Before we get to the good stuff, a side note: It seems
beneficial to have a name for my ranking system, in order to keep from having
to refer to it simply as “my ranking system,” which is both clunky and overbearing.
So here’s what I’m using at the moment; the name is of course subject to
potential future modification.
The rating system is based on an Elo model, but one that’s
multiplicative rather than additive. So let’s call that Melo (for
multiplicative Elo, or modified Elo, or whatever other applicable M-word you can think
of). The Melo ratings are then turned into full-year performance measures by
comparing the player’s performance to what would be expected of the #75-rated
player and taking the logarithm of the odds of #75 exceeding him. If you
combine Melo and logarithm, you come out with Melog. And since we’re using #75
as the basis for comparison (which may not always remain the case), we’ll use
Melog 75 as the name for the system.
With that out of the way, here are the second 10 of the
Melog 75 rankings for men’s tennis in 2010.