Class information for:
Level 1: EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
18422 552 18.9 37%



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
1414 2             COMPLETE CONVERGENCE//STATISTICS & PROBABILITY//EXTREMES 8000
18422 1                   EXCURSION SET//PICKANDS CONSTANT//RICE FORMULA 552

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 EXCURSION SET authKW 688582 3% 66% 19
2 PICKANDS CONSTANT authKW 623229 2% 87% 13
3 RICE FORMULA authKW 460958 3% 56% 15
4 EXCURSION SETS authKW 425507 2% 77% 10
5 UNIL DORIGNY address 326470 4% 27% 22
6 RICES FORMULA authKW 307305 2% 56% 10
7 DISTRIBUTION OF THE MAXIMUM authKW 280032 2% 56% 9
8 GENERALIZED PICKANDS CONSTANT authKW 276583 1% 100% 5
9 S3RI address 267083 2% 37% 13
10 GAUSSIAN FIELDS authKW 253729 3% 27% 17

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 53868 76% 0% 417
2 Engineering, Ocean 642 3% 0% 16
3 Mathematics, Interdisciplinary Applications 249 5% 0% 29
4 Mathematics 188 9% 0% 52
5 Mathematical & Computational Biology 181 4% 0% 20
6 Engineering, Marine 134 1% 0% 5
7 Computer Science, Interdisciplinary Applications 67 4% 0% 20
8 Engineering, Mechanical 24 3% 0% 17
9 Medical Informatics 21 1% 0% 5
10 COMPUTER APPLICATIONS & CYBERNETICS 19 0% 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 UNIL DORIGNY 326470 4% 27% 22
2 S3RI 267083 2% 37% 13
3 ACTUARIAL SCI 167174 4% 13% 23
4 STAT OPERAT TECHNOL 124455 1% 38% 6
5 S3 RI 110633 0% 100% 2
6 THEORY PROBABIL MATH STAT 110633 0% 100% 2
7 CELLULE OCEANO METEO 55317 0% 100% 1
8 CHAIR THEORY PROBABIL 55317 0% 100% 1
9 CLIN SCI K6428 55317 0% 100% 1
10 CNRS MECAN LILLECITE SCI 55317 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 EXTREMES 77952 3% 8% 17
2 THEORY OF PROBABILITY AND ITS APPLICATIONS 22151 5% 1% 28
3 ADVANCES IN APPLIED PROBABILITY 20830 5% 1% 27
4 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 19961 6% 1% 35
5 ANNALS OF PROBABILITY 10748 5% 1% 25
6 STATISTICS & PROBABILITY LETTERS 6814 5% 0% 30
7 ANNALS OF STATISTICS 6790 4% 1% 22
8 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 5954 1% 1% 8
9 ANNALS OF APPLIED PROBABILITY 5347 2% 1% 12
10 BERNOULLI 3802 2% 1% 9

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 EXCURSION SET 688582 3% 66% 19 Search EXCURSION+SET Search EXCURSION+SET
2 PICKANDS CONSTANT 623229 2% 87% 13 Search PICKANDS+CONSTANT Search PICKANDS+CONSTANT
3 RICE FORMULA 460958 3% 56% 15 Search RICE+FORMULA Search RICE+FORMULA
4 EXCURSION SETS 425507 2% 77% 10 Search EXCURSION+SETS Search EXCURSION+SETS
5 RICES FORMULA 307305 2% 56% 10 Search RICES+FORMULA Search RICES+FORMULA
6 DISTRIBUTION OF THE MAXIMUM 280032 2% 56% 9 Search DISTRIBUTION+OF+THE+MAXIMUM Search DISTRIBUTION+OF+THE+MAXIMUM
7 GENERALIZED PICKANDS CONSTANT 276583 1% 100% 5 Search GENERALIZED+PICKANDS+CONSTANT Search GENERALIZED+PICKANDS+CONSTANT
8 GAUSSIAN FIELDS 253729 3% 27% 17 Search GAUSSIAN+FIELDS Search GAUSSIAN+FIELDS
9 PITERBARG INEQUALITY 230484 1% 83% 5 Search PITERBARG+INEQUALITY Search PITERBARG+INEQUALITY
10 PITERBARG CONSTANT 221266 1% 100% 4 Search PITERBARG+CONSTANT Search PITERBARG+CONSTANT

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 LIU, W , LIN, S , (2009) CONSTRUCTION OF EXACT SIMULTANEOUS CONFIDENCE BANDS IN MULTIPLE LINEAR REGRESSION WITH PREDICTOR VARIABLES CONSTRAINED IN AN ELLIPSOIDAL REGION.STATISTICA SINICA. VOL. 19. ISSUE 1. P. 213-232 22 92% 6
2 LIU, W , LIN, S , PIEGORSCH, WW , (2008) CONSTRUCTION OF EXACT SIMULTANEOUS CONFIDENCE BANDS FOR A SIMPLE LINEAR REGRESSION MODEL.INTERNATIONAL STATISTICAL REVIEW. VOL. 76. ISSUE 1. P. 39-57 22 92% 14
3 TAYLOR, JE , WORSLEY, KJ , (2008) RANDOM FIELDS OF MULTIVARIATE TEST STATISTICS, WITH APPLICATIONS TO SHAPE ANALYSIS.ANNALS OF STATISTICS. VOL. 36. ISSUE 1. P. 1-27 22 88% 24
4 LIU, W , AH-KINE, P , ZHOU, SY , (2012) SIMULTANEOUS CONFIDENCE BANDS FOR LINEAR REGRESSION WITH COVARIATES CONSTRAINED IN INTERVALS.SCANDINAVIAN JOURNAL OF STATISTICS. VOL. 39. ISSUE 3. P. 543-553 20 91% 0
5 AH-KINE, P , LIU, W , (2015) OPTIMAL SIMULTANEOUS CONFIDENCE BANDS IN MULTIPLE LINEAR REGRESSION WITH PREDICTOR VARIABLES CONSTRAINED IN AN ELLIPSOIDAL REGION.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 44. ISSUE 3. P. 441 -452 18 90% 0
6 TAYLOR, JE , WORSLEY, KJ , (2013) DETECTING SPARSE CONE ALTERNATIVES FOR GAUSSIAN RANDOM FIELDS, WITH AN APPLICATION TO FMRI.STATISTICA SINICA. VOL. 23. ISSUE 4. P. 1629 -1656 24 71% 0
7 DEBICKI, K , HASHORVA, E , JI, LP , TABIS, K , (2015) EXTREMES OF VECTOR-VALUED GAUSSIAN PROCESSES: EXACT ASYMPTOTICS.STOCHASTIC PROCESSES AND THEIR APPLICATIONS. VOL. 125. ISSUE 11. P. 4039 -4065 16 89% 0
8 LIU, W , HAYTER, AJ , PIEGORSCH, WW , AH-KINE, P , (2009) COMPARISON OF HYPERBOLIC AND CONSTANT WIDTH SIMULTANEOUS CONFIDENCE BANDS IN MULTIPLE LINEAR REGRESSION UNDER MVCS CRITERION.JOURNAL OF MULTIVARIATE ANALYSIS. VOL. 100. ISSUE 7. P. 1432-1439 18 90% 2
9 HAYTER, AJ , KIATSUPAIBUL, S , LIU, W , WYNN, HP , (2012) AN INDEPENDENCE POINT METHOD OF CONFIDENCE BAND CONSTRUCTION FOR MULTIPLE LINEAR REGRESSION MODELS.COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. VOL. 41. ISSUE 22. P. 4132-4141 16 94% 0
10 LIU, P , JI, LP , (2016) EXTREMES OF CHI-SQUARE PROCESSES WITH TREND.PROBABILITY AND MATHEMATICAL STATISTICS-POLAND. VOL. 36. ISSUE 1. P. 1 -20 16 70% 0

Classes with closest relation at Level 1



Rank Class id link
1 23504 ALMOST SURE CENTRAL LIMIT THEOREM//ALMOST SURE LIMIT THEOREM//LOGARITHMIC AVERAGES
2 28049 PROBABILITY BOUNDS//BIVARIATE BINOMIAL MOMENTS//DISCRETE MOMENT PROBLEM
3 24654 KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS//RANDOM POLYNOMIALS
4 31049 COUNTER INTUITIVE RESPONSE//ELASTIC PLASTIC BEAM DYNAMICS//ELASTO PLASTIC OSCILLATORS
5 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
6 15563 RAINFLOW COUNTING//RAINFLOW CYCLES//WOHLER FIELD
7 26218 ANALYSIS OF MEANS//ANOM//NEGATIVE PRODUCT CORRELATION
8 3615 EXTREME VALUE INDEX//EXTREMES//EXTREME VALUE THEORY
9 34058 P INTEGRAL//ABSOLUTE CONTINUITY OF INFINITE PRODUCT MEASURES//AVERAGE MARTINGALE
10 26534 PROJECTION PURSUIT//SPHERING//POSTERIOR CLASS PROBABILITIES

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