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Player rating for tournaments across all installments of Heroes.

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AlexeyPank;64790
Yes, a player with a zero rating will receive a bonus. But, as you could see, this bonus is not very significant and will not be able to significantly change the overall picture. And over time, when the number of regular players noticeably exceeds the number of newcomers, it will become completely unnoticeable.
In general, this bonus can solve the following problems:
1. Take into account the number of players.
2. Take into account the player's previous results in relation to new ones.
3. Take into account the average rating of the tournament (i.e., if there is one strong player, and the others are much weaker, then the average rating will be lower and, therefore, the bonuses will be small).
I'm not arguing that the formula I proposed may not be correct. But has anyone suggested another one that takes into account all the points I listed?
You are absolutely right. But AmberSoler is also right. Everyone comes up with a rating based on the logic of what they want to see and take into account. For example, I believe that the number of players and the place are not so important for playing Heroes for a rating. Especially if you think about the overall rating among online resources. Therefore, everyone is right in their own way.
AlexeyPank;64790

P.S. And yet, the linear component should be calculated not from zero, because then what is the point for a weak player to participate among the strongest?
If it is not calculated from zero, then the oscillator can be completely discarded, in the sense that the non-linear component that takes into account the result in days in relation to the leader will probably be reduced to nothing, so why use it, just leave the linear one and calculate it not from zero.