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BUILT-IN MATHEMATICA SYMBOL
EmpiricalDistribution
EmpiricalDistribution[{x1, x2, ...}]
represents an empirical distribution based on the data values 
.
EmpiricalDistribution[{{x1, y1, ...}, {x2, y2, ...}, ...}]
represents a multivariate empirical distribution based on the data values 
.
EmpiricalDistribution[{w1, w2, ...}->{d1, d2, ...}]
represents an empirical distribution where data values 
occur with weights 
.
Details
- EmpiricalDistribution returns a DataDistribution object that can be used like any other probability distribution.
- The cumulative distribution function for EmpiricalDistribution for a value x is given by
. - EmpiricalDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
Basic Examples (2)
Create an empirical distribution of univariate data:
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Visualize distribution functions:
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Compute moments and quantiles:
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Create an empirical distribution of bivariate data:
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Compute covariance and general moments:
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