0
3 MAEJIMA, M , ROSINSKI, J , UEDA, Y , (2015) STOCHASTIC INTEGRAL AND SERIES REPRESENTATIONS FOR STRICTLY STABLE DISTRIBUTIONS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 28. ISSUE 3. P. 989 -1006 16 94% 0
4 SATO, K , (2011) DESCRIPTION OF LIMITS OF RANGES OF ITERATIONS OF STOCHASTIC INTEGRAL MAPPINGS OF INFINITELY DIVISIBLE DISTRIBUTIONS.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 8. ISSUE . P. 1-17 16 100% 2
5 MAEJIMA, M , UEDA, Y , (2010) COMPOSITIONS OF MAPPINGS OF INFINITELY DIVISIBLE DISTRIBUTIONS WITH APPLICATIONS TO FINDING THE LIMITS OF SOME NESTED SUBCLASSES.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 15. ISSUE . P. 227-239 16 94% 3
6 AOYAMA, T , MAEJIMA, M , UEDA, Y , (2011) SEVERAL FORMS OF STOCHASTIC INTEGRAL REPRESENTATIONS OF GAMMA RANDOM VARIABLES AND RELATED TOPICS.PROBABILITY AND MATHEMATICAL STATISTICS-POLAND. VOL. 31. ISSUE 1. P. 99-118 14 100% 1
7 JUREK, ZJ , (2011) THE RANDOM INTEGRAL REPRESENTATION CONJECTURE: A QUARTER OF A CENTURY LATER.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 51. ISSUE 3. P. 362-369 15 88% 1
8 MAEJIMA, M , UEDA, Y , (2011) NESTED SUBCLASSES OF THE CLASS OF ALPHA-SELFDECOMPOSABLE DISTRIBUTIONS.TOKYO JOURNAL OF MATHEMATICS. VOL. 34. ISSUE 2. P. 383 -406 13 100% 1
9 MAEJIMA, M , UEDA, Y , (2010) ALPHA-SELFDECOMPOSABLE DISTRIBUTIONS AND RELATED ORNSTEIN-UHLENBECK TYPE PROCESSES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 120. ISSUE 12. P. 2363 -2389 13 93% 3
10 SATO, K , (2010) FRACTIONAL INTEGRALS AND EXTENSIONS OF SELFDECOMPOSABILITY.LEVY MATTERS I: RECENT PROGRESS IN THEORY AND APPLICATIONS: FOUNDATIONS, TREES AND NUMERICAL ISSUES IN FINANCE. VOL. 2001. ISSUE . P. 1 -91 15 75% 4

Classes with closest relation at Level 1


Rank Class id link
1 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
2 36809 INDEPENDENT LINEAR STATISTICS//IDEMPOTENT DISTRIBUTION//SKITOVICH DARMOIS THEOREM
3 15512 SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME
4 21683 CONSERVATIVE FLOW//EVANESCENT RANDOM FIELDS//MIXED MOVING AVERAGE
5 14470 TIME SERIES OF COUNTS//BINOMIAL THINNING//INTEGER VALUED TIME SERIES
6 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
7 37376 UNIVERSAL TESTING SEQUENCE//DECIDABILITY IN THE LIMIT//WEAK CONFORMANCE
8 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
9 19884 MATSUMOTO YOR PROPERTY//BOUGEROLS IDENTITY//EXPONENTIAL BROWNIAN FUNCTIONALS
10 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS

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