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BUILT-IN MATHEMATICA SYMBOL
WeightedData
WeightedData[{x1, x2, ...}, {w1, w2, ...}]
represents observations 
with weights 
.
WeightedData[{x1, x2, ...}, fn]
represents observations 
with weighting function fn.
Details
- WeightedData augments data with weights for each data point.
- The data
and weights 
should be lists of equal length. - The weight function fn is applied to the list
and should return an explicit list of weights 
. - WeightedData can be used in statistics functions including:
-
Mean, Variance, ... descriptive statistics functions ![TemplateBox[{EmpiricalDistribution, paclet:ref/EmpiricalDistribution}, RefLink, BaseStyle -> InlineFormula],...](Files/WeightedData.en/9.png "TemplateBox[{EmpiricalDistribution, paclet:ref/EmpiricalDistribution}, RefLink, BaseStyle -> InlineFormula],...")
nonparametric distribution estimation ![TemplateBox[{EstimatedDistribution, paclet:ref/EstimatedDistribution}, RefLink, BaseStyle -> InlineFormula],...](Files/WeightedData.en/10.png "TemplateBox[{EstimatedDistribution, paclet:ref/EstimatedDistribution}, RefLink, BaseStyle -> InlineFormula],...")
parametric distribution estimation - WeightedData[{x1, x2, ...}] gives data with equal weights.
- Properties of WeightedData can be obtained by specifying WeightedData[...]["property"].
- A list of available properties can be obtained using WeightedData[...]["Properties"].
- WeightedData has the following properties:
-
"EmpiricalPDF" data values and estimated weights "InputData" unweighted input data values "MetaInformation" a list containing meta-information rules "Weights" a list containing the data weights
New in 9
