# Normal Distribution

**Definition:** [crh] The well known bell shaped curve. According to the Central Limit Theorem, the probability density functionDefinition: A> of a large number of independent, identically distributed random numbers will approach the normal distribution. In the fractal family of dis**Definition:** tributions, the normal distribution only exists when alpha equals 2, or the Hurst exponent equals 0.50. Thus, the normal distribution is**Definition:** a special case which in time series analysis is quite rare. See: Alpha, Central Limit Theorem, **Definition:** Fractal Distribution.

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