Re: [research report] Equation Derived -- Re: On Game Space Size (Monte Carlo)

[Antti Huima <huima@xxxxxx>]

> 	Chemists should know the formula is similar to "Hill plot" equation.

It is a good exercise to derive a simple equation to match given
statistical data, especially if the data itself contains many variables.
However, in the case of the game of go, the equation in itself is not very
valuable because an exact numerical calculation can be performed. However,
if you could somehow show that the equation stems from the structure of go
in a way that does not need to relate to the statistical results then that
would be cool.

> For every entry below, 100 random samples are drawn.

100 random samples is way too few! This is manifested in your data.
Consider e.g.:

> 10    69    0.76
> 10    70    0.72*
> 10    71    0.73
> 10    72    0.82
> 10    73    0.77*
> 10    74    0.83

I assume the probabilities should raise monotonically.

Anyway I think this Monte Carlo talk is nowadays quite involved. Would
someone like to post a summary and conclude the discussion?

-- 
Antti Huima
SSH Communications Security Oy