Class information for:
Level 1: MATRIX EXPONENTIAL DISTRIBUTION//PHASE TYPE DISTRIBUTION//RATIONAL ARRIVAL PROCESSES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25356 284 21.0 36%


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
313 3       TELECOMMUNICATIONS//QUEUEING SYSTEMS//PERFORMANCE EVALUATION 40047
832 2             QUEUEING SYSTEMS//QUEUEING//PERFORMANCE EVALUATION 11820
25356 1                   MATRIX EXPONENTIAL DISTRIBUTION//PHASE TYPE DISTRIBUTION//RATIONAL ARRIVAL PROCESSES 284

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 MATRIX EXPONENTIAL DISTRIBUTION authKW 1672847 8% 68% 23
2 PHASE TYPE DISTRIBUTION authKW 783851 17% 15% 48
3 RATIONAL ARRIVAL PROCESSES authKW 645111 2% 100% 6
4 RATIONAL LAPLACE STIELTJES TRANSFORM authKW 430070 2% 67% 6
5 LAUES CONSTANT authKW 322556 1% 100% 3
6 STOCHASTIC MODELS journal 262467 12% 7% 33
7 IDENTIFIABILITY PROBLEMS authKW 241915 1% 75% 3
8 COXIAN DISTRIBUTION authKW 239464 2% 32% 7
9 CONTINUOUS AND DISCRETE PHASE TYPE DISTRIBUTIONS authKW 215037 1% 100% 2
10 HYPER ERLANG DISTRIBUTIONS authKW 215037 1% 100% 2

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 8279 42% 0% 118
2 Computer Science, Hardware & Architecture 1319 12% 0% 35
3 Operations Research & Management Science 1219 15% 0% 43
4 Computer Science, Theory & Methods 931 16% 0% 46
5 Social Sciences, Mathematical Methods 890 7% 0% 20
6 Telecommunications 470 11% 0% 32
7 Mathematics, Interdisciplinary Applications 425 9% 0% 26
8 Computer Science, Interdisciplinary Applications 182 7% 0% 21
9 Engineering, Electrical & Electronic 115 14% 0% 40
10 Computer Science, Software Engineering 106 5% 0% 14

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 CEC BELFAST 107519 0% 100% 1
2 ERICSSON HUNGARY 107519 0% 100% 1
3 GREQAM UMR 7316CENT MARSEILLE 107519 0% 100% 1
4 JURUSAN ILMU KOMPUTER DAN ELEKT 107519 0% 100% 1
5 MOBILE NETWORK BUSINESS UNIT 107519 0% 100% 1
6 MOBILE NETWORK DATA 107519 0% 100% 1
7 MUNICH COMP SCI 107519 0% 100% 1
8 OPTIMIZAT PROBABILIDAD LICADA 107519 0% 100% 1
9 PERFORMANCE EVALUAT DISTRIBUTED SYST 107519 0% 100% 1
10 POLE EUROPEAN GEST ECON 107519 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 STOCHASTIC MODELS 262467 12% 7% 33
2 PERFORMANCE EVALUATION 38903 8% 2% 24
3 SCANDINAVIAN ACTUARIAL JOURNAL 17424 2% 3% 6
4 INFORMS JOURNAL ON COMPUTING 5108 2% 1% 6
5 INSURANCE MATHEMATICS & ECONOMICS 5026 4% 0% 10
6 METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY 4756 2% 1% 5
7 JOURNAL OF APPLIED PROBABILITY 4450 4% 0% 12
8 ASTIN BULLETIN 2990 1% 1% 3
9 OPERATIONS RESEARCH 2017 3% 0% 8
10 ADVANCES IN APPLIED PROBABILITY 1993 2% 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 MATRIX EXPONENTIAL DISTRIBUTION 1672847 8% 68% 23 Search MATRIX+EXPONENTIAL+DISTRIBUTION Search MATRIX+EXPONENTIAL+DISTRIBUTION
2 PHASE TYPE DISTRIBUTION 783851 17% 15% 48 Search PHASE+TYPE+DISTRIBUTION Search PHASE+TYPE+DISTRIBUTION
3 RATIONAL ARRIVAL PROCESSES 645111 2% 100% 6 Search RATIONAL+ARRIVAL+PROCESSES Search RATIONAL+ARRIVAL+PROCESSES
4 RATIONAL LAPLACE STIELTJES TRANSFORM 430070 2% 67% 6 Search RATIONAL+LAPLACE+STIELTJES+TRANSFORM Search RATIONAL+LAPLACE+STIELTJES+TRANSFORM
5 LAUES CONSTANT 322556 1% 100% 3 Search LAUES+CONSTANT Search LAUES+CONSTANT
6 IDENTIFIABILITY PROBLEMS 241915 1% 75% 3 Search IDENTIFIABILITY+PROBLEMS Search IDENTIFIABILITY+PROBLEMS
7 COXIAN DISTRIBUTION 239464 2% 32% 7 Search COXIAN+DISTRIBUTION Search COXIAN+DISTRIBUTION
8 CONTINUOUS AND DISCRETE PHASE TYPE DISTRIBUTIONS 215037 1% 100% 2 Search CONTINUOUS+AND+DISCRETE+PHASE+TYPE+DISTRIBUTIONS Search CONTINUOUS+AND+DISCRETE+PHASE+TYPE+DISTRIBUTIONS
9 HYPER ERLANG DISTRIBUTIONS 215037 1% 100% 2 Search HYPER+ERLANG+DISTRIBUTIONS Search HYPER+ERLANG+DISTRIBUTIONS
10 MATRIX EXPONENTIAL PROCESS 215037 1% 100% 2 Search MATRIX+EXPONENTIAL+PROCESS Search MATRIX+EXPONENTIAL+PROCESS

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 HE, QM , ZHANG, HQ , (2006) SPECTRAL POLYNOMIAL ALGORITHMS FOR COMPUTING BI-DIAGONAL REPRESENTATIONS FOR PHASE TYPE DISTRIBUTIONS AND MATRIX-EXPONENTIAL DISTRIBUTIONS.STOCHASTIC MODELS. VOL. 22. ISSUE 2. P. 289-317 13 93% 10
2 OKAMURA, H , KISHIKAWA, H , DOHI, T , (2013) APPLICATION OF DETERMINISTIC ANNEALING EM ALGORITHM TO MAP/PH PARAMETER ESTIMATION.TELECOMMUNICATION SYSTEMS. VOL. 54. ISSUE 1. P. 79-90 15 65% 1
3 RODRIGUEZ, J , LILLO, RE , RAMIREZ-COBO, P , (2016) ANALYTICAL ISSUES REGARDING THE LACK OF IDENTIFIABILITY OF THE NON-STATIONARY MAP(2).PERFORMANCE EVALUATION. VOL. 102. ISSUE . P. 1 -20 15 60% 0
4 KIM, K , THOMAS, N , (2011) A FITTING METHOD WITH GENERALIZED ERLANG DISTRIBUTIONS.SIMULATION MODELLING PRACTICE AND THEORY. VOL. 19. ISSUE 7. P. 1507-1517 10 91% 2
5 HE, QM , ZHANG, HQ , XUE, JG , (2011) ALGORITHMS FOR COXIANIZATION OF PHASE-TYPE GENERATORS.INFORMS JOURNAL ON COMPUTING. VOL. 23. ISSUE 1. P. 153 -164 10 91% 1
6 CASALE, G , ZHANG, EZ , SMIRNI, E , (2010) KPC-TOOLBOX: BEST RECIPES FOR AUTOMATIC TRACE FITTING USING MARKOVIAN ARRIVAL PROCESSES.PERFORMANCE EVALUATION. VOL. 67. ISSUE 9. P. 873 -896 11 73% 6
7 BUCHHOLZ, P , KEMPER, P , KRIEGE, J , (2010) MULTI-CLASS MARKOVIAN ARRIVAL PROCESSES AND THEIR PARAMETER FITTING.PERFORMANCE EVALUATION. VOL. 67. ISSUE 11. P. 1092 -1106 13 59% 15
8 HAUTPHENNE, S , FACKRELL, M , (2014) AN EM ALGORITHM FOR THE MODEL FITTING OF MARKOVIAN BINARY TREES.COMPUTATIONAL STATISTICS & DATA ANALYSIS. VOL. 70. ISSUE . P. 19 -34 10 71% 1
9 FACKRELL, M , (2009) AN ALTERNATIVE CHARACTERIZATION FOR MATRIX EXPONENTIAL DISTRIBUTIONS.ADVANCES IN APPLIED PROBABILITY. VOL. 41. ISSUE 4. P. 1005-1022 9 90% 0
10 BODROG, L , HEINDL, A , HORVATH, G , TELEK, M , (2008) A MARKOVIAN CANONICAL FORM OF SECOND-ORDER MATRIX-EXPONENTIAL PROCESSES.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 190. ISSUE 2. P. 459-477 10 77% 21

Classes with closest relation at Level 1


Rank Class id link
1 2347 RETRIAL QUEUE//DISCRETE TIME QUEUE//STOCHASTIC DECOMPOSITION
2 27009 BATCH ARRIVAL OF CUSTOMERS//SOJOURN TIME ESTIMATION//REMAINING SERVICE TIME
3 10568 STOCHASTIC PETRI NETS//PERFORMABILITY//STOCHASTIC AUTOMATA NETWORKS
4 24657 PROCESSOR SHARING//DISCRIMINATORY PROCESSOR SHARING//PROCESSOR SHARING QUEUE
5 5804 PRODUCTION LINES//BUFFER ALLOCATION//UNRELIABLE MACHINES
6 2296 RUIN PROBABILITY//INSURANCE MATHEMATICS & ECONOMICS//SUBEXPONENTIAL DISTRIBUTION
7 682 FLUID QUEUE//EFFECTIVE BANDWIDTH//ATM NETWORKS
8 20543 FORK JOIN QUEUES//GI G 1 TYPE MARKOV CHAIN//SUBEXPONENTIAL ASYMPTOTICS
9 18324 TIME INTERVAL OMISSION//MARKOV REPAIRABLE SYSTEM//ION CHANNEL MODELING
10 36461 1 F TYPE POWER LAW//ACCURACY AND RELIABILITY OF ESTIMATION//COMMON SEMANTIC MODEL

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