B "Half of normal distribution"

[zasvitim]

Hello.

Is there a name for distribution that describes "broken" Galton box like this?
And distribution formula..

Edit:
I've also attached how it looks like in simulation.

Thanks.

 

[fresh_42]

Hello.

Is there a name for distribution that describes "broken" Galton box like this?
And distribution formula..

Thanks.

Yes, skip the "of": half-normal distribution.

I guess, your example of the halved Galton Board is better described by the truncated normal distribution.

 

[zasvitim]

Yes, skip the "of": half-normal distribution.

I guess, your example of the halved Galton Board is better described by the truncated normal distribution.

No, it actually looks different - like this:

 

[fresh_42]

No, it actually looks different - like this:

You mean a bit like this:

I can only see that the parameters differ.

 

[zasvitim]

You mean a bit like this:

View attachment 356862

I can only see that the parameters differ.

It's value grows from 0 as particle can not get there - gets out. It's definitely different behaviour.

 

[FactChecker]

The Galton box was intended to show that the binomial distribution approached a normal distribution as the sample gets large. If your distribution differs significantly from the "half normal" due to a small sample, then you might call if a "half binomial". I see it called that on some internet web sites. But that name might be informal. I don't see any authoritative name for it. There are several references to "truncated binomial" and it looks like a reasonably well recognized name.

 

[fresh_42]

It's vague grows from 0 as particle can not get there - gets out. It's definitely different behaviour.

As long as we don't have an equation, we are stuck in guesswork.

 

[fresh_42]

But aren't equations built by mathematicians?

Yes, but you are obviously not satisfied with what they came up with. I'm simply trying to quantify your dissatisfaction.

 

[berkeman]

Thread closed temporarily for Moderation.

 

[PeterDonis]

After moderator review, the thread will remain closed.