galton | Lightweight Node.js isochrone map server | Map library
kandi X-RAY | galton Summary
kandi X-RAY | galton Summary
Lightweight Node.js isochrone server. Build isochrones using OSRM, Turf and concaveman. Francis Galton is the author of the first known isochrone map.
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QUESTION
I'm a Python 3.0 beginner and I'm struggling to find a solution to the following problem. It's a step for a Galton Board simulation exercise.
- I have an numpy array, which length is auto generated based on another variable
- I am then generating a set of numbers, adding them to a list and summing them
- I would finally want to add a counter of +1 to the array index, which equals the number in the sum in step 2.
ANSWER
Answered 2022-Jan-26 at 14:11for j in str(sum(zufall_list)):
behaelter[j] += 1
QUESTION
I am simulating a basic Galton-Watson process (GWP) using a geometric distribution. I'm using this to find the probability of extinction for each generation. My question is, how do I find the generation at which the probability of extinction is equal to 1?
For example, I can create a function for the GWP like so:
...ANSWER
Answered 2021-Apr-29 at 20:19I can tell you how you would do this problem in principle, but I'm going to suggest that you may run into some difficulties (if you already know everything I'm about to say, just take it as advice to the next reader ...)
- theoretically, the Galton-Watson process extinction probability never goes exactly to 1 (unless prob==1, or in the infinite-time limit)
- of course, for any given replicate and random-number seed you can compute the first time point (if any) at which all of your lineages have gone extinct. This will be highly variable across runs, depending on the random-number seed ...
- the distribution of extinction times is extremely skewed; lineages that don't go extinct immediately will last a loooong time ...
I modified your GWP
function in two ways to make it more efficient: (1) stop the simulation when the lineage goes extinct; (2) replace the sum of geometric deviates with a single negative binomial deviate (see here)
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