I hope you don't mind that I don't understand anything of these stuff, 100% copied from Smogon :D
I read Glickman's paper (the inventor of the Glicko and Glicko-2 rating systems) and he provides an equation that essentially calculates the probability that a player with rating R_1 and deviation RD_1 beats another player with rating R_2 and deviation RD_2. It is written below:
Probability = 1 / (1 + 10^(((R_2 - R_1) / (400 * sqrt(1 + C * (RD_1^2 + RD_2^2))))))
where C = 3 * ln(10)^2 / (400 * pi)^2 (approximately 0.0000100724)
pi = 3.14159265359
sqrt(x) is the square root of x
ln(x) is the natural logarithm of x
After consulting a bit with the community, it was decided that this system's rating should represent the estimated percentage that that player has of winning a battle against a random opponent.
So, finally, here is what I propose to be a much better estimate of the player's rating. I'm calling it GLIXARE, short for 'Glicko - X-Act Rating Estimate':
Given a player rating R and a rating deviation RD:
GLIXARE Rating = 0, if RD > 100
GLIXARE Rating = round(10000 / (1 + 10^(((1500 - R) * pi / sqrt(3 * ln(10)^2 * RD^2 + 2500 * (64 * pi^2 + 147 * ln(10)^2)))))) / 100, otherwise
Source
Rating is your ELO. "Rating deviation" refers to Glicko-1. Whenever you don't have a GXE, it shows "(more games needed)". This is because your deviation is more than 100, as explained in the above calculation.
Hope this helps!
