Class information for:
Level 1: EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
31043 159 14.7 22%


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
499 2             FRACTIONAL BROWNIAN MOTION//ANNALS OF PROBABILITY//LOCAL TIME 15343
31043 1                   EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE 159

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 EXCHANGEABLE RANDOM VARIABLE authKW 384094 1% 100% 2
2 KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS authKW 256062 1% 67% 2
3 BERRY ESSEEN TYPE ESTIMATE authKW 192047 1% 100% 1
4 CENTRAL LIMIT THEOREM IN HILBERT SPACES authKW 192047 1% 100% 1
5 CLASSICAL PROBABILITY MODEL authKW 192047 1% 100% 1
6 CONDITIONALLY MIXING authKW 192047 1% 100% 1
7 DEFAS address 192047 1% 100% 1
8 DISCONTINUOUS VARIANCE authKW 192047 1% 100% 1
9 FUNCTIONALS OF WIENER PROCESSES authKW 192047 1% 100% 1
10 GOOD TURING INDEX authKW 192047 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 Statistics & Probability 9667 60% 0% 95
2 Mathematics 449 24% 0% 38
3 Mathematics, Applied 133 13% 0% 20
4 Multidisciplinary Sciences 29 3% 0% 4
5 Automation & Control Systems 17 3% 0% 4
6 Mining & Mineral Processing 4 1% 0% 1
7 Mineralogy 1 1% 0% 1
8 Physics, Mathematical 1 1% 0% 2
9 Mathematical & Computational Biology 0 1% 0% 1
10 Operations Research & Management Science 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 DEFAS 192047 1% 100% 1
2 SUKHUMI BRANCH 192047 1% 100% 1
3 SONDERFOR BEREICH 123 96023 1% 50% 1
4 UMR 6085UFR SCI 96023 1% 50% 1
5 GRP INSEGNAMENTO MATEMAT 64014 1% 33% 1
6 LAREMFIQ IHEC 64014 1% 33% 1
7 MATH R SALEM 12801 1% 7% 1
8 IMQ 8728 1% 5% 1
9 CENT ECON MATH 4312 1% 1% 2
10 FB 4 3764 1% 2% 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 THEORY OF PROBABILITY AND ITS APPLICATIONS 94438 19% 2% 31
2 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 46612 8% 2% 12
3 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 9841 3% 1% 4
4 ANNALS OF PROBABILITY 7235 7% 0% 11
5 ABEL SYMPOSIA 4647 3% 0% 5
6 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 3617 5% 0% 8
7 STOCHASTIC ANALYSIS AND APPLICATIONS 3324 2% 1% 3
8 ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE 2742 1% 1% 1
9 LECTURE NOTES IN MATHEMATICS 2166 6% 0% 9
10 JOURNAL OF APPLIED PROBABILITY 1986 4% 0% 6

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 EXCHANGEABLE RANDOM VARIABLE 384094 1% 100% 2 Search EXCHANGEABLE+RANDOM+VARIABLE Search EXCHANGEABLE+RANDOM+VARIABLE
2 KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS 256062 1% 67% 2 Search KOLMOGOROV+FELLER+WEAK+LAW+OF+LARGE+NUMBERS Search KOLMOGOROV+FELLER+WEAK+LAW+OF+LARGE+NUMBERS
3 BERRY ESSEEN TYPE ESTIMATE 192047 1% 100% 1 Search BERRY+ESSEEN+TYPE+ESTIMATE Search BERRY+ESSEEN+TYPE+ESTIMATE
4 CENTRAL LIMIT THEOREM IN HILBERT SPACES 192047 1% 100% 1 Search CENTRAL+LIMIT+THEOREM+IN+HILBERT+SPACES Search CENTRAL+LIMIT+THEOREM+IN+HILBERT+SPACES
5 CLASSICAL PROBABILITY MODEL 192047 1% 100% 1 Search CLASSICAL+PROBABILITY+MODEL Search CLASSICAL+PROBABILITY+MODEL
6 CONDITIONALLY MIXING 192047 1% 100% 1 Search CONDITIONALLY+MIXING Search CONDITIONALLY+MIXING
7 DISCONTINUOUS VARIANCE 192047 1% 100% 1 Search DISCONTINUOUS+VARIANCE Search DISCONTINUOUS+VARIANCE
8 FUNCTIONALS OF WIENER PROCESSES 192047 1% 100% 1 Search FUNCTIONALS+OF+WIENER+PROCESSES Search FUNCTIONALS+OF+WIENER+PROCESSES
9 GOOD TURING INDEX 192047 1% 100% 1 Search GOOD+TURING+INDEX Search GOOD+TURING+INDEX
10 KARLIN ROUAULT LAW 192047 1% 100% 1 Search KARLIN+ROUAULT+LAW Search KARLIN+ROUAULT+LAW

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 FORTINI, S , LADELLI, L , REGAZZINI, E , (1997) A CENTRAL LIMIT PROBLEM FOR PARTIALLY EXCHANGEABLE RANDOM VARIABLES.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 41. ISSUE 2. P. 224-246 4 100% 6
2 ZHANG, B , ZHANG, JX , KANNAN, D , (2005) NONLINEAR STOCHASTIC DIFFERENCE EQUATIONS DRIVEN BY MARTINGALES.STOCHASTIC ANALYSIS AND APPLICATIONS. VOL. 23. ISSUE 6. P. 1277-1304 3 100% 1
3 JIANG, XX , HAHN, MG , (2009) TESTING SERIAL NON-INDEPENDENCE BY SELF-CENTRING AND SELF-NORMALIZING.STATISTICS. VOL. 43. ISSUE 4. P. 315-328 4 67% 0
4 CHAO, YJ , (2002) WEAK CONVERGENCE OF A SEQUENCE OF SEMIMARTINGALES TO A DIFFUSION WITH DISCONTINUOUS DRIFT AND DIFFUSION COEFFICIENTS.QUEUEING SYSTEMS. VOL. 42. ISSUE 2. P. 153-188 4 67% 1
5 JAKUBOWSKI, A , (1986) PRINCIPLE OF CONDITIONING IN LIMIT-THEOREMS FOR SUMS OF RANDOM-VARIABLES.ANNALS OF PROBABILITY. VOL. 14. ISSUE 3. P. 902-915 6 86% 6
6 STOICA, G , LI, DL , (2010) ON THE KOLMOGOROV-FELLER LAW FOR EXCHANGEABLE RANDOM VARIABLES.STATISTICS & PROBABILITY LETTERS. VOL. 80. ISSUE 9-10. P. 899-902 2 100% 0
7 BOBKOV, SG , (2005) GENERALIZED SYMMETRIC POLYNOMIALS AND AN APPROXIMATE DE FINETTI REPRESENTATION.JOURNAL OF THEORETICAL PROBABILITY. VOL. 18. ISSUE 2. P. 399-412 3 75% 1
8 WANG, XZ , ZHAI, JH , ZHANG, SF , (2008) A MODEL OF FINITE-STEP RANDOM WALK WITH ABSORBENT BOUNDARIES.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 85. ISSUE 11. P. 1685 -1696 4 50% 0
9 TOUATI, A , (1991) ON THE FUNCTIONAL CONVERGENCE IN DISTRIBUTION OF SEQUENCES OF SEMIMARTINGALES TO A MIXTURE OF BROWNIAN MOTIONS.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 36. ISSUE 4. P. 752-771 5 71% 3
10 KUBILIUS, K , (2007) ON STRATONOVICH INTEGRAL EQUATIONS DRIVEN BY CONTINUOUS P-SEMIMARTINGALES.ACTA APPLICANDAE MATHEMATICAE. VOL. 97. ISSUE 1-3. P. 1 -13 2 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21423 LOCAL ASYMPTOTIC MIXED NORMALITY//ESTIMATING FUNCTION//BROWNIAN FLOWS
2 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
3 33771 AUTOMOTIVE TEST//UNMANNED ROBOT//DECISION TREE ENSEMBLE
4 25084 SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE
5 15725 STEINS METHOD//POISSON APPROXIMATION//COMPOUND POISSON APPROXIMATION
6 37175 IND ENGN EEI//AMINO ACID HYDROXAMATES//AREA INGN BIOQUIM IND
7 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
8 25853 EXCITED RANDOM WALK//REINFORCED RANDOM WALK//SELF INTERACTING RANDOM WALK
9 6109 FRACTIONAL BROWNIAN MOTION//ROUGH PATHS//MALLIAVIN CALCULUS
10 25518 COUPON COLLECTORS PROBLEM//ASYMMETRIC PLAY//COUPON COLLECTOR PROBLEM

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