Question

Finding the Variance of Waiting Time of Pure Birth Process

score 297 · Answer 1 · 2021-05-08 12:31:38

297

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Finding the Variance of Waiting Time of Pure Birth Process

Published on 08 May 2021 - 12:31

score 191 · Answer 2 · 2021-06-02 13:32:50

191

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Simple birth process: prove time to reach state $n+1$ satisfies $ \mathbb P(T_n < t) = (1 - e^{-\lambda t})^n$

Published on 02 Jun 2021 - 13:32

score 66 · Answer 3 · 2021-06-12 17:40:30

66

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For a birth and death process, prove that $\lim_{n\to \infty}P(X_n=0) $ exists.

Published on 12 Jun 2021 - 17:40

score 25 · Answer 4 · 2021-06-16 14:30:50

25

Views

Waiting time between births when multiple individuals present

Published on 16 Jun 2021 - 14:30

score 72 · Answer 5 · 2021-06-17 10:18:31

72

Views

Approximating $\tau(x)$ from $x=|\tau(x)|^{1/\beta-1}(\beta-1)^{1/\beta}\frac{\pi/\beta}{\sin(\pi/\beta)}-|\tau(x)|^{-1}+o(|\tau(x)|^{-1})$

Published on 17 Jun 2021 - 10:18

score 358 · Answer 6 · 2021-09-17 16:47:12

358

Views

How to calculate probability of ultimate extinction of a birth-death process

Published on 17 Sep 2021 - 16:47

score 259 · Answer 7 · 2021-09-25 13:28:08

259

Views

birth and death process with changing probability

Published on 25 Sep 2021 - 13:28

score 89 · Answer 8 · 2021-11-09 10:25:47

89

Views

On inhomogenous and homogenous Poisson processes

Published on 09 Nov 2021 - 10:25

score 106 · Answer 9 · 2022-02-17 18:57:46

106

Views

Birth-death process with a single absorbing state which is not $0$

Published on 17 Feb 2022 - 18:57

score 170 · Answer 10 · 2022-02-17 19:35:27

170

Views

Birth processes, X-Bacterias in a petri dish abide to the following rules...

Published on 17 Feb 2022 - 19:35

score 99 · Answer 11 · 2022-03-04 11:58:56

99

Views

Mean time to absorption in a birth and death process proof by Samuel Karlin

Published on 04 Mar 2022 - 11:58

score 73 · Answer 12 · 2022-04-04 23:16:48

73

Views

Average number of organisms at any point in time given birth and death rates.

Published on 04 Apr 2022 - 23:16

score 95 · Answer 13 · 2022-05-06 02:17:27

95

Views

How to determine $M(t) =E[X(t)]$ in an $M/M/1$ queue system with a differential equation?

Published on 06 May 2022 - 2:17

score 71 · Answer 14 · 2022-05-26 22:24:44

71

Views

Is my infinitesimal generator matrix correct?

Published on 26 May 2022 - 22:24

score 66 · Answer 15 · 2022-06-21 18:06:33

66

Views

mean population growth of a simple birth process

Published on 21 Jun 2022 - 18:06

List Question

Finding the Variance of Waiting Time of Pure Birth Process

Simple birth process: prove time to reach state $n+1$ satisfies $ \mathbb P(T_n < t) = (1 - e^{-\lambda t})^n$

For a birth and death process, prove that $\lim_{n\to \infty}P(X_n=0) $ exists.

Waiting time between births when multiple individuals present

Approximating $\tau(x)$ from $x=|\tau(x)|^{1/\beta-1}(\beta-1)^{1/\beta}\frac{\pi/\beta}{\sin(\pi/\beta)}-|\tau(x)|^{-1}+o(|\tau(x)|^{-1})$

How to calculate probability of ultimate extinction of a birth-death process

birth and death process with changing probability

On inhomogenous and homogenous Poisson processes

Birth-death process with a single absorbing state which is not $0$

Birth processes, X-Bacterias in a petri dish abide to the following rules...

Mean time to absorption in a birth and death process proof by Samuel Karlin

Average number of organisms at any point in time given birth and death rates.

How to determine $M(t) =E[X(t)]$ in an $M/M/1$ queue system with a differential equation?

Is my infinitesimal generator matrix correct?

mean population growth of a simple birth process

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