Class information for:
Level 1: SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25084 291 15.5 23%


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
25084 1                   SET INDEXED PROCESS//ADAPTED RANDOM SET//SET INDEXED MARTINGALE 291

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 SET INDEXED PROCESS authKW 888830 4% 71% 12
2 ADAPTED RANDOM SET authKW 419728 1% 100% 4
3 SET INDEXED MARTINGALE authKW 279816 1% 67% 4
4 PREDICTABLE SIGMA ALGEBRA authKW 209864 1% 100% 2
5 STRONG MARKOV authKW 139908 1% 67% 2
6 2 PARAMETER MARKOV PROCESSES authKW 104932 0% 100% 1
7 2 PARAMETER STOCHASTIC PROCESS authKW 104932 0% 100% 1
8 4TH ORDER HIGHER ORDER authKW 104932 0% 100% 1
9 ADAPTED SET authKW 104932 0% 100% 1
10 ALMOST SURE CONVERGENCE OF INCREMENTS authKW 104932 0% 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 15917 57% 0% 165
2 Mathematics 1783 34% 0% 100
3 Mathematics, Applied 206 12% 0% 34
4 Multidisciplinary Sciences 64 3% 0% 8
5 Mathematics, Interdisciplinary Applications 9 2% 0% 5
6 Physics, Mathematical 4 2% 0% 5
7 Computer Science, Cybernetics 2 0% 0% 1
8 Computer Science, Information Systems 1 1% 0% 3
9 Automation & Control Systems -0 0% 0% 1
10 Operations Research & Management Science -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 PHARM PROBABIL LA 224 104932 0% 100% 1
2 PL LOG PROGRAMMING 104932 0% 100% 1
3 WSC 262 104932 0% 100% 1
4 CENT MATH ECON 6994 0% 7% 1
5 ESTADIST INVEST OPERAT 1 4768 0% 5% 1
6 TOUR IRMA 2913 0% 3% 1
7 PROD ROBOT 2383 0% 2% 1
8 INFORMAT CONTROL SYST 1941 0% 2% 1
9 STAT SCI IND MATH 1718 0% 2% 1
10 ESTADIST IO 1716 1% 1% 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 ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE 73440 2% 10% 7
2 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 45268 5% 3% 16
3 ANNALS OF PROBABILITY 27503 10% 1% 29
4 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 20916 9% 1% 26
5 JOURNAL OF THEORETICAL PROBABILITY 13161 4% 1% 12
6 JOURNAL OF MULTIVARIATE ANALYSIS 8487 6% 0% 17
7 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 8398 2% 2% 5
8 LECTURE NOTES IN MATHEMATICS 4224 6% 0% 17
9 STATISTICS & PROBABILITY LETTERS 3230 5% 0% 15
10 ACTA MATHEMATICA SCIENTIA 2647 3% 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 SET INDEXED PROCESS 888830 4% 71% 12 Search SET+INDEXED+PROCESS Search SET+INDEXED+PROCESS
2 ADAPTED RANDOM SET 419728 1% 100% 4 Search ADAPTED+RANDOM+SET Search ADAPTED+RANDOM+SET
3 SET INDEXED MARTINGALE 279816 1% 67% 4 Search SET+INDEXED+MARTINGALE Search SET+INDEXED+MARTINGALE
4 PREDICTABLE SIGMA ALGEBRA 209864 1% 100% 2 Search PREDICTABLE+SIGMA+ALGEBRA Search PREDICTABLE+SIGMA+ALGEBRA
5 STRONG MARKOV 139908 1% 67% 2 Search STRONG+MARKOV Search STRONG+MARKOV
6 2 PARAMETER MARKOV PROCESSES 104932 0% 100% 1 Search 2+PARAMETER+MARKOV+PROCESSES Search 2+PARAMETER+MARKOV+PROCESSES
7 2 PARAMETER STOCHASTIC PROCESS 104932 0% 100% 1 Search 2+PARAMETER+STOCHASTIC+PROCESS Search 2+PARAMETER+STOCHASTIC+PROCESS
8 4TH ORDER HIGHER ORDER 104932 0% 100% 1 Search 4TH+ORDER+HIGHER+ORDER Search 4TH+ORDER+HIGHER+ORDER
9 ADAPTED SET 104932 0% 100% 1 Search ADAPTED+SET Search ADAPTED+SET
10 ALMOST SURE CONVERGENCE OF INCREMENTS 104932 0% 100% 1 Search ALMOST+SURE+CONVERGENCE+OF+INCREMENTS Search ALMOST+SURE+CONVERGENCE+OF+INCREMENTS

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 MERZBACH, E , (2003) AN INTRODUCTION TO THE GENERAL THEORY OF SET-INDEXED MARTINGALES.TOPICS IN SPATIAL STOCHASTIC PROCESSES. VOL. 1802. ISSUE . P. 41 -84 48 83% 1
2 BALANCA, P , (2015) AN INCREMENT-TYPE SET-INDEXED MARKOV PROPERTY.JOURNAL OF THEORETICAL PROBABILITY. VOL. 28. ISSUE 4. P. 1271 -1310 18 82% 0
3 HERBIN, E , MERZBACH, E , (2013) THE SET-INDEXED LEVY PROCESS: STATIONARITY, MARKOV AND SAMPLE PATHS PROPERTIES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 123. ISSUE 5. P. 1638-1670 12 80% 1
4 BALANCA, P , HERBIN, E , (2012) A SET-INDEXED ORNSTEIN-UHLENBECK PROCESS.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 17. ISSUE . P. - 11 65% 0
5 BALAN, RM , IVANOFF, BG , (2002) A MARKOV PROPERTY FOR SET-INDEXED PROCESSES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 15. ISSUE 3. P. 553-588 7 100% 5
6 NUALART, D , (1992) RANDOMIZED STOPPING POINTS AND OPTIMAL STOPPING ON THE PLANE.ANNALS OF PROBABILITY. VOL. 20. ISSUE 2. P. 883 -900 10 100% 3
7 SAADA, D , SLONOWSKY, D , (2004) THE SET-INDEXED ITO INTEGRAL.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 94. ISSUE . P. 61-89 7 88% 1
8 MAZZIOTTO, G , MERZBACH, E , (1985) REGULARITY AND DECOMPOSITION OF 2-PARAMETER SUPERMARTINGALES.JOURNAL OF MULTIVARIATE ANALYSIS. VOL. 17. ISSUE 1. P. 38-55 12 100% 0
9 SAADA, D , SLONOWSKY, D , (2006) A NOTION OF STOPPING LINE FOR SET-INDEXED PROCESSES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 19. ISSUE 2. P. 397-410 5 100% 0
10 CASSESE, G , (2010) SUPERMARTINGALE DECOMPOSITION WITH A GENERAL INDEX SET.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 120. ISSUE 7. P. 1060 -1073 7 64% 0

Classes with closest relation at Level 1


Rank Class id link
1 10493 LOCAL TIME//INTERSECTION LOCAL TIME//SELF INTERSECTION LOCAL TIME
2 31043 EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE
3 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
4 34242 FINITELY ADDITIVE INTEGRATION//SEPARABLE PROBABILITY MEASURE//SKOROHOD REPRESENTATION THEOREM
5 17339 SECRETARY PROBLEM//BEST CHOICE PROBLEM//PROPHET INEQUALITY
6 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
7 36571 MILAN IND PL MATH//MIRIAM//CAHNS TIME CONE METHOD
8 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
9 20111 STOCHASTIC FLOWS//ISOTROPIC BROWNIAN FLOW//REGULAR LAGRANGIAN FLOWS
10 13663 INDEX POLICIES//GITTINS INDEX//STOCHASTIC SCHEDULING

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