Class information for:
Level 1: SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15512 708 17.3 31%


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
15512 1                   SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME 708

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 SELF NORMALIZED SUMS authKW 1329028 6% 72% 43
2 DOMAIN OF ATTRACTION OF THE NORMAL LAW authKW 336844 2% 46% 17
3 ST PETERSBURG GAME authKW 268713 1% 69% 9
4 BERRY ESSEEN BOUND authKW 260891 3% 28% 22
5 TRIMMED SUMS authKW 237191 2% 50% 11
6 STUDENTIZED U STATISTICS authKW 234803 1% 78% 7
7 STUDENT T STATISTIC authKW 221798 1% 86% 6
8 GENERALIZED ST PETERSBURG GAMES authKW 215638 1% 100% 5
9 SELF NORMALIZED authKW 205360 1% 48% 10
10 CRAMER LARGE DEVIATION authKW 179697 1% 83% 5

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 65280 73% 0% 520
2 Mathematics 1586 21% 0% 152
3 Mathematics, Applied 245 9% 0% 61
4 Multidisciplinary Sciences 25 1% 0% 9
5 Social Sciences, Mathematical Methods 8 1% 0% 4
6 Mathematics, Interdisciplinary Applications 6 1% 0% 8
7 Mathematical & Computational Biology 0 0% 0% 3
8 History & Philosophy of Science 0 0% 0% 1
9 Operations Research & Management Science -0 0% 0% 3
10 Economics -0 1% 0% 7

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 ANAL STOCHAST GRP 48017 1% 16% 7
2 BIOSTAT UNIT CLIN EPIDEMIOL BIOSTAT 43128 0% 100% 1
3 CANADA CHAIR ECONOMET 43128 0% 100% 1
4 CNRSFRE 2222 43128 0% 100% 1
5 CREAR RISK 43128 0% 100% 1
6 FIANCIAL MATH 43128 0% 100% 1
7 L PROBABIL MODELES ALEATOI 43128 0% 100% 1
8 MATH 5 43128 0% 100% 1
9 STAT PL PROP 43128 0% 100% 1
10 FINANCE ACTUARIAL STUDIES STAT 32853 1% 19% 4

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 ANNALS OF PROBABILITY 86046 11% 2% 80
2 THEORY OF PROBABILITY AND ITS APPLICATIONS 79382 8% 3% 60
3 JOURNAL OF THEORETICAL PROBABILITY 33812 4% 3% 30
4 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 18587 2% 3% 16
5 ANNALS OF STATISTICS 12657 5% 1% 34
6 PROBABILITY THEORY AND RELATED FIELDS 10651 3% 1% 24
7 BERNOULLI 10592 2% 1% 17
8 SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A 9878 1% 4% 6
9 LITHUANIAN MATHEMATICAL JOURNAL 9795 1% 3% 9
10 JOURNAL OF STATISTICAL PLANNING AND INFERENCE 7659 5% 1% 33

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 SELF NORMALIZED SUMS 1329028 6% 72% 43 Search SELF+NORMALIZED+SUMS Search SELF+NORMALIZED+SUMS
2 DOMAIN OF ATTRACTION OF THE NORMAL LAW 336844 2% 46% 17 Search DOMAIN+OF+ATTRACTION+OF+THE+NORMAL+LAW Search DOMAIN+OF+ATTRACTION+OF+THE+NORMAL+LAW
3 ST PETERSBURG GAME 268713 1% 69% 9 Search ST+PETERSBURG+GAME Search ST+PETERSBURG+GAME
4 BERRY ESSEEN BOUND 260891 3% 28% 22 Search BERRY+ESSEEN+BOUND Search BERRY+ESSEEN+BOUND
5 TRIMMED SUMS 237191 2% 50% 11 Search TRIMMED+SUMS Search TRIMMED+SUMS
6 STUDENTIZED U STATISTICS 234803 1% 78% 7 Search STUDENTIZED+U+STATISTICS Search STUDENTIZED+U+STATISTICS
7 STUDENT T STATISTIC 221798 1% 86% 6 Search STUDENT+T+STATISTIC Search STUDENT+T+STATISTIC
8 GENERALIZED ST PETERSBURG GAMES 215638 1% 100% 5 Search GENERALIZED+ST+PETERSBURG+GAMES Search GENERALIZED+ST+PETERSBURG+GAMES
9 SELF NORMALIZED 205360 1% 48% 10 Search SELF+NORMALIZED Search SELF+NORMALIZED
10 CRAMER LARGE DEVIATION 179697 1% 83% 5 Search CRAMER+LARGE+DEVIATION Search CRAMER+LARGE+DEVIATION

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 WANG, QY , (2011) REFINED SELF-NORMALIZED LARGE DEVIATIONS FOR INDEPENDENT RANDOM VARIABLES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 24. ISSUE 2. P. 307 -329 27 96% 1
2 WANG, QY , HALL, P , (2009) RELATIVE ERRORS IN CENTRAL LIMIT THEOREMS FOR STUDENT'S T STATISTIC, WITH APPLICATIONS.STATISTICA SINICA. VOL. 19. ISSUE 1. P. 343-354 22 96% 5
3 BUCHMANN, B , FAN, YG , MALLER, RA , (2016) DISTRIBUTIONAL REPRESENTATIONS AND DOMINANCE OF A LEVY PROCESS OVER ITS MAXIMAL JUMP PROCESSES.BERNOULLI. VOL. 22. ISSUE 4. P. 2325 -2371 16 80% 1
4 SHAO, QM , ZHOU, WX , (2016) CRAMER TYPE MODERATE DEVIATION THEOREMS FOR SELF-NORMALIZED PROCESSES.BERNOULLI. VOL. 22. ISSUE 4. P. 2029 -2079 17 81% 0
5 HU, ZS , SHAO, QM , WANG, QY , (2009) CRAMER TYPE MODERATE DEVIATIONS FOR THE MAXIMUM OF SELF-NORMALIZED SUMS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 14. ISSUE . P. 1181-1197 14 100% 5
6 ZHAO, YX , TAO, JX , (2008) PRECISE ASYMPTOTICS IN COMPLETE MOMENT CONVERGENCE FOR SELF-NORMALIZED SUMS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 56. ISSUE 7. P. 1779-1786 16 84% 9
7 HALL, P , WANG, QY , (2004) EXACT CONVERGENCE RATE AND LEADING TERM IN CENTRAL LIMIT THEOREM FOR STUDENT'S T STATISTIC.ANNALS OF PROBABILITY. VOL. 32. ISSUE 2. P. 1419-1437 16 94% 11
8 BERKES, I , HORVATH, L , SCHAUER, J , (2012) ASYMPTOTIC BEHAVIOR OF TRIMMED SUMS.STOCHASTICS AND DYNAMICS. VOL. 12. ISSUE 1. P. - 14 88% 0
9 MASON, DM , MALLER, R , (2010) SMALL-TIME COMPACTNESS AND CONVERGENCE BEHAVIOR OF DETERMINISTICALLY AND SELF-NORMALISED LEVY PROCESSES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 4. P. 2205 -2248 16 80% 1
10 DENG, DL , (2011) PRECISE ASYMPTOTICS IN THE DEVIATION PROBABILITY SERIES OF SELF-NORMALIZED SUMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 376. ISSUE 1. P. 136-153 15 83% 0

Classes with closest relation at Level 1


Rank Class id link
1 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
2 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES
3 15725 STEINS METHOD//POISSON APPROXIMATION//COMPOUND POISSON APPROXIMATION
4 7751 BOOTSTRAP//BLOCK BOOTSTRAP//EDGEWORTH EXPANSION
5 18813 SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING
6 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
7 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
8 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
9 33546 MOST ROBUST ESTIMATE//HAMPELS PROBLEM//OPTIMAL BOUNDED INFLUENCE FUNCTION
10 33408 AUDIT SAMPLING//DOLLAR UNIT SAMPLING//MONETARY UNIT SAMPLING

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