My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 12th, 2019, 03:41 PM   #1
Newbie
 
Joined: Apr 2019
From: Poland

Posts: 2
Thanks: 0

How does the following equation make sense in case of a Poisson process?

>$$P(N_1=2, N_4=6) = P(N_1=2, N_4-N_1=4) = P(N_1=2) \cdot P(N_3=4)$$

How does the above equation make sense in case of a Poisson process?

Why is $(N_3=4)=(N_4-N_1=4)$?

Can anyone explain?

Last edited by user366312; April 12th, 2019 at 03:59 PM.
user366312 is offline  
 
April 12th, 2019, 10:28 PM   #2
Newbie
 
Joined: Apr 2019
From: Poland

Posts: 2
Thanks: 0

How does the following equation make sense in case of a Poisson process?

What I understand is:

1. $P(N_1=2, N_4=6)$ means "the probability of count of 2 items arriving at step-1, AND 6 items arriving at step-4.

2. $P(N_1=2, N_4-N_1=4)$ means that "the probability of count of 2 items arriving at step-1 AND the 4 items as the difference of steps 4 and 1.

3. which is same as $P(N_1=2, N_3=4)$ i.e. "the probability of count of 2 items at step-1 AND 4 items at step-3".



I understand (2) as (1) is represented as a "difference" term in (2).



But, how is (2) and (3) equivalent?
user366312 is offline  
Reply

  My Math Forum > High School Math Forum > Probability and Statistics

Tags
case, equation, make, poisson, process, sense, stochastic process



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Does this make sense? girlbadatmath Algebra 2 August 9th, 2014 10:53 AM
Rounding numbers, does this make sense to you? king.oslo Applied Math 4 September 19th, 2013 11:56 PM
This just doesn't make sense to me... perfect_world Elementary Math 3 August 13th, 2013 10:22 AM
Does my son's equation make sense? eliudthorn Algebra 8 January 21st, 2012 01:07 PM





Copyright © 2019 My Math Forum. All rights reserved.