Function Similar to a Reverse Boltzman-Sigmoid?

I'm looking for an approximation of a battery discharge curve over time, which looks like this. In essence, it is the "reverse" of a boltzman-sigmoid, which plateaus, decreases and then plateaus, decreasing, plateauing and then decreasing. Assuming it is some combination of exponential functions, would anyone have any ideas?

Posted Feb 21, 2019, 11:50 PM UTC

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swarmalator•

Maybe a Gompertz function?

Edit: or perhaps check out the Chi-squared distribution.

1
stackdynamicOP•

Thanks, I think I might go with the hyperbolic sine function though, it seems suspiciously close (also suspect it is somehow connected to sigmoids, going to mess with derivatives/integrals a bit to see).

1