Class information for:
Level 1: ISOTONIC REGRESSION//MONOTONE REGRESSION//SHAPE CONSTRAINTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19651 496 24.3 44%


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
189 2             STATISTICS & PROBABILITY//NONPARAMETRIC REGRESSION//ANNALS OF STATISTICS 21720
19651 1                   ISOTONIC REGRESSION//MONOTONE REGRESSION//SHAPE CONSTRAINTS 496

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 ISOTONIC REGRESSION authKW 940793 13% 24% 64
2 MONOTONE REGRESSION authKW 684006 4% 56% 20
3 SHAPE CONSTRAINTS authKW 640215 5% 40% 26
4 MONOTONE DENSITY authKW 630385 3% 64% 16
5 LEAST CONCAVE MAJORANT authKW 562840 3% 57% 16
6 SHAPE RESTRICTIONS authKW 461701 3% 50% 15
7 CONE PROJECTION authKW 430935 1% 100% 7
8 CONVEX REGRESSION authKW 410408 2% 67% 10
9 GREATEST CONVEX MINORANT authKW 323859 2% 48% 11
10 PARABOLIC DRIFT authKW 316604 1% 86% 6

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 47446 75% 0% 371
2 Mathematical & Computational Biology 527 6% 0% 31
3 Computer Science, Interdisciplinary Applications 521 9% 0% 46
4 Mathematics, Applied 238 10% 0% 49
5 Social Sciences, Mathematical Methods 234 3% 0% 14
6 Operations Research & Management Science 154 4% 0% 22
7 COMPUTER APPLICATIONS & CYBERNETICS 90 0% 0% 2
8 Mathematics, Interdisciplinary Applications 53 3% 0% 14
9 Medical Informatics 52 1% 0% 7
10 Biology 46 3% 0% 17

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 UNIT MATH INFORMAT 256507 1% 83% 5
2 ABT ARBEITSMEDKLIN ABT ARBEITSMED 61562 0% 100% 1
3 CIPMA CHAIRE UNESCO 61562 0% 100% 1
4 DPTO ESTADIST LO DM 61562 0% 100% 1
5 EMBASSY PRIME 61562 0% 100% 1
6 JIANN HSU PUBL HLTH 61562 0% 100% 1
7 JOINT U823 61562 0% 100% 1
8 PROBABILITES STAT MODELISAT 61562 0% 100% 1
9 WERPUNKT STOCHAST 61562 0% 100% 1
10 PL STAT M019 61560 0% 50% 2

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 ANNALS OF STATISTICS 58347 12% 2% 61
2 JOURNAL OF NONPARAMETRIC STATISTICS 16133 3% 2% 15
3 SCANDINAVIAN JOURNAL OF STATISTICS 11282 3% 1% 16
4 STATISTICA SINICA 9917 3% 1% 17
5 JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS 6288 2% 1% 10
6 STATISTICS & PROBABILITY LETTERS 6142 5% 0% 27
7 ELECTRONIC JOURNAL OF STATISTICS 6108 2% 1% 9
8 COMPUTATIONAL STATISTICS & DATA ANALYSIS 6001 4% 0% 22
9 JOURNAL OF STATISTICAL PLANNING AND INFERENCE 5784 5% 0% 24
10 CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE 4965 2% 1% 10

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 ISOTONIC REGRESSION 940793 13% 24% 64 Search ISOTONIC+REGRESSION Search ISOTONIC+REGRESSION
2 MONOTONE REGRESSION 684006 4% 56% 20 Search MONOTONE+REGRESSION Search MONOTONE+REGRESSION
3 SHAPE CONSTRAINTS 640215 5% 40% 26 Search SHAPE+CONSTRAINTS Search SHAPE+CONSTRAINTS
4 MONOTONE DENSITY 630385 3% 64% 16 Search MONOTONE+DENSITY Search MONOTONE+DENSITY
5 LEAST CONCAVE MAJORANT 562840 3% 57% 16 Search LEAST+CONCAVE+MAJORANT Search LEAST+CONCAVE+MAJORANT
6 SHAPE RESTRICTIONS 461701 3% 50% 15 Search SHAPE+RESTRICTIONS Search SHAPE+RESTRICTIONS
7 CONE PROJECTION 430935 1% 100% 7 Search CONE+PROJECTION Search CONE+PROJECTION
8 CONVEX REGRESSION 410408 2% 67% 10 Search CONVEX+REGRESSION Search CONVEX+REGRESSION
9 GREATEST CONVEX MINORANT 323859 2% 48% 11 Search GREATEST+CONVEX+MINORANT Search GREATEST+CONVEX+MINORANT
10 PARABOLIC DRIFT 316604 1% 86% 6 Search PARABOLIC+DRIFT Search PARABOLIC+DRIFT

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 CHEN, YN , WELLNER, JA , (2016) ON CONVEX LEAST SQUARES ESTIMATION WHEN THE TRUTH IS LINEAR.ELECTRONIC JOURNAL OF STATISTICS. VOL. 10. ISSUE 1. P. 171 -209 21 88% 0
2 DOSS, CR , WELLNER, JA , (2016) GLOBAL RATES OF CONVERGENCE OF THE MLES OF LOG-CONCAVE AND S-CONCAVE DENSITIES.ANNALS OF STATISTICS. VOL. 44. ISSUE 3. P. 954 -981 16 94% 2
3 JANKOWSKI, H , (2014) CONVERGENCE OF LINEAR FUNCTIONALS OF THE GRENANDER ESTIMATOR UNDER MISSPECIFICATION.ANNALS OF STATISTICS. VOL. 42. ISSUE 2. P. 625 -653 18 90% 4
4 DUROT, C , KULIKOV, VN , LOPUHAA, HP , (2012) THE LIMIT DISTRIBUTION OF THE L-INFINITY-ERROR OF GRENANDER-TYPE ESTIMATORS.ANNALS OF STATISTICS. VOL. 40. ISSUE 3. P. 1578-1608 18 95% 3
5 ROYSET, JO , WETS, RJB , (2015) FUSION OF HARD AND SOFT INFORMATION IN NONPARAMETRIC DENSITY ESTIMATION.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 247. ISSUE 2. P. 532 -547 23 70% 0
6 CHEN, YN , SAMWORTH, RJ , (2016) GENERALIZED ADDITIVE AND INDEX MODELS WITH SHAPE CONSTRAINTS.JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY. VOL. 78. ISSUE 4. P. 729 -754 26 55% 1
7 GUNTUBOYINA, A , SEN, B , (2015) GLOBAL RISK BOUNDS AND ADAPTATION IN UNIVARIATE CONVEX REGRESSION.PROBABILITY THEORY AND RELATED FIELDS. VOL. 163. ISSUE 1-2. P. 379 -411 16 84% 5
8 HAN, QY , WELLNER, JA , (2016) APPROXIMATION AND ESTIMATION OF S-CONCAVE DENSITIES VIA RENYI DIVERGENCES.ANNALS OF STATISTICS. VOL. 44. ISSUE 3. P. 1332 -1359 15 83% 0
9 BALABDAOUI, F , JANKOWSKI, H , RUFIBACH, K , PAVLIDES, M , (2013) ASYMPTOTICS OF THE DISCRETE LOG-CONCAVE MAXIMUM LIKELIHOOD ESTIMATOR AND RELATED APPLICATIONS.JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY. VOL. 75. ISSUE 4. P. 769-790 18 72% 3
10 MEYER, MC , (2012) NONPARAMETRIC ESTIMATION OF A SMOOTH DENSITY WITH SHAPE RESTRICTIONS.STATISTICA SINICA. VOL. 22. ISSUE 2. P. 681-701 15 88% 2

Classes with closest relation at Level 1


Rank Class id link
1 23167 EXCESS MASS//SIZER//LEVEL SET ESTIMATION
2 11168 ORDER RESTRICTED INFERENCE//ORDERED ALTERNATIVES//ORDER RESTRICTION
3 17094 INTERVAL CENSORING//CURRENT STATUS DATA//INTERVAL CENSORED DATA
4 11163 WHITE NOISE MODEL//ADAPTIVE ESTIMATION//MINIMAX RISK
5 36011 ISOTONE PROJECTION CONES//ISOTONE PROJECTIONS//PROJECTION ONTO CONES
6 21213 SMOOTHING SPLINES//GENERALIZED CROSS VALIDATION//SMOOTHING PARAMETER
7 5228 BANDWIDTH SELECTION//NONPARAMETRIC REGRESSION//DENSITY ESTIMATION
8 19365 BURGERS TURBULENCE//STICKY PARTICLES//RANDOM INITIAL VELOCITY
9 15815 JOURNAL OF APPROXIMATION THEORY//POLYA ALGORITHM//CHEBYSHEV SUBSPACE
10 30480 LOGICAL ANALYSIS OF DATA//LOGICAL ANALYSIS OF DATA LAD//MONOTONE CLASSIFICATION

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