Class information for:
Level 2: LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3975 725 17.0 35%


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
28552 1                   WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION 204

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 LAPLACE TRANSFORM INVERSION authKW 389860 2% 51% 18
2 FRACTIONAL MOMENTS authKW 349871 2% 46% 18
3 MOMENT PROBLEM authKW 345344 6% 18% 46
4 ENTHALPY DISTRIBUTION authKW 336931 1% 100% 8
5 HAUSDORFF MOMENT PROBLEM authKW 288788 2% 57% 12
6 MOMENT RECOVERED APPROXIMATION authKW 210582 1% 100% 5
7 FINANZAS address 197696 2% 36% 13
8 HARDYS CONDITION authKW 168466 1% 100% 4
9 LIN CONDITION authKW 168466 1% 100% 4
10 STIELTJES CLASS OF DISTRIBUTIONS authKW 168466 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 8717 44% 0% 316
2 Statistics & Probability 2064 13% 0% 97
3 Mathematics 1892 23% 0% 167
4 Physics, Mathematical 889 10% 0% 75
5 Computer Science, Software Engineering 183 4% 0% 30
6 Computer Science, Interdisciplinary Applications 113 4% 0% 29
7 Mathematics, Interdisciplinary Applications 103 3% 0% 23
8 Social Sciences, Mathematical Methods 72 1% 0% 10
9 Operations Research & Management Science 49 2% 0% 17
10 Automation & Control Systems 21 2% 0% 11

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 197696 2% 36% 13
2 COMP MANAGEMENT SCI 61870 2% 11% 13
3 CENT FINANZAS 42116 0% 100% 1
4 DIPARTIMENTO PROBABILITA STAT STAT PL 42116 0% 100% 1
5 EICHE LIB 120 42116 0% 100% 1
6 EXPLORAT DEV CHINA 42116 0% 100% 1
7 IGD UFR MATH 42116 0% 100% 1
8 IGD UMR 5028 42116 0% 100% 1
9 INFORM AUTOMAT ROBOT 42116 0% 100% 1
10 KANAYA 42116 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 INVERSE PROBLEMS 11060 4% 1% 30
2 JOURNAL OF OPERATIONAL RISK 6530 1% 3% 5
3 APPLIED MATHEMATICS AND COMPUTATION 5491 7% 0% 48
4 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 3617 1% 1% 10
5 MATHEMATICS OF COMPUTATION 3040 2% 0% 17
6 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2994 4% 0% 27
7 NUMERICAL ALGORITHMS 2838 2% 1% 11
8 AMERICAN STATISTICIAN 2427 1% 1% 10
9 NUMERISCHE MATHEMATIK 1691 2% 0% 11
10 STATISTICS & PROBABILITY LETTERS 1647 2% 0% 17

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 LAPLACE TRANSFORM INVERSION 389860 2% 51% 18 Search LAPLACE+TRANSFORM+INVERSION Search LAPLACE+TRANSFORM+INVERSION
2 FRACTIONAL MOMENTS 349871 2% 46% 18 Search FRACTIONAL+MOMENTS Search FRACTIONAL+MOMENTS
3 MOMENT PROBLEM 345344 6% 18% 46 Search MOMENT+PROBLEM Search MOMENT+PROBLEM
4 ENTHALPY DISTRIBUTION 336931 1% 100% 8 Search ENTHALPY+DISTRIBUTION Search ENTHALPY+DISTRIBUTION
5 HAUSDORFF MOMENT PROBLEM 288788 2% 57% 12 Search HAUSDORFF+MOMENT+PROBLEM Search HAUSDORFF+MOMENT+PROBLEM
6 MOMENT RECOVERED APPROXIMATION 210582 1% 100% 5 Search MOMENT+RECOVERED+APPROXIMATION Search MOMENT+RECOVERED+APPROXIMATION
7 HARDYS CONDITION 168466 1% 100% 4 Search HARDYS+CONDITION Search HARDYS+CONDITION
8 LIN CONDITION 168466 1% 100% 4 Search LIN+CONDITION Search LIN+CONDITION
9 STIELTJES CLASS OF DISTRIBUTIONS 168466 1% 100% 4 Search STIELTJES+CLASS+OF+DISTRIBUTIONS Search STIELTJES+CLASS+OF+DISTRIBUTIONS
10 UNIFORM RATE OF APPROXIMATION 168466 1% 100% 4 Search UNIFORM+RATE+OF+APPROXIMATION Search UNIFORM+RATE+OF+APPROXIMATION

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 2


Rank Class id link
1 3709 BLOCKED IMPURITY BAND BIB//BLOCKED IMPURITY BAND DETECTOR//CRYOGENIC READOUT ELECTRONICS
2 3345 LEVEL CROSSING SAMPLING//SCI TECHNOL TELECOMMUN//CONSERVATIVE FLOW
3 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
4 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
5 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
6 1925 JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER//RADIATIVE HEAT TRANSFER//DISCRETE ORDINATES METHOD
7 1108 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY
8 2533 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
9 832 QUEUEING SYSTEMS//QUEUEING//PERFORMANCE EVALUATION
10 3066 DISCRETE TOMOGRAPHY//DISCRETE COSINE TRANSFORM//FAST FOURIER TRANSFORM FFT

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