Compare thin-tailed vs fat-tailed distributions in random walks
Normal: Bell curve where most steps are near the mean, extreme values are very rare.
Uniform: All values within range are equally likely. Has finite support (hard bounds).
These produce more predictable, confined random walks with occasional moderate excursions.
Pareto (Power Law):Extreme values occur much more frequently than in normal distributions aas can be seen by the kurtosis
The "80-20 rule" distribution where rare large events dominate the outcomes.
These create wild, unpredictable walks with sudden large jumps that can completely change the trajectory.