WOLFRAM

DataDistribution[ddist,]

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

Details

Examples

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Basic Examples  (4)Summary of the most common use cases

Create a univariate DataDistribution:

Using SmoothKernelDistribution:

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Using HistogramDistribution:

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Visualize the PDF of a data distribution:

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Out[3]=3

Visualize the CDF of a data distribution:

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Out[2]=2

Calculate moments of a data distribution:

Out[1]=1

Mean:

Out[2]=2

Variance:

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Scope  (4)Survey of the scope of standard use cases

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:

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Distribution functions:

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Moments:

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Multivariate data distribution:

Mean and standard deviation:

Out[3]=3
Out[4]=4

Scalar central moment for each marginal:

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Multivariate central joint moment:

Out[6]=6

DataDistribution created from quantity data retains information about units:

Out[1]=1
Out[2]=2

Extract distribution of the data magnitude and the unit of the data:

Out[3]=3

Find basic moments:

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Wolfram Research (2010), DataDistribution, Wolfram Language function, https://reference.wolfram.com/language/ref/DataDistribution.html (updated 2016).
Wolfram Research (2010), DataDistribution, Wolfram Language function, https://reference.wolfram.com/language/ref/DataDistribution.html (updated 2016).

Text

Wolfram Research (2010), DataDistribution, Wolfram Language function, https://reference.wolfram.com/language/ref/DataDistribution.html (updated 2016).

Wolfram Research (2010), DataDistribution, Wolfram Language function, https://reference.wolfram.com/language/ref/DataDistribution.html (updated 2016).

CMS

Wolfram Language. 2010. "DataDistribution." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2016. https://reference.wolfram.com/language/ref/DataDistribution.html.

Wolfram Language. 2010. "DataDistribution." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2016. https://reference.wolfram.com/language/ref/DataDistribution.html.

APA

Wolfram Language. (2010). DataDistribution. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DataDistribution.html

Wolfram Language. (2010). DataDistribution. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DataDistribution.html

BibTeX

@misc{reference.wolfram_2024_datadistribution, author="Wolfram Research", title="{DataDistribution}", year="2016", howpublished="\url{https://reference.wolfram.com/language/ref/DataDistribution.html}", note=[Accessed: 10-January-2025 ]}

@misc{reference.wolfram_2024_datadistribution, author="Wolfram Research", title="{DataDistribution}", year="2016", howpublished="\url{https://reference.wolfram.com/language/ref/DataDistribution.html}", note=[Accessed: 10-January-2025 ]}

BibLaTeX

@online{reference.wolfram_2024_datadistribution, organization={Wolfram Research}, title={DataDistribution}, year={2016}, url={https://reference.wolfram.com/language/ref/DataDistribution.html}, note=[Accessed: 10-January-2025 ]}

@online{reference.wolfram_2024_datadistribution, organization={Wolfram Research}, title={DataDistribution}, year={2016}, url={https://reference.wolfram.com/language/ref/DataDistribution.html}, note=[Accessed: 10-January-2025 ]}