List questions from poisson-process

Published on 23 Jul 2020 - 21:25

64

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Simplify $\displaystyle\prod_{j=1}^{K}\exp(-2\pi\lambda_j(sp_j)^{2/\alpha}\int_0^{\infty}r\int_0^{\infty}e^{-t(1+r^{\alpha})}dtdr)$.

Published on 28 Jul 2020 - 12:14

187

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The hitting time $T-\tau^{l}$ has the same distribution as $\min\{\tau^{f},T\}$ regarding an Poisson Process.

Published on 08 Jul 2016 - 7:45

211

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birth-death process

Published on 25 Mar 2026 - 11:52

176

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expectation over poisson point process needed

Published on 18 Jul 2016 - 0:45

315

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Probability density function of Poisson Process trajectory

Published on 22 Jul 2016 - 4:09

618

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Scale invariance of uniform distribution over $\mathbb R^2$?

Published on 27 Jul 2016 - 13:45

60

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Is it possible to map 3D Poisson process to 2D poisson process?

Published on 22 Mar 2026 - 14:17

77

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Why $\mathbb P\{N(t+\Delta t)-N(t)=1\}=0+\lambda\Delta t+o(\Delta t)$ if $N$ is a poisson process.

Published on 06 Aug 2016 - 10:16

62

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Queued Poission processes

Published on 07 Aug 2016 - 6:37

190

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Poisson point process - Convergence

Published on 11 Aug 2016 - 17:57

1.4k

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Average Waiting Time in a Single Server Queue

Published on 27 Mar 2026 - 1:13

299

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Poisson process problem (three arrivals, evaluation of probability)

Published on 24 Aug 2016 - 22:55

32

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Number of incidents of a $PP(\lambda),$ between incidents of a $PP(\mu)$

Published on 01 Sep 2016 - 12:19

130

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Probability of duration conditional on Poisson rate

Published on 08 Sep 2016 - 14:34

List Question

stationary independent increments: f(t+s) = f(t) + f(s), therefore f(t)=ct

Simplify $\displaystyle\prod_{j=1}^{K}\exp(-2\pi\lambda_j(sp_j)^{2/\alpha}\int_0^{\infty}r\int_0^{\infty}e^{-t(1+r^{\alpha})}dtdr)$.

The hitting time $T-\tau^{l}$ has the same distribution as $\min\{\tau^{f},T\}$ regarding an Poisson Process.

birth-death process

expectation over poisson point process needed

Probability density function of Poisson Process trajectory

Scale invariance of uniform distribution over $\mathbb R^2$?

Is it possible to map 3D Poisson process to 2D poisson process?

Why $\mathbb P\{N(t+\Delta t)-N(t)=1\}=0+\lambda\Delta t+o(\Delta t)$ if $N$ is a poisson process.

Queued Poission processes

Poisson point process - Convergence

Average Waiting Time in a Single Server Queue

Poisson process problem (three arrivals, evaluation of probability)

Number of incidents of a $PP(\lambda),$ between incidents of a $PP(\mu)$

Probability of duration conditional on Poisson rate

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