Class information for:
Level 1: FRACTIONAL MOMENTS//MOMENT PROBLEM//ENTHALPY DISTRIBUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19111 521 17.4 38%


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
3975 2             LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM 725
19111 1                   FRACTIONAL MOMENTS//MOMENT PROBLEM//ENTHALPY DISTRIBUTION 521

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 FRACTIONAL MOMENTS authKW 486878 3% 46% 18
2 MOMENT PROBLEM authKW 480601 9% 18% 46
3 ENTHALPY DISTRIBUTION authKW 468864 2% 100% 8
4 HAUSDORFF MOMENT PROBLEM authKW 401873 2% 57% 12
5 MOMENT RECOVERED APPROXIMATION authKW 293040 1% 100% 5
6 FINANZAS address 275116 2% 36% 13
7 HARDYS CONDITION authKW 234432 1% 100% 4
8 LIN CONDITION authKW 234432 1% 100% 4
9 STIELTJES CLASS OF DISTRIBUTIONS authKW 234432 1% 100% 4
10 UNIFORM RATE OF APPROXIMATION authKW 234432 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 Mathematics, Applied 4045 35% 0% 184
2 Statistics & Probability 2821 18% 0% 95
3 Mathematics 1780 26% 0% 136
4 Physics, Mathematical 520 9% 0% 49
5 Social Sciences, Mathematical Methods 107 2% 0% 10
6 Mathematics, Interdisciplinary Applications 91 3% 0% 18
7 Computer Science, Interdisciplinary Applications 57 3% 0% 18
8 Computer Science, Software Engineering 56 3% 0% 15
9 Operations Research & Management Science 50 3% 0% 14
10 Biophysics 14 3% 0% 16

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 FINANZAS 275116 2% 36% 13
2 COMP MANAGEMENT SCI 86105 2% 11% 13
3 CENT FINANZAS 58608 0% 100% 1
4 DIPARTIMENTO PROBABILITA STAT STAT PL 58608 0% 100% 1
5 EICHE LIB 120 58608 0% 100% 1
6 IGD UFR MATH 58608 0% 100% 1
7 IGD UMR 5028 58608 0% 100% 1
8 INFORM AUTOMAT ROBOT 58608 0% 100% 1
9 KANAYA 58608 0% 100% 1
10 O CCOMPUTO ESTADIST 58608 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 JOURNAL OF OPERATIONAL RISK 9091 1% 3% 5
2 APPLIED MATHEMATICS AND COMPUTATION 5590 8% 0% 41
3 INVERSE PROBLEMS 3838 3% 0% 15
4 AMERICAN STATISTICIAN 3386 2% 1% 10
5 STATISTICS & PROBABILITY LETTERS 2305 3% 0% 17
6 AUSTRALIAN JOURNAL OF STATISTICS 2169 0% 4% 1
7 MATHEMATICA SCANDINAVICA 2066 1% 1% 7
8 SIAM JOURNAL ON OPTIMIZATION 1589 1% 0% 7
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1573 5% 0% 24
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 1335 3% 0% 14

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 FRACTIONAL MOMENTS 486878 3% 46% 18 Search FRACTIONAL+MOMENTS Search FRACTIONAL+MOMENTS
2 MOMENT PROBLEM 480601 9% 18% 46 Search MOMENT+PROBLEM Search MOMENT+PROBLEM
3 ENTHALPY DISTRIBUTION 468864 2% 100% 8 Search ENTHALPY+DISTRIBUTION Search ENTHALPY+DISTRIBUTION
4 HAUSDORFF MOMENT PROBLEM 401873 2% 57% 12 Search HAUSDORFF+MOMENT+PROBLEM Search HAUSDORFF+MOMENT+PROBLEM
5 MOMENT RECOVERED APPROXIMATION 293040 1% 100% 5 Search MOMENT+RECOVERED+APPROXIMATION Search MOMENT+RECOVERED+APPROXIMATION
6 HARDYS CONDITION 234432 1% 100% 4 Search HARDYS+CONDITION Search HARDYS+CONDITION
7 LIN CONDITION 234432 1% 100% 4 Search LIN+CONDITION Search LIN+CONDITION
8 STIELTJES CLASS OF DISTRIBUTIONS 234432 1% 100% 4 Search STIELTJES+CLASS+OF+DISTRIBUTIONS Search STIELTJES+CLASS+OF+DISTRIBUTIONS
9 UNIFORM RATE OF APPROXIMATION 234432 1% 100% 4 Search UNIFORM+RATE+OF+APPROXIMATION Search UNIFORM+RATE+OF+APPROXIMATION
10 STIELTJES MOMENT PROBLEM 197791 2% 38% 9 Search STIELTJES+MOMENT+PROBLEM Search STIELTJES+MOMENT+PROBLEM

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 STOYANOV, J , (2012) INFERENCE PROBLEMS INVOLVING MOMENT DETERMINACY OF DISTRIBUTIONS.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 41. ISSUE 16-17. P. 2864 -2878 21 88% 0
2 MNATSAKANOV, RM , (2017) RECOVERY OF FUNCTIONS FROMTRANSFORMED MOMENTS: A UNIFIED APPROACH.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 46. ISSUE 7. P. 3174 -3185 15 94% 0
3 MILEV, M , INVERARDI, PN , TAGLIANI, A , (2012) MOMENT INFORMATION AND ENTROPY EVALUATION FOR PROBABILITY DENSITIES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 9. P. 5782 -5795 17 89% 7
4 STOYANOV, J , (2004) STIELTJES CLASSES FOR MOMENT-INDETERMINATE PROBABILITY DISTRIBUTIONS.JOURNAL OF APPLIED PROBABILITY. VOL. 41A. ISSUE . P. 281-294 15 94% 21
5 GZYL, H , INVERARDI, PN , TAGLIANI, A , (2015) ENTROPY AND DENSITY APPROXIMATION FROM LAPLACE TRANSFORMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 265. ISSUE . P. 225 -236 12 86% 0
6 OSTROVSKA, S , (2016) ON THE POWERS OF POLYNOMIAL LOGISTIC DISTRIBUTIONS.BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS. VOL. 30. ISSUE 4. P. 676 -690 12 80% 0
7 LIN, GD , STOYANOV, J , (2015) MOMENT DETERMINACY OF POWERS AND PRODUCTS OF NONNEGATIVE RANDOM VARIABLES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 28. ISSUE 4. P. 1337 -1353 11 85% 2
8 LEONARD, C , (2008) MINIMIZATION OF ENTROPY FUNCTIONALS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 346. ISSUE 1. P. 183-204 12 86% 6
9 POLAND, D , (2004) DISTRIBUTION FUNCTIONS FROM MOMENTS AND THE MAXIMUM-ENTROPY METHOD.NUMERICAL COMPUTER METHODS, PT D. VOL. 383. ISSUE . P. 427-465 13 87% 5
10 HAGWOOD, C , (2015) RECONSTRUCTION OF CONDITIONAL EXPECTATIONS FROM PRODUCT MOMENTS WITH APPLICATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 276. ISSUE . P. 129 -142 10 83% 1

Classes with closest relation at Level 1


Rank Class id link
1 28552 WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION
2 26809 SELF SCALING PROPERTY//BURG ENTROPY//ACCIDENTAL OIL SPILLS
3 33108 OPTIMIZAT SYST THEORY//COVARIANCE EXTENSION//RATIONAL COVARIANCE EXTENSION
4 26003 GENERALIZED MAXIMUM ENTROPY//INVERSE MOMENTS//VYSOCHANSKII PETUNIN INEQUALITY
5 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
6 24150 JOURNAL OF OPERATIONAL RISK//OPERATIONAL RISK//LOSS DISTRIBUTION APPROACH
7 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE
8 36769 PT ELECTRODE BZ REACTION SYSTEM//CHEMICAL REACTION DIFFUSION HEAT CONDUCTION COUPLINGS//ENTROPY PRODUCTION OF FLUCTUATIONS
9 16111 HALF FLUXES//MAXIMUM ENTROPY CLOSURE//M 1 MODEL
10 21789 THE OPTIMUM INTERPOLATION//BAND LIMITED EXTRAPOLATION//CSINC INTERPOLATION

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