Class information for:
Level 1: MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18902 531 20.2 35%


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
1414 2             COMPLETE CONVERGENCE//STATISTICS & PROBABILITY//EXTREMES 8000
18902 1                   MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS 531

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 MARTINGALE APPROXIMATION authKW 638918 4% 56% 20
2 CHAINS WITH COMPLETE CONNECTIONS authKW 410739 2% 71% 10
3 STRICTLY STATIONARY PROCESS authKW 306684 2% 67% 8
4 HANNANS CONDITION authKW 230017 1% 100% 4
5 M DEPENDENT APPROXIMATION authKW 184012 1% 80% 4
6 PROJECTIVE CRITERIA authKW 184012 1% 80% 4
7 SCI PL RENNES address 179697 1% 63% 5
8 AFFINE RECURSION authKW 172513 1% 100% 3
9 CENTRAL LIMIT THEOREM IN BANACH SPACES authKW 172513 1% 100% 3
10 CONTRACTIVE SYSTEM authKW 172513 1% 100% 3

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 30209 58% 0% 307
2 Mathematics 2664 31% 0% 166
3 Mathematics, Applied 334 11% 0% 59
4 Physics, Mathematical 73 4% 0% 21
5 Sociology 3 1% 0% 4
6 Social Sciences, Mathematical Methods 2 0% 0% 2
7 Multidisciplinary Sciences 2 1% 0% 3
8 Mathematical & Computational Biology 1 1% 0% 3
9 Computer Science, Information Systems 1 1% 0% 5
10 Anthropology 0 0% 0% 2

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 SCI PL RENNES 179697 1% 63% 5
2 URA 0743 172513 1% 100% 3
3 INSA IRMAR 129383 1% 75% 3
4 P PAINLEVE 111511 2% 24% 8
5 MATH R HAEL SALEM 88679 4% 8% 19
6 UPECLAMA UMR 8050 76671 0% 67% 2
7 EQUIPE ERIM 64689 1% 38% 3
8 AMIENOIS MATH FONDAMENTALES PL CNRS UMR 7 57504 0% 100% 1
9 ARMENIAN SCI 57504 0% 100% 1
10 CNRS 6205 57504 0% 100% 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 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 45051 6% 3% 31
2 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 39069 9% 1% 48
3 STOCHASTICS AND DYNAMICS 38206 3% 4% 16
4 JOURNAL OF THEORETICAL PROBABILITY 31313 5% 2% 25
5 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 26741 2% 4% 11
6 ANNALS OF PROBABILITY 24513 7% 1% 37
7 PROBABILITY THEORY AND RELATED FIELDS 14217 5% 1% 24
8 LITHUANIAN MATHEMATICAL JOURNAL 13066 2% 3% 9
9 JOURNAL OF APPLIED PROBABILITY 4222 3% 0% 16
10 STATISTICS & PROBABILITY LETTERS 3799 4% 0% 22

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 MARTINGALE APPROXIMATION 638918 4% 56% 20 Search MARTINGALE+APPROXIMATION Search MARTINGALE+APPROXIMATION
2 CHAINS WITH COMPLETE CONNECTIONS 410739 2% 71% 10 Search CHAINS+WITH+COMPLETE+CONNECTIONS Search CHAINS+WITH+COMPLETE+CONNECTIONS
3 STRICTLY STATIONARY PROCESS 306684 2% 67% 8 Search STRICTLY+STATIONARY+PROCESS Search STRICTLY+STATIONARY+PROCESS
4 HANNANS CONDITION 230017 1% 100% 4 Search HANNANS+CONDITION Search HANNANS+CONDITION
5 M DEPENDENT APPROXIMATION 184012 1% 80% 4 Search M+DEPENDENT+APPROXIMATION Search M+DEPENDENT+APPROXIMATION
6 PROJECTIVE CRITERIA 184012 1% 80% 4 Search PROJECTIVE+CRITERIA Search PROJECTIVE+CRITERIA
7 AFFINE RECURSION 172513 1% 100% 3 Search AFFINE+RECURSION Search AFFINE+RECURSION
8 CENTRAL LIMIT THEOREM IN BANACH SPACES 172513 1% 100% 3 Search CENTRAL+LIMIT+THEOREM+IN+BANACH+SPACES Search CENTRAL+LIMIT+THEOREM+IN+BANACH+SPACES
9 CONTRACTIVE SYSTEM 172513 1% 100% 3 Search CONTRACTIVE+SYSTEM Search CONTRACTIVE+SYSTEM
10 ITERATED RANDOM FUNCTION 172513 1% 100% 3 Search ITERATED+RANDOM+FUNCTION Search ITERATED+RANDOM+FUNCTION

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 FERRE, D , GUIBOURG, D , (2013) REGULARITY, OF THE CHARACTERISTIC FUNCTION OF ADDITIVE FUNCTIONALS FOR ITERATED FUNCTION SYSTEMS. STATISTICAL APPLICATIONS.MARKOV PROCESSES AND RELATED FIELDS. VOL. 19. ISSUE 2. P. 299-342 21 91% 0
2 KLICNAROVA, J , VOLNY, D , WANG, YZ , (2016) LIMIT THEOREMS FOR WEIGHTED BERNOULLI RANDOM FIELDS UNDER HANNAN'S CONDITION.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 126. ISSUE 6. P. 1819 -1838 21 84% 0
3 BARRERA, D , PELIGRAD, C , PELIGRAD, M , (2016) ON THE FUNCTIONAL CLT FOR STATIONARY MARKOV CHAINS STARTED AT A POINT.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 126. ISSUE 7. P. 1885 -1900 19 83% 1
4 CUNY, C , MERLEVEDE, F , (2014) ON MARTINGALE APPROXIMATIONS AND THE QUENCHED WEAK INVARIANCE PRINCIPLE.ANNALS OF PROBABILITY. VOL. 42. ISSUE 2. P. 760 -793 22 76% 3
5 SANTIS, E , PICCIONI, M , (2015) ONE-DIMENSIONAL INFINITE MEMORY IMITATION MODELS WITH NOISE.JOURNAL OF STATISTICAL PHYSICS. VOL. 161. ISSUE 2. P. 346 -364 16 94% 0
6 MERLEVEDE, F , PELIGRAD, C , PELIGRAD, M , (2012) ALMOST SURE INVARIANCE PRINCIPLES VIA MARTINGALE APPROXIMATION.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 122. ISSUE 1. P. 170-190 18 86% 2
7 DEDECKER, J , MERLEVEDE, F , PELIGRAD, M , (2014) A QUENCHED WEAK INVARIANCE PRINCIPLE.ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. VOL. 50. ISSUE 3. P. 872 -898 18 82% 0
8 KLICNAROVA, J , VOLNY, D , (2013) ON ZHAO-WOODROOFE'S CONDITION FOR MARTINGALE APPROXIMATION.ELECTRONIC COMMUNICATIONS IN PROBABILITY. VOL. 18. ISSUE . P. 1-8 12 100% 0
9 DEHLING, H , DURIEU, O , TUSCHE, M , (2014) A SEQUENTIAL EMPIRICAL CLT FOR MULTIPLE MIXING PROCESSES WITH APPLICATION TO B-GEOMETRICALLY ERGODIC MARKOV CHAINS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 19. ISSUE . P. - 15 71% 0
10 GALLO, S , TAKAHASHI, DY , (2014) ATTRACTIVE REGULAR STOCHASTIC CHAINS: PERFECT SIMULATION AND PHASE TRANSITION.ERGODIC THEORY AND DYNAMICAL SYSTEMS. VOL. 34. ISSUE . P. 1567 -1586 12 86% 2

Classes with closest relation at Level 1


Rank Class id link
1 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
2 3600 ABSOLUTELY CONTINUOUS INVARIANT MEASURES//FROBENIUS PERRON OPERATOR//ERGODIC THEORY AND DYNAMICAL SYSTEMS
3 12978 CONDITIONAL MODE//NONPARAMETRIC REGRESSION ESTIMATION//BAHADUR EXACT SLOPE
4 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
5 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES
6 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
7 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
8 5121 LONG MEMORY//FRACTIONAL INTEGRATION//LONG RANGE DEPENDENCE
9 11654 RANDOM WALK IN RANDOM ENVIRONMENT//RANDOM ENVIRONMENT//RANDOM WALKS IN RANDOM ENVIRONMENTS
10 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP

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