Class information for:
Level 1: NATURAL EXPONENTIAL FAMILY//VARIANCE FUNCTION//RIESZ DISTRIBUTION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22234 389 17.3 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
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
22234 1                   NATURAL EXPONENTIAL FAMILY//VARIANCE FUNCTION//RIESZ DISTRIBUTION 389

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 NATURAL EXPONENTIAL FAMILY authKW 1962367 12% 56% 45
2 VARIANCE FUNCTION authKW 1170424 11% 35% 43
3 RIESZ DISTRIBUTION authKW 664903 3% 71% 12
4 UNIT VARIANCE FUNCTION authKW 403693 2% 86% 6
5 EXPONENTIAL DISPERSION MODEL authKW 401382 4% 34% 15
6 MEANS DOMAIN authKW 313985 1% 100% 4
7 WISHART DISTRIBUTION authKW 256300 7% 13% 26
8 CONDITIONAL REDUCIBILITY authKW 235489 1% 100% 3
9 CRAIG SAKAMOTO THEOREM authKW 235489 1% 100% 3
10 CRAIG SAKAMOTOS THEOREM authKW 235489 1% 100% 3

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 28068 65% 0% 253
2 Mathematics 1050 23% 0% 91
3 Mathematics, Applied 373 13% 0% 52
4 Mathematics, Interdisciplinary Applications 63 3% 0% 13
5 Social Sciences, Mathematical Methods 50 2% 0% 6
6 Physics, Mathematical 13 2% 0% 9
7 Mathematical & Computational Biology 6 1% 0% 4
8 Computer Science, Cybernetics 1 0% 0% 1
9 Economics 1 2% 0% 6
10 Biology 0 1% 0% 4

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 MATH PL STID 156993 1% 100% 2
2 ADV RADAR CONCEPTS BUSINESS UNIT 104660 1% 67% 2
3 LSM 83715 2% 13% 8
4 C T RENNES 78496 0% 100% 1
5 CENT AFRICAN REPUBL 78496 0% 100% 1
6 CNRS ERS 2055 78496 0% 100% 1
7 CNRSIUTSTID 78496 0% 100% 1
8 COOPERAT SYST E1 03 06 78496 0% 100% 1
9 DIPARTIMENTO ECON POLIT METOD QUANTITAT 78496 0% 100% 1
10 ERS 2055IUT STID 78496 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 STATISTICS & PROBABILITY LETTERS 22841 12% 1% 46
2 JOURNAL OF MULTIVARIATE ANALYSIS 14858 7% 1% 26
3 LITHUANIAN MATHEMATICAL JOURNAL 10791 2% 2% 7
4 AEQUATIONES MATHEMATICAE 10450 2% 2% 8
5 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 6734 7% 0% 27
6 ANNALS OF STATISTICS 6455 5% 0% 18
7 JOURNAL OF THEORETICAL PROBABILITY 5530 2% 1% 9
8 COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 5147 6% 0% 23
9 JOURNAL OF STATISTICAL PLANNING AND INFERENCE 4623 5% 0% 19
10 BERNOULLI 3265 2% 1% 7

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 NATURAL EXPONENTIAL FAMILY 1962367 12% 56% 45 Search NATURAL+EXPONENTIAL+FAMILY Search NATURAL+EXPONENTIAL+FAMILY
2 VARIANCE FUNCTION 1170424 11% 35% 43 Search VARIANCE+FUNCTION Search VARIANCE+FUNCTION
3 RIESZ DISTRIBUTION 664903 3% 71% 12 Search RIESZ+DISTRIBUTION Search RIESZ+DISTRIBUTION
4 UNIT VARIANCE FUNCTION 403693 2% 86% 6 Search UNIT+VARIANCE+FUNCTION Search UNIT+VARIANCE+FUNCTION
5 EXPONENTIAL DISPERSION MODEL 401382 4% 34% 15 Search EXPONENTIAL+DISPERSION+MODEL Search EXPONENTIAL+DISPERSION+MODEL
6 MEANS DOMAIN 313985 1% 100% 4 Search MEANS+DOMAIN Search MEANS+DOMAIN
7 WISHART DISTRIBUTION 256300 7% 13% 26 Search WISHART+DISTRIBUTION Search WISHART+DISTRIBUTION
8 CONDITIONAL REDUCIBILITY 235489 1% 100% 3 Search CONDITIONAL+REDUCIBILITY Search CONDITIONAL+REDUCIBILITY
9 CRAIG SAKAMOTO THEOREM 235489 1% 100% 3 Search CRAIG+SAKAMOTO+THEOREM Search CRAIG+SAKAMOTO+THEOREM
10 CRAIG SAKAMOTOS THEOREM 235489 1% 100% 3 Search CRAIG+SAKAMOTOS+THEOREM Search CRAIG+SAKAMOTOS+THEOREM

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 KOLODZIEJEK, B , (2016) THE LUKACS-OLKIN-RUBIN THEOREM ON SYMMETRIC CONES WITHOUT INVARIANCE OF THE "QUOTIENT".JOURNAL OF THEORETICAL PROBABILITY. VOL. 29. ISSUE 2. P. 550 -568 13 100% 0
2 KOKONENDJI, CC , SEMBONA, CCM , RAINALDY, JS , (2015) A CHARACTERIZATION OF MULTIVARIATE NORMAL STABLE TWEEDIE MODELS AND THEIR ASSOCIATED POLYNOMIALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 288. ISSUE . P. 159 -168 12 100% 0
3 GER, R , MISIEWICZ, J , WESOLOWSKI, J , (2013) THE LUKACS THEOREM AND THE OLKIN-BAKER EQUATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 399. ISSUE 2. P. 599-607 10 100% 4
4 BAR-LEV, SK , BSHOUTY, D , LANDSMAN, Z , (2010) SECOND ORDER MINIMAX ESTIMATION OF THE MEAN.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 140. ISSUE 11. P. 3282-3294 11 92% 0
5 KOLODZIEJEK, B , (2013) THE LUKACS-OLKIN-RUBIN THEOREM ON SYMMETRIC CONES THROUGH GLEASON'S THEOREM.STUDIA MATHEMATICA. VOL. 217. ISSUE 1. P. 1-17 9 100% 0
6 GHRIBI, A , KOKONENDJI, CC , MASMOUDI, A , (2015) CHARACTERISTIC PROPERTY OF A CLASS OF MULTIVARIATE VARIANCE FUNCTIONS.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 55. ISSUE 4. P. 506 -517 8 100% 0
7 NAHLA, B , AFIF, M , (2012) POISSON LIMIT LAWS FOR EXPONENTIAL DISPERSION MODELS.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 41. ISSUE 3. P. 393 -402 8 100% 0
8 LOUATI, M , MASMOUDI, A , (2015) MOMENT FOR THE INVERSE RIESZ DISTRIBUTIONS.STATISTICS & PROBABILITY LETTERS. VOL. 102. ISSUE . P. 30 -37 9 82% 0
9 LANDSMAN, Z , MAKOV, UE , (1999) CREDIBILITY EVALUATION FOR THE EXPONENTIAL DISPERSION FAMILY.INSURANCE MATHEMATICS & ECONOMICS. VOL. 24. ISSUE 1-2. P. 23 -29 12 92% 4
10 GHRIBI, A , MASMOUDI, A , (2010) CHARACTERIZATION OF MULTINOMIAL EXPONENTIAL FAMILIES BY GENERALIZED VARIANCE.STATISTICS & PROBABILITY LETTERS. VOL. 80. ISSUE 11-12. P. 939-944 8 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 35986 NONREGULAR DISTRIBUTIONS//NON REGULAR CASE//RELATIVE RENYI ENTROPY
2 22830 GENERALIZED NEAR INTEGER GAMMA DISTRIBUTION//GENERALIZED INTEGER GAMMA DISTRIBUTION//PRODUCTS OF RANDOM VARIABLES
3 19884 MATSUMOTO YOR PROPERTY//BOUGEROLS IDENTITY//EXPONENTIAL BROWNIAN FUNCTIONALS
4 25624 BAYESIAN ROBUSTNESS//CLASS OF PRIORS//CLASSES OF PRIORS
5 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
6 6170 SADDLEPOINT APPROXIMATION//BARTLETT CORRECTION//NUISANCE PARAMETERS
7 10005 ZERO INFLATION//OVERDISPERSION//ZERO INFLATED MODELS
8 36809 INDEPENDENT LINEAR STATISTICS//IDEMPOTENT DISTRIBUTION//SKITOVICH DARMOIS THEOREM
9 37535 EGGENBERGER POLYA//METEOR PROCESS//MIXED RENEWAL PROCESS
10 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY

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