Class information for:
Level 1: COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5012 1688 15.8 41%


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
5012 1                   COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE 1688

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 COMPLETE CONVERGENCE authKW 3322338 13% 86% 213
2 WEIGHTED SUMS authKW 1214057 6% 62% 109
3 COMPLETE MOMENT CONVERGENCE authKW 1194834 4% 97% 68
4 STRONG LAW OF LARGE NUMBERS authKW 1022407 8% 41% 137
5 NEGATIVELY ASSOCIATED RANDOM VARIABLES authKW 643118 2% 89% 40
6 PRECISE ASYMPTOTICS authKW 492790 2% 72% 38
7 ALMOST SURE CONVERGENCE authKW 362392 4% 30% 67
8 NEGATIVELY ASSOCIATED authKW 282393 1% 71% 22
9 REAL SEPARABLE BANACH SPACE authKW 253231 1% 100% 14
10 LAW OF THE ITERATED LOGARITHM authKW 241790 4% 19% 69

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 99454 59% 1% 993
2 Mathematics 11935 37% 0% 621
3 Mathematics, Applied 6722 26% 0% 434
4 Mathematics, Interdisciplinary Applications 90 2% 0% 36
5 Computer Science, Cybernetics 14 0% 0% 6
6 Social Sciences, Mathematical Methods 8 0% 0% 7
7 Multidisciplinary Sciences 0 0% 0% 5
8 Paleontology -1 0% 0% 1
9 Physics, Mathematical -3 0% 0% 7
10 Automation & Control Systems -4 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 NUMBER THEORY PROBABIL THEORY 62359 1% 34% 10
2 MATH INFORMAT STAT 56139 1% 15% 21
3 MATH GEOBIOTEC 36176 0% 100% 2
4 PROBAB STAT 36176 0% 100% 2
5 STAT COMPLEX SYST 28303 0% 26% 6
6 BASIC NAT SCI 19256 0% 15% 7
7 ABT ZAHLENTHEORIE WAHRSHEINLICHKEITSTHEORIE 18088 0% 100% 1
8 ACCOUNTANT 18088 0% 100% 1
9 CNRS EQUIPE ANAL 18088 0% 100% 1
10 CODING TECHNOL SECT 1 18088 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 159362 15% 3% 253
2 JOURNAL OF THEORETICAL PROBABILITY 52986 3% 5% 58
3 ANNALS OF PROBABILITY 49732 6% 3% 94
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 42327 5% 3% 88
5 THEORY OF PROBABILITY AND ITS APPLICATIONS 39005 4% 3% 65
6 ABEL SYMPOSIA 23947 2% 4% 37
7 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 19016 1% 4% 25
8 STOCHASTIC ANALYSIS AND APPLICATIONS 16826 1% 4% 22
9 STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC REPORTS 13266 1% 6% 13
10 JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 12956 2% 2% 29

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 COMPLETE CONVERGENCE 3322338 13% 86% 213 Search COMPLETE+CONVERGENCE Search COMPLETE+CONVERGENCE
2 WEIGHTED SUMS 1214057 6% 62% 109 Search WEIGHTED+SUMS Search WEIGHTED+SUMS
3 COMPLETE MOMENT CONVERGENCE 1194834 4% 97% 68 Search COMPLETE+MOMENT+CONVERGENCE Search COMPLETE+MOMENT+CONVERGENCE
4 STRONG LAW OF LARGE NUMBERS 1022407 8% 41% 137 Search STRONG+LAW+OF+LARGE+NUMBERS Search STRONG+LAW+OF+LARGE+NUMBERS
5 NEGATIVELY ASSOCIATED RANDOM VARIABLES 643118 2% 89% 40 Search NEGATIVELY+ASSOCIATED+RANDOM+VARIABLES Search NEGATIVELY+ASSOCIATED+RANDOM+VARIABLES
6 PRECISE ASYMPTOTICS 492790 2% 72% 38 Search PRECISE+ASYMPTOTICS Search PRECISE+ASYMPTOTICS
7 ALMOST SURE CONVERGENCE 362392 4% 30% 67 Search ALMOST+SURE+CONVERGENCE Search ALMOST+SURE+CONVERGENCE
8 NEGATIVELY ASSOCIATED 282393 1% 71% 22 Search NEGATIVELY+ASSOCIATED Search NEGATIVELY+ASSOCIATED
9 REAL SEPARABLE BANACH SPACE 253231 1% 100% 14 Search REAL+SEPARABLE+BANACH+SPACE Search REAL+SEPARABLE+BANACH+SPACE
10 LAW OF THE ITERATED LOGARITHM 241790 4% 19% 69 Search LAW+OF+THE+ITERATED+LOGARITHM Search LAW+OF+THE+ITERATED+LOGARITHM

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 SHEN, AT , WANG, XH , ZHU, HY , (2013) ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF RHO*-MIXING RANDOM VARIABLES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 32 97% 0
2 WANG, XJ , SI, ZY , (2015) COMPLETE CONSISTENCY OF THE ESTIMATOR OF NONPARAMETRIC REGRESSION MODEL UNDER ND SEQUENCE.STATISTICAL PAPERS. VOL. 56. ISSUE 3. P. 585 -596 27 100% 1
3 SHEN, AT , ZHANG, Y , VOLODIN, A , (2016) ON THE RATE OF CONVERGENCE IN THE STRONG LAW OF LARGE NUMBERS FOR NEGATIVELY ORTHANT-DEPENDENT RANDOM VARIABLES.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 45. ISSUE 21. P. 6209 -6222 26 100% 0
4 HAN, J , XIANG, Y , (2016) COMPLETE MOMENT CONVERGENCE OF DOUBLE-INDEXED RANDOMLY WEIGHTED SUMS OF MIXING SEQUENCES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 33 79% 0
5 SHEN, AT , WU, RC , (2013) STRONG CONVERGENCE RESULTS FOR WEIGHTED SUMS OF (RHO)OVER-TILDE-MIXING RANDOM VARIABLES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 27 100% 2
6 WU, YF , HU, TC , VOLODIN, A , (2015) COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF M-NA RANDOM VARIABLES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 25 100% 1
7 HUANG, HW , ZHANG, HJ , ZHANG, QX , PENG, JY , (2015) FURTHER STUDY ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES.KYBERNETIKA. VOL. 51. ISSUE 6. P. 960 -972 25 100% 0
8 WANG, XJ , HU, SH , VOLODIN, A , (2016) GENERAL RESULTS OF COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF SOME CLASS OF RANDOM VARIABLES.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 45. ISSUE 15. P. 4494 -4508 21 100% 2
9 WANG, XJ , GE, MM , HU, SH , WANG, XZ , (2013) THE STRONG CONSISTENCY OF THE ESTIMATOR OF FIXED-DESIGN REGRESSION MODEL UNDER NEGATIVELY DEPENDENT SEQUENCES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 25 100% 2
10 WU, Y , WANG, XJ , HU, SH , (2016) COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE NEGATIVELY SUPERADDITIVE-DEPENDENT RANDOM VARIABLES AND ITS APPLICATIONS.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 31. ISSUE 4. P. 439 -457 24 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES
2 29716 TAUBERIAN//FACTORED FOURIER SERIES//MULTIVARIATE HEAVY TAILS
3 15512 SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME
4 12978 CONDITIONAL MODE//NONPARAMETRIC REGRESSION ESTIMATION//BAHADUR EXACT SLOPE
5 18902 MARTINGALE APPROXIMATION//CHAINS WITH COMPLETE CONNECTIONS//STRICTLY STATIONARY PROCESS
6 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
7 37574 GENERALIZED ZYGMUND CLASSES//ACTA SCIENTIARUM MATHEMATICARUM//EXPANSIONS OF FUNCTIONS
8 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
9 17480 LARGE DEVIATIONS//MODERATE DEVIATIONS//LOCAL LARGE DEVIATION PRINCIPLE
10 23914 MAXIMUM QUASI LIKELIHOOD ESTIMATOR//MAXIMUM QUASI LIKELIHOOD ESTIMATE//LS ESTIMATE

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