# Statistics - (Probability) Density Function (PDF)

A probability density function (pdf) defines a distribution for continuous random variables whereas a Probability mass function (PMF) defines distribution for discrete random variables.

The simplest of all density estimators is the histogram.

## Estimator

An other word for a density function ?

## Documentation / Reference

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GGplot - Stat - (Statistical transformation|Statistic)

The Statistical transformation (stat). Multiple layers, statistical transformation. It's often useful to transform your data before plotting, and that's what statistical transformations do. geom_histograstat_bibastat_smootgeom_densitstat_densitgeomsdata...
Ggplot - Density estimate (geom_density, stat_density)

density in Ggplot See: geom_density geom_density = geom_densitystat_density + geom_ribbon
R - Density

The density function This function computes kernel density estimates. The algorithm used in density.default disperses the mass of the empirical distribution function over a regular grid of at least 512...
Statistic - Smooth (Function Continuity) (Soft ?)

To smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving out noise. In mathematical analysis, smoothness has to do with how many...
Statistics - (Discretizing|binning) (bin)

Discretization is the process of transforming numeric variables into nominal variables called bin. The created variables are nominal but are ordered (which is a concept that you will not find in true...
Statistics - (Normal|Gaussian) Distribution - Bell Curve

A normal distribution is one of underlying assumptions of a lot of statistical procedures. In nature, every outcome that depends on the sum of many independent events will approximate the Gaussian distribution...
Statistics - Central limit theorem (CLT)

The Central_limit_theoremcentral limit theorem (CLT) is a probability theorem (unofficial sovereign) It establishes that when: random variables (independent) (estimate of a random process) are added...
Statistics - Cumulative Distribution Function (CDF)

The cumulative Distribution Function (CDF) is the cumulative function of the probability density function.
Statistics - Fisher (Multiple Linear Discriminant Analysis|multi-variant Gaussian)

multi-variant Gaussians. Fisher has describe first this analysis with his Iris Data Set. A Fisher's linear discriminant analysis or Gaussian LDA measures which centroid from each class is the closest....