I've been working through a pop math book of problems
and puzzles. The author is fond of the Poisson distribution.
My recollection is that it pops up in bus stop frequency
examples. So, is every bus stop problem associated with
a unique Poisson dist.? Conversely, does every such dist.
represent a bus stop problem?
An example from the book, involves Petri dishes, which
see an average of 3 mold colonies apiece. Is this a 'bus stop'?
I seek some intuition here -
I've been working through a pop math book of problems
and puzzles. The author is fond of the Poisson distribution.
The Poisson distribution arises from consideration of random,
independent, and "uniform" which has to be pretty basic.
The time between two Poisson (across time) events is
distributioned Expontial. A collection of events, i.e., the
counts of grouped Poisson events, approaches Normal as
the mean gets larger.
Another pop author might be more fond of the Normal.
My recollection is that it pops up in bus stop frequency
examples. So, is every bus stop problem associated with
a unique Poisson dist.? Conversely, does every such dist.
represent a bus stop problem?
I never saw many bus stop problems. Actually, they came
up in Queue theory, which starts (often) with Poisson and
extends to complications other than Normal.
On September 25, Rich Ulrich wrote:
I've been working through a pop math book of problems
and puzzles. The author is fond of the Poisson distribution.
The Poisson distribution arises from consideration of random,
independent, and "uniform" which has to be pretty basic.
?
Can you elaborate on that?
The time between two Poisson (across time) events is
distributioned Expontial. A collection of events, i.e., the
counts of grouped Poisson events, approaches Normal as
the mean gets larger.
?
I'd expect that time intervals are Poisson distributed.
Another pop author might be more fond of the Normal.
My recollection is that it pops up in bus stop frequency
examples. So, is every bus stop problem associated with
a unique Poisson dist.? Conversely, does every such dist.
represent a bus stop problem?
I never saw many bus stop problems. Actually, they came
up in Queue theory, which starts (often) with Poisson and
extends to complications other than Normal.
I mean, given a problem presented as "m events / unit time",
is that always modeled by Poisson?
Sysop: | Keyop |
---|---|
Location: | Huddersfield, West Yorkshire, UK |
Users: | 113 |
Nodes: | 8 (1 / 7) |
Uptime: | 127:36:25 |
Calls: | 2,501 |
Files: | 8,692 |
Messages: | 1,924,641 |