Perlin noise is a procedural texture primitive, a type of gradient noise used by visual effects artists to increase the appearance of realism in computer graphics. wikipedia 
In pink noise, there is equal energy in all octaves of frequency.wikipedia
The Tweedie exponential dispersion models are fundamental in statistical theory consequent to their roles as foci of convergence for a wide range of statistical processes. wikipedia
Using Perlin noise in sound synthesis. pdf
Value Noise and Procedural Patterns. post
Example using processing Noise function. p5js