# What is normal distribution?

## Normal Distribution

In probability theory, the normal (or Gaussian) distribution is a continuous probability distribution, defined on the entire real line, that has a bell-shaped probability density function, known as the Gaussian function or informally as the bell curve:

### Some articles on normal distribution:

... Normal distribution Generalized normal distribution Log-normal distribution Skewness ...
Normal Distribution - History - Naming
... Since its introduction, the normal distribution has been known by many different names the law of error, the law of facility of errors, Laplace's second law, Gaussian law, etc ... Gauss himself apparently coined the term with reference to the "normal equations" involved in its applications, with normal having its technical meaning of ... However, by the end of the 19th century some authors had started using the name normal distribution, where the word "normal" was used as an adjective – the term ...
Stein's Method - The Basic Approach - The Stein Operator
... We assume now that the distribution is a fixed distribution in what follows we shall in particular consider the case where is the standard normal distribution, which serves as a classical example of the ... numbers, and which 'characterizes' the distribution in the sense that the following equivalence holds We call such an operator the Stein operator ... For the standard normal distribution, Stein's lemma exactly yields such an operator thus we can take We note that there are in general infinitely many such operators and it still remains an ...
Skew Normal Distribution
... In probability theory and statistics, the skew normal distribution is a continuous probability distribution that generalises the normal distribution to allow for non-zero skewness ...
Generalized Normal Distribution - Version 1 - Applications
... This version of the generalized normal distribution has been used in modeling when the concentration of values around the mean and the tail behavior are of particular interest ... Other families of distributions can be used if the focus is on other deviations from normality ... If the symmetry of the distribution is the main interest, the skew normal family or version 2 of the generalized normal family discussed below can be used ...

### Famous quotes containing the words distribution and/or normal:

The man who pretends that the distribution of income in this country reflects the distribution of ability or character is an ignoramus. The man who says that it could by any possible political device be made to do so is an unpractical visionary. But the man who says that it ought to do so is something worse than an ignoramous and more disastrous than a visionary: he is, in the profoundest Scriptural sense of the word, a fool.
George Bernard Shaw (1856–1950)

Our normal waking consciousness, rational consciousness as we call it, is but one special type of consciousness, whilst all about it, parted from it by the filmiest of screens, there lie potential forms of consciousness entirely different.
William James (1842–1910)