Question

Is any independent counting process Poisson?

score 44 · Answer 1 · 2024-01-24 09:21:19

44

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Is any independent counting process Poisson?

Published on 24 Jan 2024 - 9:21

score 26 · Answer 2 · 2024-01-25 22:11:35

26

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Suposse that $\{N_t\}$ is a Poisson process with rate $\lambda>0$, and the arrival times are $S_1,S_2,\dots$.

Published on 25 Jan 2024 - 22:11

score 33 · Answer 3 · 2024-01-26 06:04:22

33

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Probability Density Function of Compound Poisson Process

Published on 26 Jan 2024 - 6:04

score 124 · Answer 4 · 2024-01-26 14:12:11

124

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A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

Published on 26 Jan 2024 - 14:12

score 14 · Answer 5 · 2026-03-02 12:05:52

14

Views

What is the steady state distribution of this Poisson process with non-constant rate?

Published on 02 Mar 2026 - 12:05

score 19 · Answer 6 · 2026-03-27 23:29:12

19

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Superposition of Poisson Processes with a weighted sum

Published on 27 Mar 2026 - 23:29

score 46 · Answer 7 · 2024-02-02 13:43:18

46

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Higher conditional intensity implies higher variance of the resulting counting process

Published on 02 Feb 2024 - 13:43

score 269 · Answer 8 · 2024-02-05 07:19:06

269

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A walk on a $2D$ Poisson process in which every step goes to the nearest unvisited point: expected distance from origin after $365$ steps?

Published on 05 Feb 2024 - 7:19

score 36 · Answer 9 · 2026-03-27 23:14:26

36

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True or false: In a 2D Poisson process, for every point $P$, there exists a convex $1000$-gon with Poisson points as vertices, that contains only $P$.

Published on 27 Mar 2026 - 23:14

score 27 · Answer 10 · 2024-02-07 17:04:46

27

Views

Inductive proof Poisson process counts follow Poisson distribution

Published on 07 Feb 2024 - 17:04

score 54 · Answer 11 · 2024-02-07 21:24:38

54

Views

Poisson Process Probabilities with given parameter

Published on 07 Feb 2024 - 21:24

score 42 · Answer 12 · 2024-02-08 16:20:28

42

Views

Poisson process for expected customer arrival

Published on 08 Feb 2024 - 16:20

score 26 · Answer 13 · 2024-02-20 02:56:55

26

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Regarding Construction of a Poisson Process

Published on 20 Feb 2024 - 2:56

score 75 · Answer 14 · 2024-02-20 21:44:43

75

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What rule is used in this derivation of the interarrival time for the Poisson process?

Published on 20 Feb 2024 - 21:44

score 70 · Answer 15 · 2024-02-22 09:40:01

70

Views

How to calculate the expectation of this Poisson-like process?

Published on 22 Feb 2024 - 9:40

List Question

Is any independent counting process Poisson?

Suposse that $\{N_t\}$ is a Poisson process with rate $\lambda>0$, and the arrival times are $S_1,S_2,\dots$.

Probability Density Function of Compound Poisson Process

A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

What is the steady state distribution of this Poisson process with non-constant rate?

Superposition of Poisson Processes with a weighted sum

Higher conditional intensity implies higher variance of the resulting counting process

A walk on a $2D$ Poisson process in which every step goes to the nearest unvisited point: expected distance from origin after $365$ steps?

True or false: In a 2D Poisson process, for every point $P$, there exists a convex $1000$-gon with Poisson points as vertices, that contains only $P$.

Inductive proof Poisson process counts follow Poisson distribution

Poisson Process Probabilities with given parameter

Poisson process for expected customer arrival

Regarding Construction of a Poisson Process

What rule is used in this derivation of the interarrival time for the Poisson process?

How to calculate the expectation of this Poisson-like process?

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