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Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Nonparametric Statistical Distributions > DataDistribution >

Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Probability & Statistics > Nonparametric Statistical Distributions > DataDistribution >

BUILT-IN MATHEMATICA SYMBOL

DataDistribution

represents a probability distribution of type ddist, estimated from a set of data.

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DataDistribution objects are produced by functions such as EmpiricalDistribution, HistogramDistribution, SmoothKernelDistribution, KernelMixtureDistribution, and SurvivalDistribution.

In standard output format, only the estimation method ddist and the dimensionality of the data are printed.

DataDistribution can be used with such functions as Mean, CDF, and RandomVariate.

EXAMPLES

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Basic Examples (4)

Create a univariate DataDistribution:

Using SmoothKernelDistribution:

Using HistogramDistribution:

Visualize the PDF of a data distribution:

Visualize the CDF of a data distribution:

Calculate moments of a data distribution:

Mean:

Variance:

Create a univariate DataDistribution:

In[1]:=

Using SmoothKernelDistribution:

In[2]:=

Out[2]=

Using HistogramDistribution:

In[3]:=

Out[3]=

Visualize the PDF of a data distribution:

In[1]:=

In[2]:=

Out[2]=

In[3]:=

Out[3]=

Visualize the CDF of a data distribution:

In[1]:=

Out[1]=

In[2]:=

Out[2]=

Calculate moments of a data distribution:

Out[1]=

Out[2]=

Out[3]=

Scope (2)

DataDistribution objects can be created from five data-based distributions:

Any property that applies to a parametric distribution applies to data distributions:

Generating functions:

Random number generation:

Distribution functions:

Moments: