normal distribution

Definitions

Any of a family of continuous probability distributions such that the probability density function is the Gaussian function

Equivalents

Examples

“φ_(μ,σ²)(x)=1/(σ√),e²)/(2σ²))=1/σφ((x-μ)/σ), x∈ℝ.”

“It begins with the normal distribution, which is the limiting form⟳ of the sample sum over an arbitrary population.”

“The normal distribution is the backbone of traditional statistics. We learn⟳ very early in our statistics training that the distribution of sample means, regardless of the shape⟳ of the parent distribution, approaches a normal distribution as the sample size increases.”

“The development of the general theories of the normal distributions began with the work⟳ of de Moivre (1733, 1738) in his studies of approximations to certain binomial distributions for large positive integer n > 0.”

CEFR level