gaussian distribution

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Related to Gaussian Distributions: Gaussian random variable

nor·mal dis·tri·bu·tion

a specific bell-shaped frequency distribution commonly assumed by statisticians to represent the infinite population of measurements from which a sample has been drawn; characterized by two parameters, the mean (x) and the standard deviation (σ), in the equation:

normal distribution

A bell-shaped frequency distribution of data, the plotted curve of which is symmetrical about the mean, indicating no significant deviation of the data set from the mean.

Properties of a normal distribution
Continuous and symmetrical, with both tails extending to infinity; arithmetic mean, mode, and median are identical. The curve’s shape is completely determined by the mean and standard deviation.

gaus·si·an dis·tri·bu·tion

(gow'sē-ăn dis'tri-byū'shŭn)
The statistical distribution of members of a population around the population mean. In a gaussian distribution, 68.2% of values fall within ± 1 standard deviation (SD); 95.4% fall within ± 2 SD of the mean; and 99.7% fall within ± 3 SD of the mean.
Synonym(s): bell-shaped curve, normal distribution.

Gaussian distribution

Normal distribution. The distribution of characteristics found in large populations subject to many causes of variability. The graph of the Gaussian distribution of any characteristic (such as body height) is a symmetrical bell shape, centred on the mean. (Johann Karl Friedrich Gauss, 1777–1855, German mathematician).


Johann K.F., German physicist, 1777-1855.
gauss - a unit of magnetic field intensity.
gaussian curve - a specific bell-shaped frequency distribution. Synonym(s): gaussian distribution; normal distribution
gaussian distribution - Synonym(s): gaussian curve


the arrangement of numerical data. The arrangement may be in accordance with magnitude, a frequency distribution, or in relation to geographical location, a spatial distribution.

age distribution
see age distribution.
bimodal distribution
the distribution has two regions of high frequency of observations separated by a zone of low frequency.
binomial distribution
a probability distribution associated with two mutually exclusive outcomes.
cluster distribution
a nonrandom distribution with observations aggregating about geographic or temporal variables. May be deceptive and merely reflect the distribution of an uneven population.
frequency distribution
a table or graph of the frequency of occurrence of each value of a variable.
Gaussian distribution
see normal distribution (below).
hypergeometric distribution
may apply to sampling without replacement of a finite population.
lognormal distribution
a distribution which is normal when the log values of the variable are considered.
normal distribution
a graph of the distribution appears as a bell-shaped curve which is symmetrical on the two sides of the vertical axis through the peak of the curve. Called also gaussian distribution.
parent distribution
the distribution (population) that was originally sampled.
Poisson distribution
regular distribution
distributed at regular intervals of time or space; all values within its given interval are equally likely.
sex distribution
an increase in frequency in one sex, which includes neutered males and neutered females. Called also sex-linked or sex-associated.
skewed distribution
a distribution in which the curve illustrating it is not symmetrical but has a long tail on one or other side of the graph.
spatial distribution
variations in distribution related to position in space, e.g. close to the door of a barn.
see t-test.
temporal distribution
variation in distribution related to time, e.g. occurrence of disease incidents after visits by veterinarians, inseminators, feed salesmen.
References in periodicals archive ?
Impact of the number of the Gaussian distributions on localization accuracy Number of the Gaussian distributions Localization error (%) 2 0.
Then, we could express the Gaussian distribution model for bursts and suppressions as
If a probability distribution is Gaussian then the process behind may be an independent random walk but may be also some causal process which simulates Gaussian distribution.
t] draw N-dimensional sample vectors from the current distribution of the weights, the Gaussian distribution with mean [[mu].
5 because the deployment area for the assumption of a Gaussian distribution of mobile locations has no edges.
Second, intractable message was approximated by Gaussian distribution via minimizing the Kullback-Leibler divergence (KLD) between them.
A single-mode Gaussian distribution models the characteristics of a speaker by a locus (mean vector) and an elliptic (covariance matrix), and vector quantization by a discrete set of samples [5].
Key Words: Complex Gaussian, Cumulative Density Function, MGF and CF, Probability Density Function, RealGaussian 1 INTRODUCTIONThe study of both real and complex Gaussian distributions isvery essential and critical in further understanding of Gaussian Random and Stochastic Processes.
In "The Normal Inverse Gaussian Distribution and Non-Gaussian Black-Scholes Contingent Pricing" section, we present a brief summary of results about the NIG family of distributions and the corresponding non-Gaussian financial theory.
In case of uniform and Gaussian distributions the convergence speed remains close to the average (about 3 times better than the worst and 3 times worse than the best).
Further research is to extend models for non Gaussian distributions of sensor likelihoods, and apply MrE when all sensors are prone to errors by seeking for static features to infer from.
Validation experiments (results not presented) showed that the quality of the gaussian distributions produced was sufficiently high for the present study.