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A Gaussian probability law on the real line, specified by a mean and variance .
Allowing includes the degenerate point mass at ; some conventions reserve “normal distribution” for positive variance.
wp-normal-distributionnlab-gaussian-distributiondurrett-probabilityEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The classical normalized sums converge in distribution to the standard normal law, not generally in probability on their original probability space.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-central-limit-theoremwp-normal-distributionnlab-central-limit-theoremdurrett-probabilityThis is an authored directed relation from the source endpoint to the target endpoint.
Normal distributions form the Gaussian location-scale subclass of probability distributions on the real line.
The target is a member or subtype of the broader source class.
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