Class information for:
Level 1: QUASI STATIONARY DISTRIBUTION//MARKOV BRANCHING PROCESS//DECAY PARAMETER

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
14622 759 18.3 33%



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
14622 1                   QUASI STATIONARY DISTRIBUTION//MARKOV BRANCHING PROCESS//DECAY PARAMETER 759

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 QUASI STATIONARY DISTRIBUTION authKW 1081348 8% 43% 62
2 MARKOV BRANCHING PROCESS authKW 724122 3% 75% 24
3 DECAY PARAMETER authKW 381424 2% 59% 16
4 INVARIANT VECTORS authKW 296233 1% 82% 9
5 YAGLOM LIMIT authKW 268191 1% 67% 10
6 SOCIOECON DEV TERR address 250656 1% 69% 9
7 BIRTH DEATH PROCESS authKW 223466 4% 17% 33
8 ABSORBING BROWNIAN MOTION authKW 160919 1% 100% 4
9 MARKOV POPULATION PROCESSES authKW 160919 1% 100% 4
10 TRANSIENT PROBABILITY FUNCTIONS authKW 160919 1% 100% 4

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 26856 46% 0% 347
2 Mathematics, Applied 1599 19% 0% 145
3 Mathematics 999 17% 0% 128
4 Operations Research & Management Science 988 9% 0% 65
5 Mathematical & Computational Biology 396 4% 0% 34
6 Computer Science, Interdisciplinary Applications 201 5% 0% 38
7 Biology 137 4% 0% 34
8 Physics, Mathematical 80 4% 0% 27
9 Engineering, Industrial 35 1% 0% 11
10 Automation & Control Systems 30 2% 0% 13

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 SOCIOECON DEV TERR 250656 1% 69% 9
2 INFORMAT PROBLEMS RAS 120689 0% 100% 3
3 VOLOGDA SCI COORDINAT 80459 0% 100% 2
4 VOLOGDA SCI COORDINATE 80459 0% 100% 2
5 AN RUZ 40230 0% 100% 1
6 CNET LANN A 40230 0% 100% 1
7 DAC ARP 40230 0% 100% 1
8 DM FCEN 40230 0% 100% 1
9 EPFL STI LPM 40230 0% 100% 1
10 FRC CSC 40230 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 JOURNAL OF APPLIED PROBABILITY 100353 12% 3% 93
2 ADVANCES IN APPLIED PROBABILITY 31612 5% 2% 39
3 QUEUEING SYSTEMS 15757 3% 2% 21
4 STOCHASTIC PROCESSES AND THEIR APPLICATIONS 13680 4% 1% 34
5 THEORY OF PROBABILITY AND ITS APPLICATIONS 9926 3% 1% 22
6 JOURNAL OF MATHEMATICAL BIOLOGY 9143 3% 1% 23
7 STOCHASTIC MODELS 9001 1% 2% 10
8 INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES 5000 1% 2% 6
9 METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY 4549 1% 1% 8
10 ELECTRONIC JOURNAL OF PROBABILITY 3897 1% 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 QUASI STATIONARY DISTRIBUTION 1081348 8% 43% 62 Search QUASI+STATIONARY+DISTRIBUTION Search QUASI+STATIONARY+DISTRIBUTION
2 MARKOV BRANCHING PROCESS 724122 3% 75% 24 Search MARKOV+BRANCHING+PROCESS Search MARKOV+BRANCHING+PROCESS
3 DECAY PARAMETER 381424 2% 59% 16 Search DECAY+PARAMETER Search DECAY+PARAMETER
4 INVARIANT VECTORS 296233 1% 82% 9 Search INVARIANT+VECTORS Search INVARIANT+VECTORS
5 YAGLOM LIMIT 268191 1% 67% 10 Search YAGLOM+LIMIT Search YAGLOM+LIMIT
6 BIRTH DEATH PROCESS 223466 4% 17% 33 Search BIRTH+DEATH+PROCESS Search BIRTH+DEATH+PROCESS
7 ABSORBING BROWNIAN MOTION 160919 1% 100% 4 Search ABSORBING+BROWNIAN+MOTION Search ABSORBING+BROWNIAN+MOTION
8 MARKOV POPULATION PROCESSES 160919 1% 100% 4 Search MARKOV+POPULATION+PROCESSES Search MARKOV+POPULATION+PROCESSES
9 TRANSIENT PROBABILITY FUNCTIONS 160919 1% 100% 4 Search TRANSIENT+PROBABILITY+FUNCTIONS Search TRANSIENT+PROBABILITY+FUNCTIONS
10 ZERO ENTRANCE 160919 1% 100% 4 Search ZERO+ENTRANCE Search ZERO+ENTRANCE

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 VAN DOORN, EA , POLLETT, PK , (2013) QUASI-STATIONARY DISTRIBUTIONS FOR DISCRETE-STATE MODELS.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 230. ISSUE 1. P. 1 -14 36 56% 13
2 KAPODISTRIA, S , TUAN, PD , RESING, J , (2016) LINEAR BIRTH/IMMIGRATION-DEATH PROCESS WITH BINOMIAL CATASTROPHES.PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. VOL. 30. ISSUE 1. P. 79 -111 23 64% 1
3 DI CRESCENZO, A , GIORNO, V , NOBILE, AG , (2016) CONSTRUCTING TRANSIENT BIRTH-DEATH PROCESSES BY MEANS OF SUITABLE TRANSFORMATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 281. ISSUE . P. 152 -171 18 86% 0
4 VILLEMONAIS, D , (2015) MINIMAL QUASI-STATIONARY DISTRIBUTION APPROXIMATION FOR A BIRTH AND DEATH PROCESS.ELECTRONIC JOURNAL OF PROBABILITY. VOL. 20. ISSUE . P. 1 -18 16 94% 1
5 ZEIFMAN, A , SATIN, Y , PANFILOVA, T , (2013) LIMITING CHARACTERISTICS FOR FINITE BIRTH-DEATH-CATASTROPHE PROCESSES.MATHEMATICAL BIOSCIENCES. VOL. 245. ISSUE 1. P. 96-102 17 85% 6
6 DI CRESCENZO, A , GIORNO, V , NOBILE, AG , RICCIARDI, LM , (2008) A NOTE ON BIRTH-DEATH PROCESSES WITH CATASTROPHES.STATISTICS & PROBABILITY LETTERS. VOL. 78. ISSUE 14. P. 2248 -2257 16 100% 11
7 CHEN, AY , NG, KW , ZHANG, HJ , (2014) UNIQUENESS AND DECAY PROPERTIES OF MARKOV BRANCHING PROCESSES WITH DISASTERS.JOURNAL OF APPLIED PROBABILITY. VOL. 51. ISSUE 3. P. 613 -624 14 100% 1
8 CHEN, AY , LU, Y , NG, KW , ZHANG, HJ , (2016) MARKOV BRANCHING PROCESSES WITH KILLING AND RESURRECTION.SCIENCE CHINA-MATHEMATICS. VOL. 59. ISSUE 3. P. 573 -588 13 100% 0
9 ZEIFMAN, AI , SATIN, YA , KOROTYSHEVA, AV , KOROLEV, VY , BENING, VE , (2016) ON A CLASS OF MARKOVIAN QUEUING SYSTEMS DESCRIBED BY INHOMOGENEOUS BIRTH-AND-DEATH PROCESSES WITH ADDITIONAL TRANSITIONS.DOKLADY MATHEMATICS. VOL. 94. ISSUE 2. P. 502 -505 12 100% 0
10 VAN DOORN, EA , ZEIFMAN, AI , (2005) EXTINCTION PROBABILITY IN A BIRTH-DEATH PROCESS WITH KILLING.JOURNAL OF APPLIED PROBABILITY. VOL. 42. ISSUE 1. P. 185-198 15 100% 16

Classes with closest relation at Level 1



Rank Class id link
1 16300 PRODUCT FORM//RANDOM NEURAL NETWORK//G NETWORKS
2 19003 BRANCHING PROCESS//BISEXUAL GALTON WATSON BRANCHING PROCESS//CONTROLLED BRANCHING PROCESSES
3 16849 CUMULANT TRUNCATION//CRITICAL COMMUNITY SIZE//TSIR MODEL
4 12736 LOGARITHMIC SOBOLEV INEQUALITY//SUPER POINCARE INEQUALITY//TRANSPORTATION INEQUALITIES
5 17276 FIRST PASSAGE TIME//BOUNDARY CROSSING PROBABILITY//STOCHASTIC DIFFUSION PROCESS
6 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
7 36312 BERNARDS URN//BETA INTEGRAL TRANSFORMS//REPLENISHMENT DEPLETION URN
8 18298 SINGULARLY PERTURBED MARKOV CHAIN//STOCHASTIC MATRIX//ITERATIVE AGGREGATION DISAGGREGATION METHOD
9 20543 FORK JOIN QUEUES//GI G 1 TYPE MARKOV CHAIN//SUBEXPONENTIAL ASYMPTOTICS
10 33788 CONTINUOUS PHOTODETECTION//EXPONENTIAL PHASE OPERATORS//CODING THE PHASE

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