Class information for:
Level 1: ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23504 344 15.5 42%


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
23504 1                   ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES 344

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 ALMOST SURE CENTRAL LIMIT THEOREM authKW 5203045 21% 83% 71
2 ALMOST SURE LIMIT THEOREM authKW 1777394 8% 69% 29
3 LOGARITHMIC AVERAGES authKW 1174827 4% 88% 15
4 PRODUCTS OF SUMS authKW 806952 3% 91% 10
5 STATIONARY GAUSSIAN SEQUENCE authKW 554773 3% 63% 10
6 MATH STAT PROBABIL address 543683 2% 88% 7
7 JOINT LIMIT DISTRIBUTION authKW 369852 1% 83% 5
8 ALMOST SURE LOCAL CENTRAL LIMIT THEOREM authKW 355060 1% 100% 4
9 GENERALIZED ALLOCATION SCHEME authKW 355060 1% 100% 4
10 NATURAL DIVISOR authKW 355060 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 17093 54% 0% 186
2 Mathematics 2960 40% 0% 139
3 Mathematics, Applied 805 20% 0% 69
4 Mathematics, Interdisciplinary Applications 6 1% 0% 5
5 Multidisciplinary Sciences 4 1% 0% 3
6 Mathematical & Computational Biology -0 0% 0% 1
7 Computer Science, Theory & Methods -0 1% 0% 2
8 Operations Research & Management Science -0 0% 0% 1
9 Physics, Mathematical -1 0% 0% 1
10 Physics, Condensed Matter -5 1% 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 MATH STAT PROBABIL 543683 2% 88% 7
2 CHEBOTAREV MATH MECH 192952 3% 22% 10
3 ABT ZAHLENTHEORIE WAHR EINLICHKEITSTHEORIE 177526 1% 50% 4
4 ABT ZAHLEN WAHRS EINLICHKEITSTHEORIE 88765 0% 100% 1
5 BOLYAI KOLLEGIUMA 88765 0% 100% 1
6 FUNDAMENT STUDIES 88765 0% 100% 1
7 TERMESZETTUDOMANYI KAR VALOSZINUSEGELMETETI STA 88765 0% 100% 1
8 VALOSZINUSEGSZAMITAS MATEMAT STAT TANSZEK 88765 0% 100% 1
9 WYDZIAL MATEMAT INFORMART MECH 88765 0% 100% 1
10 WYDZIAT MATEMAT NAUK INFORMAC 88765 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 STATISTICS & PROBABILITY LETTERS 29328 14% 1% 49
2 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 21351 3% 2% 12
3 THEORY OF PROBABILITY AND ITS APPLICATIONS 20002 6% 1% 21
4 PROBABILITY AND MATHEMATICAL STATISTICS-POLAND 9275 1% 3% 4
5 LITHUANIAN MATHEMATICAL JOURNAL 8964 2% 2% 6
6 JOURNAL OF THEORETICAL PROBABILITY 7726 3% 1% 10
7 EXTREMES 6920 1% 2% 4
8 JOURNAL OF INEQUALITIES AND APPLICATIONS 6863 5% 0% 16
9 APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B 5212 1% 1% 5
10 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 4408 4% 0% 13

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 ALMOST SURE CENTRAL LIMIT THEOREM 5203045 21% 83% 71 Search ALMOST+SURE+CENTRAL+LIMIT+THEOREM Search ALMOST+SURE+CENTRAL+LIMIT+THEOREM
2 ALMOST SURE LIMIT THEOREM 1777394 8% 69% 29 Search ALMOST+SURE+LIMIT+THEOREM Search ALMOST+SURE+LIMIT+THEOREM
3 LOGARITHMIC AVERAGES 1174827 4% 88% 15 Search LOGARITHMIC+AVERAGES Search LOGARITHMIC+AVERAGES
4 PRODUCTS OF SUMS 806952 3% 91% 10 Search PRODUCTS+OF+SUMS Search PRODUCTS+OF+SUMS
5 STATIONARY GAUSSIAN SEQUENCE 554773 3% 63% 10 Search STATIONARY+GAUSSIAN+SEQUENCE Search STATIONARY+GAUSSIAN+SEQUENCE
6 JOINT LIMIT DISTRIBUTION 369852 1% 83% 5 Search JOINT+LIMIT+DISTRIBUTION Search JOINT+LIMIT+DISTRIBUTION
7 ALMOST SURE LOCAL CENTRAL LIMIT THEOREM 355060 1% 100% 4 Search ALMOST+SURE+LOCAL+CENTRAL+LIMIT+THEOREM Search ALMOST+SURE+LOCAL+CENTRAL+LIMIT+THEOREM
8 GENERALIZED ALLOCATION SCHEME 355060 1% 100% 4 Search GENERALIZED+ALLOCATION+SCHEME Search GENERALIZED+ALLOCATION+SCHEME
9 NATURAL DIVISOR 355060 1% 100% 4 Search NATURAL+DIVISOR Search NATURAL+DIVISOR
10 PRODUCT OF PARTIAL SUMS 355060 1% 100% 4 Search PRODUCT+OF+PARTIAL+SUMS Search PRODUCT+OF+PARTIAL+SUMS

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 WU, QY , (2017) AN EXTENSION OF ALMOST SURE CENTRAL LIMIT THEOREM FOR THE MAXIMUM OF STATIONARY GAUSSIAN RANDOM FIELDS.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 46. ISSUE 8. P. 3667 -3675 19 95% 0
2 WU, QY , (2015) IMPROVED RESULTS IN ALMOST SURE CENTRAL LIMIT THEOREMS FOR THE MAXIMA AND PARTIAL SUMS FOR GAUSSIAN SEQUENCES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 19 95% 0
3 ZENG, X , WU, QY , (2016) A NOTE ON THE ALMOST SURE CENTRAL LIMIT THEOREMS FOR THE MAXIMA OF STRONGLY DEPENDENT NONSTATIONARY GAUSSIAN VECTOR SEQUENCES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 100% 0
4 WU, QY , JIANG, YY , (2016) ALMOST SURE CENTRAL LIMIT THEOREM FOR SELF-NORMALIZED PARTIAL SUMS AND MAXIMA.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 110. ISSUE 2. P. 699 -710 18 90% 0
5 TAN, ZQ , YANG, Y , (2015) THE MAXIMA AND SUMS OF MULTIVARIATE NON-STATIONARY GAUSSIAN SEQUENCES.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 30. ISSUE 2. P. 197 -209 16 100% 1
6 ZENG, X , WU, QY , (2015) THE IMPROVED RESULTS IN ALMOST SURE CENTRAL LIMIT THEOREM FOR THE MAXIMA OF STRONGLY DEPENDENT STATIONARY GAUSSIAN VECTOR SEQUENCES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 16 100% 0
7 LIN, FM , SHI, DM , JIANG, YY , (2012) SOME DISTRIBUTIONAL LIMIT THEOREMS FOR THE MAXIMA OF GAUSSIAN VECTOR SEQUENCES.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 64. ISSUE 8. P. 2497 -2506 17 100% 1
8 HOERMANN, S , (2007) ON THE UNIVERSAL AS CENTRAL LIMIT THEOREM.ACTA MATHEMATICA HUNGARICA. VOL. 116. ISSUE 4. P. 377 -398 19 100% 0
9 ZHU, CL , (2015) A GENERALIZATION OF ALMOST SURE LOCAL LIMIT THEOREM OF UNIFORM EMPIRICAL PROCESS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 15 100% 0
10 WU, QY , CHEN, PY , (2013) AN IMPROVED RESULT IN ALMOST SURE CENTRAL LIMIT THEOREM FOR SELF-NORMALIZED PRODUCTS OF PARTIAL SUMS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 89% 2

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 18422 EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA
3 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
4 3615 EXTREME VALUE INDEX//EXTREMES//EXTREME VALUE THEORY
5 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
6 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
7 20612 STOCHASTIC APPROXIMATION//NOISE SEQUENCES//RECURSIVE ESTIMATORS
8 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
9 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
10 18813 SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING

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