Class information for:
Level 1: U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15701 697 15.1 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
15701 1                   U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES 697

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 U STATISTICS authKW 400178 9% 15% 60
2 BOUNDS FOR TAIL PROBABILITIES authKW 350467 1% 100% 8
3 HOEFFDINGS INEQUALITIES authKW 262850 1% 100% 6
4 RANDOM PERMANENT authKW 262850 1% 100% 6
5 ROSENTHAL INEQUALITY authKW 252324 2% 48% 12
6 PROBABILITY INEQUALITIES authKW 211515 2% 37% 13
7 STABLE INTEGRALS authKW 175233 1% 100% 4
8 TAIL AND MOMENT ESTIMATES authKW 175233 1% 100% 4
9 THEORY OF PROBABILITY AND ITS APPLICATIONS journal 169616 12% 4% 87
10 WALDS EQUATION authKW 157705 1% 60% 6

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 54327 68% 0% 471
2 Mathematics 2218 25% 0% 176
3 Mathematics, Applied 203 8% 0% 56
4 Physics, Mathematical 31 3% 0% 18
5 Multidisciplinary Sciences 8 1% 0% 6
6 Social Sciences, Mathematical Methods 1 0% 0% 2
7 Operations Research & Management Science 1 1% 0% 5
8 Mathematics, Interdisciplinary Applications 1 1% 0% 5
9 Physics, Nuclear 0 1% 0% 6
10 Spectroscopy -0 1% 0% 5

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 INRIA MAS 87617 0% 100% 2
2 REGULAR TEAM 82997 1% 32% 6
3 COMP FAR E BRANCH 43808 0% 100% 1
4 IMMMATH 43808 0% 100% 1
5 MATEMAT FIS LICADA CC NAT 43808 0% 100% 1
6 UMR 5083BP 46 43808 0% 100% 1
7 VIDMANTAS BENTKUS 43808 0% 100% 1
8 LMBA 25241 1% 8% 7
9 MATH BRETAGNE ATLANT 21903 0% 50% 1
10 ULTAD MATEMAT 21903 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 169616 12% 4% 87
2 ANNALS OF PROBABILITY 98684 12% 3% 85
3 JOURNAL OF THEORETICAL PROBABILITY 44125 5% 3% 34
4 STATISTICS & PROBABILITY LETTERS 30349 10% 1% 71
5 PROBABILITY THEORY AND RELATED FIELDS 16921 4% 1% 30
6 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 9387 4% 1% 27
7 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 8917 2% 2% 11
8 JOURNAL OF MULTIVARIATE ANALYSIS 7644 4% 1% 25
9 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 5780 2% 1% 12
10 LITHUANIAN MATHEMATICAL JOURNAL 4418 1% 2% 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 U STATISTICS 400178 9% 15% 60 Search U+STATISTICS Search U+STATISTICS
2 BOUNDS FOR TAIL PROBABILITIES 350467 1% 100% 8 Search BOUNDS+FOR+TAIL+PROBABILITIES Search BOUNDS+FOR+TAIL+PROBABILITIES
3 HOEFFDINGS INEQUALITIES 262850 1% 100% 6 Search HOEFFDINGS+INEQUALITIES Search HOEFFDINGS+INEQUALITIES
4 RANDOM PERMANENT 262850 1% 100% 6 Search RANDOM+PERMANENT Search RANDOM+PERMANENT
5 ROSENTHAL INEQUALITY 252324 2% 48% 12 Search ROSENTHAL+INEQUALITY Search ROSENTHAL+INEQUALITY
6 PROBABILITY INEQUALITIES 211515 2% 37% 13 Search PROBABILITY+INEQUALITIES Search PROBABILITY+INEQUALITIES
7 STABLE INTEGRALS 175233 1% 100% 4 Search STABLE+INTEGRALS Search STABLE+INTEGRALS
8 TAIL AND MOMENT ESTIMATES 175233 1% 100% 4 Search TAIL+AND+MOMENT+ESTIMATES Search TAIL+AND+MOMENT+ESTIMATES
9 WALDS EQUATION 157705 1% 60% 6 Search WALDS+EQUATION Search WALDS+EQUATION
10 PROBABILITIES OF LARGE DEVIATIONS 143367 1% 55% 6 Search PROBABILITIES+OF+LARGE+DEVIATIONS Search PROBABILITIES+OF+LARGE+DEVIATIONS

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 LA PENA, VH , IBRAGIMOV, R , SHARAKHMETOV, S , (2003) ON EXTREMAL DISTRIBUTIONS AND SHARP L-P-BOUNDS FOR SUMS OF MULTILINEAR FORMS.ANNALS OF PROBABILITY. VOL. 31. ISSUE 2. P. 630-675 20 95% 10
2 PINELIS, I , (2012) AN ASYMPTOTICALLY GAUSSIAN BOUND ON THE RADEMACHER TAILS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 17. ISSUE . P. 1-22 22 67% 3
3 IBRAGIMOV, R , SHARAKHMETOV, S , CECEN, A , (2001) EXACT ESTIMATES FOR MOMENTS OF RANDOM BILINEAR FORMS.JOURNAL OF THEORETICAL PROBABILITY. VOL. 14. ISSUE 1. P. 21-37 20 91% 0
4 PINELIS, I , (2016) OPTIMAL BINOMIAL, POISSON, AND NORMAL LEFT-TAIL DOMINATION FOR SUMS OF NONNEGATIVE RANDOM VARIABLES.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 21. ISSUE . P. - 13 93% 0
5 PINELIS, I , (2015) BEST POSSIBLE BOUNDS OF THE VON BAHR-ESSEEN TYPEIOSIF PINELIS.ANNALS OF FUNCTIONAL ANALYSIS. VOL. 6. ISSUE 4. P. 1 -29 13 93% 0
6 IBRAGIMOV, R , SHARAKHMETOV, S , (2002) BOUNDS ON MOMENTS OF SYMMETRIC STATISTICS.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 39. ISSUE 3-4. P. 251-275 13 100% 3
7 BENTKUS, V , JUSKEVICIUS, T , (2008) BOUNDS FOR TAIL PROBABILITIES OF MARTINGALES USING SKEWNESS AND KURTOSIS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 48. ISSUE 1. P. 30-37 10 100% 2
8 BENTKUS, V , (2008) AN EXTENSION OF THE HOEFFDING INEQUALITY TO UNBOUNDED RANDOM VARIABLES.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 48. ISSUE 2. P. 137-157 10 100% 2
9 IBRAGIMOV, M , IBRAGIMOV, R , (2008) OPTIMAL CONSTANTS IN THE ROSENTHAL INEQUALITY FOR RANDOM VARIABLES WITH ZERO ODD MOMENTS.STATISTICS & PROBABILITY LETTERS. VOL. 78. ISSUE 2. P. 186-189 10 100% 1
10 PINELIS, I , (2015) EXACT ROSENTHAL-TYPE BOUNDS.ANNALS OF PROBABILITY. VOL. 43. ISSUE 5. P. 2511 -2544 10 83% 0

Classes with closest relation at Level 1


Rank Class id link
1 15512 SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME
2 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
3 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
4 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
5 37376 UNIVERSAL TESTING SEQUENCE//DECIDABILITY IN THE LIMIT//WEAK CONFORMANCE
6 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
7 31043 EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE
8 15725 STEINS METHOD//POISSON APPROXIMATION//COMPOUND POISSON APPROXIMATION
9 33408 AUDIT SAMPLING//DOLLAR UNIT SAMPLING//MONETARY UNIT SAMPLING
10 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES

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