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Is there a linear/mixture function that can fit the Gartner hype curve?

 4 months ago
source link: https://stats.stackexchange.com/questions/268293/is-there-a-linear-mixture-function-that-can-fit-the-gartner-hype-curve
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Is there a linear/mixture function that can fit the Gartner hype curve?

The Gartner hype curve:

is a branded graphical presentation developed and used by American information technology (IT) research and advisory firm Gartner for representing the maturity, adoption and social application of specific technologies.

Source: https://en.wikipedia.org/wiki/Hype_cycle

And it looks like this:

enter image description here

Is there a function that can fit this curve? If not, what would be the closest approximation of the function that can fit this curve?

The first part of the curve looks like a gaussian/normal distribution and the second part looks like a partial quadratic function and the last partlooks like a right tail of the logarithm curve.


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