Class information for:
Level 1: LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17480 597 18.0 29%


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
17480 1                   LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE 597

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 LARGE DEVIATIONS authKW 1143216 32% 12% 193
2 MODERATE DEVIATIONS authKW 448270 8% 19% 47
3 LOCAL LARGE DEVIATION PRINCIPLE authKW 409174 1% 100% 8
4 INTEGRO LOCAL THEOREM authKW 327336 1% 80% 8
5 TAU TOPOLOGY authKW 278463 1% 78% 7
6 SUPERLARGE DEVIATIONS authKW 263039 1% 86% 6
7 DEVIATION FUNCTION authKW 208844 1% 58% 7
8 BOGOLIUBOV MEASURE authKW 204587 1% 100% 4
9 EXTENDED LARGE DEVIATION PRINCIPLE authKW 204587 1% 100% 4
10 LOG LIKELIHOOD RATIO PROCESS authKW 204587 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 41461 64% 0% 381
2 Mathematics 1403 22% 0% 131
3 Mathematics, Applied 253 9% 0% 56
4 Physics, Mathematical 113 5% 0% 27
5 Operations Research & Management Science 12 2% 0% 9
6 Computer Science, Cybernetics 12 1% 0% 3
7 Computer Science, Information Systems 4 1% 0% 8
8 Mathematics, Interdisciplinary Applications 3 1% 0% 6
9 Computer Science, Interdisciplinary Applications 2 1% 0% 7
10 Physics, Multidisciplinary 2 3% 0% 16

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 SOBOLEV MATH SO 68194 0% 67% 2
2 AIEN 51147 0% 100% 1
3 CNRS EA 3263 51147 0% 100% 1
4 DIPARTIRNENTO ECON 51147 0% 100% 1
5 INFORMAT THEORET LEARNING GRP 51147 0% 100% 1
6 LAIL CNRS UP A EUDIL 8021 51147 0% 100% 1
7 LMAC GI 51147 0% 100% 1
8 SEMINAR WIRT AFTSSTAT 51147 0% 100% 1
9 ILYA PRIGOGINE STUDIES STAT MECH COMPLEX SY 30683 1% 20% 3
10 CNRS 756 25572 0% 50% 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 79114 9% 3% 55
2 ANNALS OF PROBABILITY 46472 9% 2% 54
3 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 26587 7% 1% 42
4 STATISTICS & PROBABILITY LETTERS 19731 9% 1% 53
5 JOURNAL OF THEORETICAL PROBABILITY 12865 3% 1% 17
6 PROBABILITY THEORY AND RELATED FIELDS 11607 4% 1% 23
7 ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES 7030 2% 1% 13
8 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 4256 1% 3% 3
9 SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A 2926 1% 2% 3
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 2893 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 LARGE DEVIATIONS 1143216 32% 12% 193 Search LARGE+DEVIATIONS Search LARGE+DEVIATIONS
2 MODERATE DEVIATIONS 448270 8% 19% 47 Search MODERATE+DEVIATIONS Search MODERATE+DEVIATIONS
3 LOCAL LARGE DEVIATION PRINCIPLE 409174 1% 100% 8 Search LOCAL+LARGE+DEVIATION+PRINCIPLE Search LOCAL+LARGE+DEVIATION+PRINCIPLE
4 INTEGRO LOCAL THEOREM 327336 1% 80% 8 Search INTEGRO+LOCAL+THEOREM Search INTEGRO+LOCAL+THEOREM
5 TAU TOPOLOGY 278463 1% 78% 7 Search TAU+TOPOLOGY Search TAU+TOPOLOGY
6 SUPERLARGE DEVIATIONS 263039 1% 86% 6 Search SUPERLARGE+DEVIATIONS Search SUPERLARGE+DEVIATIONS
7 DEVIATION FUNCTION 208844 1% 58% 7 Search DEVIATION+FUNCTION Search DEVIATION+FUNCTION
8 BOGOLIUBOV MEASURE 204587 1% 100% 4 Search BOGOLIUBOV+MEASURE Search BOGOLIUBOV+MEASURE
9 EXTENDED LARGE DEVIATION PRINCIPLE 204587 1% 100% 4 Search EXTENDED+LARGE+DEVIATION+PRINCIPLE Search EXTENDED+LARGE+DEVIATION+PRINCIPLE
10 LOG LIKELIHOOD RATIO PROCESS 204587 1% 100% 4 Search LOG+LIKELIHOOD+RATIO+PROCESS Search LOG+LIKELIHOOD+RATIO+PROCESS

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 DE ACOSTA, AD , NEY, P , (2014) LARGE DEVIATIONS FOR ADDITIVE FUNCTIONALS OF MARKOV CHAINS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 228. ISSUE 1070. P. 1-+ 13 93% 0
2 FATALOV, VR , (2011) EXACT ASYMPTOTICS OF PROBABILITIES OF LARGE DEVIATIONS FOR MARKOV CHAINS: THE LAPLACE METHOD.IZVESTIYA MATHEMATICS. VOL. 75. ISSUE 4. P. 837 -868 16 80% 0
3 FATALOV, VR , (2014) ON THE LAPLACE METHOD FOR GAUSSIAN MEASURES IN A BANACH SPACE.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 58. ISSUE 2. P. 216 -241 14 82% 0
4 MEDA, A , (2003) CONDITIONAL WEAK LAWS IN BANACH SPACES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 131. ISSUE 8. P. 2597-2609 14 100% 0
5 FATALOV, VR , (2010) EXACT ASYMPTOTICS OF LAPLACE-TYPE WIENER INTEGRALS FOR L-P-FUNCTIONALS.IZVESTIYA MATHEMATICS. VOL. 74. ISSUE 1. P. 189 -216 14 82% 0
6 FATALOV, VR , (2013) ERGODIC MEANS FOR LARGE VALUES OF T AND EXACT ASYMPTOTICS OF SMALL DEVIATIONS FOR A MULTI-DIMENSIONAL WIENER PROCESS.IZVESTIYA MATHEMATICS. VOL. 77. ISSUE 6. P. 1224 -1259 13 68% 1
7 FATALOV, VR , (2012) INTEGRAL FUNCTIONALS FOR THE EXPONENTIAL OF THE WIENER PROCESS AND THE BROWNIAN BRIDGE: EXACT ASYMPTOTICS AND LEGENDRE FUNCTIONS.MATHEMATICAL NOTES. VOL. 92. ISSUE 1-2. P. 79 -98 10 91% 0
8 CHEN, JW , (2011) LARGE DEVIATIONS FOR INHOMOGENEOUS SYSTEMS.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. VOL. 14. ISSUE 1. P. 57-78 10 91% 0
9 FATALOV, VR , (2011) LAPLACE-TYPE EXACT ASYMPTOTIC FORMULAS FOR THE BOGOLIUBOV GAUSSIAN MEASURE.THEORETICAL AND MATHEMATICAL PHYSICS. VOL. 168. ISSUE 2. P. 1112 -1149 10 91% 0
10 JIANG, H , (2016) LARGE AND MODERATE DEVIATIONS IN TESTING ORNSTEIN-UHLENBECK PROCESS WITH LINEAR DRIFT.FRONTIERS OF MATHEMATICS IN CHINA. VOL. 11. ISSUE 2. P. 291 -307 9 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
2 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
3 23914 MAXIMUM QUASI LIKELIHOOD ESTIMATOR//MAXIMUM QUASI LIKELIHOOD ESTIMATE//LS ESTIMATE
4 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
5 20543 FORK JOIN QUEUES//GI G 1 TYPE MARKOV CHAIN//SUBEXPONENTIAL ASYMPTOTICS
6 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
7 20297 RARE EVENT SIMULATION//IMPORTANCE SAMPLING//RARE EVENTS
8 31996 SHANNON MCMILLAN THEOREM//STRONG DEVIATION THEOREM//BIFURCATING AUTOREGRESSIVE PROCESS
9 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
10 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES

Go to start page