Using 'e' for Hashrate Calculation in Mining Pools

Trying to set up a mining pool with Stratum 2 in Rust. I’m looking into how to calculate miners' hashrate based on their submitted shares. Did a little test, and it seems like this method works really well: 1. Grab the shares from the miner over 10 minutes. 2. Calculate the difficulty with share_diff = max_target / hash for each share. 3. Find the share at the (1 1/e) percentile, which is about the 63rd percentile for difficulty. Anyone else tried this?

Not sure about this method honestly. I mean, figuring out the 'difficulty' of a hash isn't really a solid approach for determining hashrate. You’re counting total hashes over ten minutes and dividing by 600 seconds, right? So the hashrate is likely coming from that part. The calculations involving 'e' seem to just balance out... Makes me wonder if it's worth the hassle. Idk, maybe I’m missing something?