Class information for:
Level 1: STEINS METHOD//POISSON APPROXIMATION//COMPOUND POISSON APPROXIMATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15725 696 16.6 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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
34 3       STATISTICS & PROBABILITY//STAT//COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 105938
2651 2             STEINS METHOD//ZERO INFLATION//POISSON APPROXIMATION 3468
15725 1                   STEINS METHOD//POISSON APPROXIMATION//COMPOUND POISSON APPROXIMATION 696

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 STEINS METHOD authKW 2666243 17% 51% 119
2 POISSON APPROXIMATION authKW 887806 8% 34% 59
3 COMPOUND POISSON APPROXIMATION authKW 831904 5% 59% 32
4 TOTAL VARIATION DISTANCE authKW 808577 7% 38% 48
5 STEIN CHEN METHOD authKW 455032 3% 45% 23
6 TOTAL VARIATION NORM authKW 362277 2% 52% 16
7 MARKOV BINOMIAL DISTRIBUTION authKW 350971 1% 100% 8
8 COMPOUND POISSON DISTRIBUTION authKW 317885 3% 32% 23
9 BERRY ESSEEN INEQUALITY authKW 308454 2% 47% 15
10 LOCAL NORM authKW 307099 1% 100% 7

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 68499 76% 0% 528
2 Social Sciences, Mathematical Methods 1916 7% 0% 46
3 Mathematics 859 16% 0% 114
4 Mathematics, Interdisciplinary Applications 544 7% 0% 47
5 Mathematics, Applied 186 8% 0% 54
6 Economics 172 6% 0% 44
7 Operations Research & Management Science 16 2% 0% 11
8 Computer Science, Software Engineering 15 2% 0% 11
9 Multidisciplinary Sciences 13 1% 0% 7
10 Engineering, Industrial 8 1% 0% 6

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 SPST 74117 1% 24% 7
2 INFORMAT PROBLEMS 50759 2% 9% 13
3 SECT STAT OPERAT 50133 1% 29% 4
4 DIPARTIMENTO SCI ATTUARIALI 43871 0% 100% 1
5 INFORMAT PROBLEM 43871 0% 100% 1
6 INFORMAT PROBLEMS RUSSIAN SCI 43871 0% 100% 1
7 MAIMO 43871 0% 100% 1
8 MET ESTASISTICOS 43871 0% 100% 1
9 METODOS ESTADST 43871 0% 100% 1
10 PL MATH 3TU 43871 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 THEORY OF PROBABILITY AND ITS APPLICATIONS 185847 13% 5% 91
2 LITHUANIAN MATHEMATICAL JOURNAL 35582 2% 5% 17
3 INSURANCE MATHEMATICS & ECONOMICS 31237 6% 2% 39
4 JOURNAL OF APPLIED PROBABILITY 29111 7% 1% 48
5 ANNALS OF PROBABILITY 25249 6% 1% 43
6 BERNOULLI 19740 3% 2% 23
7 ADVANCES IN APPLIED PROBABILITY 14150 4% 1% 25
8 STATISTICS & PROBABILITY LETTERS 13860 7% 1% 48
9 ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 13650 1% 3% 9
10 ELECTRONIC JOURNAL OF PROBABILITY 6128 2% 1% 12

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 STEINS METHOD 2666243 17% 51% 119 Search STEINS+METHOD Search STEINS+METHOD
2 POISSON APPROXIMATION 887806 8% 34% 59 Search POISSON+APPROXIMATION Search POISSON+APPROXIMATION
3 COMPOUND POISSON APPROXIMATION 831904 5% 59% 32 Search COMPOUND+POISSON+APPROXIMATION Search COMPOUND+POISSON+APPROXIMATION
4 TOTAL VARIATION DISTANCE 808577 7% 38% 48 Search TOTAL+VARIATION+DISTANCE Search TOTAL+VARIATION+DISTANCE
5 STEIN CHEN METHOD 455032 3% 45% 23 Search STEIN+CHEN+METHOD Search STEIN+CHEN+METHOD
6 TOTAL VARIATION NORM 362277 2% 52% 16 Search TOTAL+VARIATION+NORM Search TOTAL+VARIATION+NORM
7 MARKOV BINOMIAL DISTRIBUTION 350971 1% 100% 8 Search MARKOV+BINOMIAL+DISTRIBUTION Search MARKOV+BINOMIAL+DISTRIBUTION
8 COMPOUND POISSON DISTRIBUTION 317885 3% 32% 23 Search COMPOUND+POISSON+DISTRIBUTION Search COMPOUND+POISSON+DISTRIBUTION
9 BERRY ESSEEN INEQUALITY 308454 2% 47% 15 Search BERRY+ESSEEN+INEQUALITY Search BERRY+ESSEEN+INEQUALITY
10 LOCAL NORM 307099 1% 100% 7 Search LOCAL+NORM Search LOCAL+NORM

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 ZACHAROVAS, V , HWANG, HK , (2010) A CHARLIER-PARSEVAL APPROACH TO POISSON APPROXIMATION AND ITS APPLICATIONS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 50. ISSUE 1. P. 88 -119 36 90% 1
2 CHEN, LHY , ROLLIN, A , (2013) APPROXIMATING DEPENDENT RARE EVENTS.BERNOULLI. VOL. 19. ISSUE 4. P. 1243-1267 27 71% 3
3 SKIPPER, M , (2012) A POLYA APPROXIMATION TO THE POISSON-BINOMIAL LAW.JOURNAL OF APPLIED PROBABILITY. VOL. 49. ISSUE 3. P. 745 -757 20 100% 0
4 XIA, AH , ZHANG, FX , (2012) ON THE ASYMPTOTICS OF LOCALLY DEPENDENT POINT PROCESSES.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 122. ISSUE 9. P. 3033-3065 19 100% 2
5 SHEVTSOVA, I , (2014) ON THE ACCURACY OF THE APPROXIMATION OF THE COMPLEX EXPONENT BY THE FIRST TERMS OF ITS TAYLOR EXPANSION WITH APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 418. ISSUE 1. P. 185-210 19 95% 1
6 CEKANAVICIUS, V , VELLAISAMY, P , (2015) DISCRETE APPROXIMATIONS FOR SUMS OF M-DEPENDENT RANDOM VARIABLES.ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS. VOL. 12. ISSUE 2. P. 765 -792 17 89% 0
7 CEKANAVICIUS, V , ROOS, B , (2009) POISSON TYPE APPROXIMATIONS FOR THE MARKOV BINOMIAL DISTRIBUTION.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 119. ISSUE 1. P. 190 -207 18 95% 1
8 PEKOZ, EA , ROLLIN, A , CEKANAVICIUS, V , SHWARTZ, M , (2009) A THREE-PARAMETER BINOMIAL APPROXIMATION.JOURNAL OF APPLIED PROBABILITY. VOL. 46. ISSUE 4. P. 1073 -1085 16 100% 2
9 NOVAK, SY , XIA, A , (2012) ON EXCEEDANCES OF HIGH LEVELS.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 122. ISSUE 2. P. 582 -599 16 89% 0
10 CEKANAVICIUS, V , WANG, YH , (2003) COMPOUND POISSON APPROXIMATIONS FOR SUMS OF DISCRETE NONLATTICE VARIABLES.ADVANCES IN APPLIED PROBABILITY. VOL. 35. ISSUE 1. P. 228 -250 18 95% 1

Classes with closest relation at Level 1


Rank Class id link
1 26498 PINSKERS INEQUALITY//COVARIANCE IDENTITY//CHERNOFF TYPE INEQUALITY
2 17260 SUCCESS RUNS//DISTRIBUTIONS OF ORDER K//PROBABILITY GENERATING FUNCTION
3 15512 SELF NORMALIZED SUMS//DOMAIN OF ATTRACTION OF THE NORMAL LAW//ST PETERSBURG GAME
4 20897 COMONOTONICITY//SUPERMODULAR ORDER//COMPLETE MIXABILITY
5 25518 COUPON COLLECTORS PROBLEM//ASYMMETRIC PLAY//COUPON COLLECTOR PROBLEM
6 31043 EXCHANGEABLE RANDOM VARIABLE//KOLMOGOROV FELLER WEAK LAW OF LARGE NUMBERS//BERRY ESSEEN TYPE ESTIMATE
7 34905 SANTA FE BAR PROBLEM//POTLUCK PROBLEM//WEIGHTED MAJORITY ALGORITHM
8 36653 CLASS SPECIFIC FEATURES//EXPONENTIALLY EMBEDDED FAMILY//EXPONENTIALLY EMBEDDED FAMILY EEF
9 15701 U STATISTICS//BOUNDS FOR TAIL PROBABILITIES//HOEFFDINGS INEQUALITIES
10 19409 SHERRINGTON KIRKPATRICK MODEL//PARISI FORMULA//CURIE WEISS POTTS MODEL

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