Class information for:
Level 1: ONE PARAMETER FAMILY OF SOLUTIONS//MOMENT INDEX//SUBMULTIPLICATIVE FUNCTION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
35686 93 13.2 17%



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
2533 2             RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION 3782
35686 1                   ONE PARAMETER FAMILY OF SOLUTIONS//MOMENT INDEX//SUBMULTIPLICATIVE FUNCTION 93

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 ONE PARAMETER FAMILY OF SOLUTIONS authKW 985021 3% 100% 3
2 MOMENT INDEX authKW 985015 6% 50% 6
3 SUBMULTIPLICATIVE FUNCTION authKW 820846 5% 50% 5
4 INVERTIBILITY CONDITIONS authKW 656680 2% 100% 2
5 RETARDED TYPE EQUATION authKW 656680 2% 100% 2
6 FIRST POSITIVE SUM authKW 437786 2% 67% 2
7 HURST INDEX authKW 412519 8% 18% 7
8 ABSOLUTELY CONTINUOUS PART authKW 328340 1% 100% 1
9 AMBARTSUMYAN BYURAKAN ASTROPHYS address 328340 1% 100% 1
10 AMBARTSUMYAN EQUATION authKW 328340 1% 100% 1

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 1967 62% 0% 58
2 Statistics & Probability 1513 31% 0% 29
3 Mathematics, Applied 32 9% 0% 8
4 Operations Research & Management Science 5 2% 0% 2
5 Computer Science, Interdisciplinary Applications 3 2% 0% 2
6 Physics, Mathematical 2 2% 0% 2
7 Multidisciplinary Sciences 2 1% 0% 1
8 Physics, Multidisciplinary -0 1% 0% 1

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 AMBARTSUMYAN BYURAKAN ASTROPHYS 328340 1% 100% 1
2 BYUROKAN ASTROPHYS OBSERV 328340 1% 100% 1
3 BYURAKAN ASTROPHYS OBSERV 196999 3% 20% 3
4 SCI ARMENIA 54722 1% 17% 1
5 SOBOLEV MATH 16957 8% 1% 7
6 SIBERIAN BRANCH 3834 18% 0% 17
7 CARDIFF MATH 3067 1% 1% 1
8 IRMAR 2438 3% 0% 3
9 OMSK BRANCH 2103 1% 1% 1
10 MATH 936 38% 0% 35

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 SBORNIK MATHEMATICS 41626 15% 1% 14
2 IZVESTIYA MATHEMATICS 29698 10% 1% 9
3 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 13488 3% 1% 3
4 SIBERIAN MATHEMATICAL JOURNAL 6963 9% 0% 8
5 DIFFERENTIAL EQUATIONS 5628 9% 0% 8
6 JOURNAL OF APPLIED PROBABILITY 4635 8% 0% 7
7 UKRAINIAN MATHEMATICAL JOURNAL 3025 3% 0% 3
8 THEORY OF PROBABILITY AND ITS APPLICATIONS 2682 4% 0% 4
9 MATHEMATICAL NOTES 1642 5% 0% 5
10 STATISTICS & PROBABILITY LETTERS 1620 6% 0% 6

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 ONE PARAMETER FAMILY OF SOLUTIONS 985021 3% 100% 3 Search ONE+PARAMETER+FAMILY+OF+SOLUTIONS Search ONE+PARAMETER+FAMILY+OF+SOLUTIONS
2 MOMENT INDEX 985015 6% 50% 6 Search MOMENT+INDEX Search MOMENT+INDEX
3 SUBMULTIPLICATIVE FUNCTION 820846 5% 50% 5 Search SUBMULTIPLICATIVE+FUNCTION Search SUBMULTIPLICATIVE+FUNCTION
4 INVERTIBILITY CONDITIONS 656680 2% 100% 2 Search INVERTIBILITY+CONDITIONS Search INVERTIBILITY+CONDITIONS
5 RETARDED TYPE EQUATION 656680 2% 100% 2 Search RETARDED+TYPE+EQUATION Search RETARDED+TYPE+EQUATION
6 FIRST POSITIVE SUM 437786 2% 67% 2 Search FIRST+POSITIVE+SUM Search FIRST+POSITIVE+SUM
7 HURST INDEX 412519 8% 18% 7 Search HURST+INDEX Search HURST+INDEX
8 ABSOLUTELY CONTINUOUS PART 328340 1% 100% 1 Search ABSOLUTELY+CONTINUOUS+PART Search ABSOLUTELY+CONTINUOUS+PART
9 AMBARTSUMYAN EQUATION 328340 1% 100% 1 Search AMBARTSUMYAN+EQUATION Search AMBARTSUMYAN+EQUATION
10 ASYMPTOTIC BEHAVIOUR OF A SOLUTION 328340 1% 100% 1 Search ASYMPTOTIC+BEHAVIOUR+OF+A+SOLUTION Search ASYMPTOTIC+BEHAVIOUR+OF+A+SOLUTION

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 SGIBNEV, MS , (2014) AN ASYMPTOTIC EXPANSION OF THE SOLUTION OF A MATRIX DIFFERENCE EQUATION OF GENERAL FORM.SBORNIK MATHEMATICS. VOL. 205. ISSUE 12. P. 1815 -1828 6 100% 0
2 VESILO, RA , (2004) LONG-RANGE DEPENDENCE OF MARKOV RENEWAL PROCESSES.AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. VOL. 46. ISSUE 1. P. 155-171 6 100% 0
3 ENGIBARYAN, NB , (2006) ON THE FIXED POINTS OF MONOTONIC OPERATORS IN THE CRITICAL CASE.IZVESTIYA MATHEMATICS. VOL. 70. ISSUE 5. P. 931-947 6 86% 0
4 GRIGORYAN, GA , (2014) ON A CRITERION FOR THE INVERTIBILITY OF INTEGRAL OPERATORS OF THE SECOND KIND IN THE SPACE OF SUMMABLE FUNCTIONS ON THE SEMIAXIS.MATHEMATICAL NOTES. VOL. 96. ISSUE 5-6. P. 914 -920 4 100% 0
5 KHACHATRYAN, KA , (2012) ON A CLASS OF INTEGRAL EQUATIONS OF URYSOHN TYPE WITH STRONG NON-LINEARITY.IZVESTIYA MATHEMATICS. VOL. 76. ISSUE 1. P. 163 -189 4 80% 1
6 KHACHATRYAN, KA , (2015) POSITIVE SOLUBILITY OF SOME CLASSES OF NON-LINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE ON THE SEMI-AXIS AND ON THE WHOLE LINE.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 2. P. 411 -430 6 50% 0
7 SGIBNEV, MS , (2012) BEHAVIOR AT INFINITY OF A SOLUTION TO A DIFFERENTIAL-DIFFERENCE EQUATION.SIBERIAN MATHEMATICAL JOURNAL. VOL. 53. ISSUE 6. P. 1139-1154 3 100% 0
8 YENGIBARYAN, NB , BARSEGHYAN, AG , (2011) RANDOM WALKS AND MIXTURES OF GAMMA DISTRIBUTIONS.THEORY OF PROBABILITY AND ITS APPLICATIONS. VOL. 55. ISSUE 3. P. 528 -535 3 100% 0
9 SGIBNEV, MS , (2010) THE UNIQUENESS OF A SOLUTION TO THE RENEWAL TYPE SYSTEM OF INTEGRAL EQUATIONS ON THE LINE.SIBERIAN MATHEMATICAL JOURNAL. VOL. 51. ISSUE 1. P. 168-173 3 100% 0
10 SGIBNEV, MS , (2010) ON THE EXISTENCE OF A SOLUTION OF A HOMOGENEOUS SYSTEM OF GENERALIZED WIENER-HOPF EQUATIONS.IZVESTIYA MATHEMATICS. VOL. 74. ISSUE 3. P. 595-606 3 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 36844 DEGENERATE QUANTUM BOSE GAS//MOLNIYA DESIGN//ANALYTICAL METHOD FOR SOLVING THE SKIN EFFECT PROBLEM
2 32553 HAWKES PROCESS//SELF EXCITING PROCESS//DYNAMIC CONTAGION PROCESS
3 2296 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
4 27393 RENEWAL FUNCTION//AUTOPSY MODEL//MOMENTS BASED APPROXIMATION
5 22841 PODOLSKY ELECTRODYNAMICS//NONLOCAL GRAVITY//P ADIC STRING
6 27412 GRANULAR APPLICATION//SPREADER//HAMMOND STN
7 16147 WRIGHT FISHER MODEL//LAMBDA COALESCENT//COALESCENT
8 20543 FORK JOIN QUEUES//GI G 1 TYPE MARKOV CHAIN//SUBEXPONENTIAL ASYMPTOTICS
9 28669 FINITARY ISOMORPHISM//SHIFT COUPLING//PALM MEASURE
10 26839 CESTAC METHOD//EVOLUTIONARY ENTROPY//STOCHASTIC ARITHMETIC

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