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Birth-death process
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Mathematics
Area of mathematics
Probability and statistics
Probability theory
Markov chain
Continuous-time Markov chain
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Words: 719
Articles: 27
A birth-death process moves only between neighbouring nonnegative integer states, with state-dependent birth and death rates.
Table of contents
719
27
Yule process
Birth-death process
108
2
Mean population of a Yule process
Yule process
31
Conditional Yule birth times
Yule process
44
Extinction probability of a linear birth-death process
Birth-death process
25
Detailed balance for a birth-death process
Birth-death process
35
Birth-death master equation
Birth-death process
60
3
First-moment equation of a birth-death process
Birth-death master equation
15
Factorial moment
Birth-death master equation
29
1
Poisson factorial moments
Factorial moment
17
Poisson moment closure for a birth-death process
Birth-death process
31
Diffusion approximation of a birth-death process
Birth-death process
75
2
Linear noise approximation
Diffusion approximation of a birth-death process
27
Mean drift from a Fokker--Planck equation
Diffusion approximation of a birth-death process
24
Birth-death recurrence classification
Birth-death process
30
M-M-1 queue
Birth-death process
195
7
M-M-1 queue with state-dependent admission
M-M-1 queue
46
Positive recurrence of an M-M-1 queue
M-M-1 queue
15
Stationary distribution of an M-M-1 queue
M-M-1 queue
14
Burke theorem
M-M-1 queue
20
M-M-1 queue with Bernoulli feedback
M-M-1 queue
54
1
Poisson output theorem for a feedback queue
M-M-1 queue with Bernoulli feedback
32
Mean busy period of an M-M-1 queue
M-M-1 queue
24
M-M-infinity queue
Birth-death process
144
4
Stationary distribution of an M-M-infinity queue
M-M-infinity queue
22
Burke theorem for an M-M-infinity queue
M-M-infinity queue
32
Transient distribution of an M-M-infinity queue
M-M-infinity queue
25
Mean busy period of an M-M-infinity queue
M-M-infinity queue
27
Ancestors
(7)
Continuous-time Markov chain
Markov chain
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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M-M-1 queue with state-dependent admission
M-M-infinity queue
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