🔬Data Science: Self-Similarity (Definitions)

"A process is said to be self-similar if its behavior is roughly the same across different spacial or time scales." (Artur Ziviani, "Internet Measurements", 2008)

"Self-similarity implies that a change of the time scale is equivalent to a change in state space scale. For discrete processes, self-similarity can be described as distributional invariance upon aggregation and scaling." (Federico Montesino Pouzols et al, "Performance Measurement of Computer Networks", 2008)

"When applied to stochastic processes, it indicates that the process follows the same distribution on all time scales." (David Rincón & Sebastià Sallent, "Scaling Properties of Network Traffic", 2008)