Class information for:
Level 1: DOUBLY NONCENTRAL//GEOMETRIC REPRESENTATION FORMULAE//NONCENTRAL BETA DISTRIBUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27990 216 16.0 28%


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
3870 2             MICROPOPULATION//INTEGRATED EMPIRICAL PROCESS//INSPECTION RELIABILITY 872
27990 1                   DOUBLY NONCENTRAL//GEOMETRIC REPRESENTATION FORMULAE//NONCENTRAL BETA DISTRIBUTION 216

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 DOUBLY NONCENTRAL authKW 424103 1% 100% 3
2 GEOMETRIC REPRESENTATION FORMULAE authKW 424103 1% 100% 3
3 NONCENTRAL BETA DISTRIBUTION authKW 323122 2% 57% 4
4 CIRCULAR ERROR PROBABLE authKW 282735 1% 100% 2
5 COMPUTATIONAL ALGEBRA SYSTEMS authKW 282735 1% 100% 2
6 INVERSE CDF authKW 282735 1% 100% 2
7 NONCENTRAL BETA authKW 282735 1% 100% 2
8 INCOMPLETE BETA INTEGRAL authKW 188489 1% 67% 2
9 ITERATIVE INTEGRATION authKW 188489 1% 67% 2
10 QUANTILE MECHANICS authKW 188489 1% 67% 2

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 7526 45% 0% 98
2 Mathematics, Applied 603 22% 0% 47
3 Computer Science, Interdisciplinary Applications 464 13% 0% 28
4 Computer Science, Software Engineering 352 10% 0% 21
5 Mathematics, Interdisciplinary Applications 44 4% 0% 8
6 Psychology, Mathematical 31 1% 0% 2
7 Ergonomics 17 1% 0% 2
8 Psychology, Multidisciplinary 14 2% 0% 5
9 Computer Science, Theory & Methods 12 3% 0% 6
10 Engineering, Industrial 9 1% 0% 3

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 ASSOCIAT EURATOM MEC 141368 0% 100% 1
2 ELE ON FONDAMENTALE BATIMENT 220 141368 0% 100% 1
3 MATEMAT LICADA CC COMPUTACI 141368 0% 100% 1
4 NEW ENGLAND HEALTHCARE ENGN 141368 0% 100% 1
5 UNIT 95949 141368 0% 100% 1
6 MATEMAT LICADA CIENCIAS COMPUT 70683 0% 50% 1
7 MATEMAT ESTADIST COMPUT 47121 0% 33% 1
8 MICHIGAN DATA SCI MIDAS 47121 0% 33% 1
9 RUMENTAT SCI OPTO ELECT ENGN 47121 0% 33% 1
10 SOCR 47121 0% 33% 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 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 39518 8% 2% 18
2 APPLIED STATISTICS-JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C 17750 2% 3% 5
3 JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS 14174 5% 1% 11
4 AMERICAN STATISTICIAN 8194 5% 1% 10
5 COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 6558 6% 0% 12
6 JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION 3485 4% 0% 8
7 COMPUTATIONAL STATISTICS & DATA ANALYSIS 3448 5% 0% 11
8 ANNEE PSYCHOLOGIQUE 2653 2% 0% 4
9 HEALTH CARE MANAGEMENT SCIENCE 2037 1% 1% 2
10 COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 1414 4% 0% 9

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 DOUBLY NONCENTRAL 424103 1% 100% 3 Search DOUBLY+NONCENTRAL Search DOUBLY+NONCENTRAL
2 GEOMETRIC REPRESENTATION FORMULAE 424103 1% 100% 3 Search GEOMETRIC+REPRESENTATION+FORMULAE Search GEOMETRIC+REPRESENTATION+FORMULAE
3 NONCENTRAL BETA DISTRIBUTION 323122 2% 57% 4 Search NONCENTRAL+BETA+DISTRIBUTION Search NONCENTRAL+BETA+DISTRIBUTION
4 CIRCULAR ERROR PROBABLE 282735 1% 100% 2 Search CIRCULAR+ERROR+PROBABLE Search CIRCULAR+ERROR+PROBABLE
5 COMPUTATIONAL ALGEBRA SYSTEMS 282735 1% 100% 2 Search COMPUTATIONAL+ALGEBRA+SYSTEMS Search COMPUTATIONAL+ALGEBRA+SYSTEMS
6 INVERSE CDF 282735 1% 100% 2 Search INVERSE+CDF Search INVERSE+CDF
7 NONCENTRAL BETA 282735 1% 100% 2 Search NONCENTRAL+BETA Search NONCENTRAL+BETA
8 INCOMPLETE BETA INTEGRAL 188489 1% 67% 2 Search INCOMPLETE+BETA+INTEGRAL Search INCOMPLETE+BETA+INTEGRAL
9 ITERATIVE INTEGRATION 188489 1% 67% 2 Search ITERATIVE+INTEGRATION Search ITERATIVE+INTEGRATION
10 QUANTILE MECHANICS 188489 1% 67% 2 Search QUANTILE+MECHANICS Search QUANTILE+MECHANICS

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 BAHAREV, A , KEMENY, S , (2008) ON THE COMPUTATION OF THE NONCENTRAL F AND NONCENTRAL BETA DISTRIBUTION.STATISTICS AND COMPUTING. VOL. 18. ISSUE 3. P. 333-340 15 94% 1
2 GIL, A , SEGURA, J , TEMME, NM , (2017) EFFICIENT ALGORITHMS FOR THE INVERSION OF THE CUMULATIVE CENTRAL BETA DISTRIBUTION.NUMERICAL ALGORITHMS. VOL. 74. ISSUE 1. P. 77 -91 5 83% 1
3 DE OLIVEIRA, IRC , FERREIRA, DF , (2013) COMPUTING THE NONCENTRAL GAMMA DISTRIBUTION, ITS INVERSE AND THE NONCENTRALITY PARAMETER.COMPUTATIONAL STATISTICS. VOL. 28. ISSUE 4. P. 1663-1680 6 100% 0
4 DING, CG , (1997) ON USING NEWTON'S METHOD FOR COMPUTING THE NONCENTRALITY PARAMETER OF THE NONCENTRAL F DISTRIBUTION.COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION. VOL. 26. ISSUE 1. P. 259-268 10 91% 1
5 DING, CG , (1999) AN EFFICIENT ALGORITHM FOR COMPUTING QUANTILES OF THE NONCENTRAL CHI-SQUARED DISTRIBUTION.COMPUTATIONAL STATISTICS & DATA ANALYSIS. VOL. 29. ISSUE 3. P. 253-259 9 90% 3
6 CHATTAMVELLI, R , SHANMUGAM, R , (1997) AS 310 - COMPUTING THE NON-CENTRAL BETA DISTRIBUTION FUNCTION.JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS. VOL. 46. ISSUE 1. P. 146-156 8 89% 4
7 NADARAJAH, S , KOTZ, S , (2007) EXACT COMPUTATIONS FOR THE COHERENCE ESTIMATE.MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING. VOL. 45. ISSUE 7. P. 701-705 6 86% 0
8 CHEN, ZY , CHOU, YC , (2000) COMPUTING THE NONCENTRAL BETA DISTRIBUTION WITH S-SYSTEM.COMPUTATIONAL STATISTICS & DATA ANALYSIS. VOL. 33. ISSUE 4. P. 343-360 9 69% 3
9 GIL, A , SEGURA, J , TEMME, NM , (2014) THE ASYMPTOTIC AND NUMERICAL INVERSION OF THE MARCUM Q-FUNCTION.STUDIES IN APPLIED MATHEMATICS. VOL. 133. ISSUE 2. P. 257 -278 5 83% 1
10 GIL, A , SEGURA, J , TEMME, NM , (2014) ALGORITHM 939: COMPUTATION OF THE MARCUM Q-FUNCTION.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 40. ISSUE 3. P. - 6 67% 1

Classes with closest relation at Level 1


Rank Class id link
1 33065 MICROPOPULATION//MICROPOPULATION MODEL//EXPONENTIAL RISK AVOIDANCE MODELS
2 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
3 34867 INDUCED FORCES//INFINITE INTEGRALS OVER SPHERICAL BESSEL FUNCTIONS//NEUMANN FUNCTIONS
4 29708 INTEGRATED EMPIRICAL PROCESS//ADAPTIVE TEST STATISTICS//MULTIDIMENSIONAL STATIONARY AUTOREGRESSIVE PROCESSES
5 34925 AITKEN NUCLEI COUNTERS//ATMOSPHERIC HEAVY METALS//BOCHNER KHINCHINE THEOREM
6 30291 RELATIVISTIC ROCKET//COHERENT PULSE CW TECHNIQUE//FREQUENCY DISTRIBUTION FUNCTION
7 6170 SADDLEPOINT APPROXIMATION//BARTLETT CORRECTION//NUISANCE PARAMETERS
8 22830 GENERALIZED NEAR INTEGER GAMMA DISTRIBUTION//GENERALIZED INTEGER GAMMA DISTRIBUTION//PRODUCTS OF RANDOM VARIABLES
9 36044 ACID DECAPSULATION//ACOUSTIC BALL BOND INSPECTION//ACOUSTIC GHZ MICROSCOPY
10 9523 STRESS STRENGTH MODEL//GENERALIZED EXPONENTIAL DISTRIBUTION//STRESS STRENGTH RELIABILITY

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