BUILT-IN MATHEMATICA SYMBOL

DensityHistogram

DensityHistogram[{{x₁, y₁}, {x₂, y₂}, ...}]
plots a density histogram of the values .

DensityHistogram[{{x₁, y₁}, {x₂, y₂}, ...}, bspec]
plots a density histogram with bins specified by bspec.

DensityHistogram[{{x₁, y₁}, {x₂, y₂}, ...}, bspec, hspec]
plots a density histogram with bin densities computed according to the specification hspec.

Details and Options Details and Options

DensityHistogram[data] by default plots a histogram with equal bins chosen to approximate an assumed underlying smooth distribution of the values .
The -width of each bin is computed according to the values , and the -width according to the values .
The following bin specifications bspec can be given:

	n	use n bins
	{w}	use bins of width w
	{min,max,w}	use bins of width w from min to max
	{{b₁,b₂,...}}	use bins
	Automatic	determine bin widths automatically
	"name"	use a named binning method
	{"Log",bspec}	apply binning bspec on log transformed data
	fb	apply fb to get an explicit bin specification
	{xspec,yspec}	give different x and y specifications

The binning specification is taken to use the Automatic underlying binning method.
Possible named binning methods include:

	"Sturges"	compute the number of bins based on the length of data
	"Scott"	asymptotically minimize the mean square error
	"FreedmanDiaconis"	twice the interquartile range divided by the cube root of sample size
	"Knuth"	balance likelihood and prior probability of a piecewise uniform model
	"Wand"	one-level recursive approximate Wand binning

The function fb in DensityHistogram[data, fb] is applied to a list of all , and should return an explicit bin list . In DensityHistogram[data, {fx, fy}], fx is applied to the list of , and fy to the list of .
Different forms of density histogram can be obtained by giving different bin density specifications hspec in DensityHistogram[data, bspec, hspec]. The following forms can be used:

	"Count"	the number of values lying in each bin
	"CumulativeCount"	cumulative counts
	"SurvivalCount"	survival counts
	"Probability"	fraction of values lying in each bin
	"PDF"	probability density function
	"CDF"	cumulative distribution function
	"SF"	survival function
	"HF"	hazard function
	"CHF"	cumulative hazard function
	{"Log",hspec}	log transformed height specification
	fh	heights obtained by applying fh to bins and counts

The function fh in DensityHistogram[data, bspec, fh] is applied to three arguments: a list of bins , a list of bins , and the corresponding 2D array of counts . The function should return an array of densities to be used for each of the .
Only values that consist of real numbers are assigned to bins; others are taken to be missing.
DensityHistogram has the same options as Graphics with the following additions and changes:

AspectRatio	1	ratio of height to width
ChartBaseStyle	Automatic	overall style for tiles
ChartElementFunction	Automatic	how to generate raw graphics for tiles
ClippingStyle	None	how to draw values clipped by PlotRange
ColorFunction	Automatic	how to color the plot
ColorFunctionScaling	True	whether to scale the argument to ColorFunction
Frame	True	whether to draw a frame around the plot
FrameTicks	Automatic	frame tick marks
LabelingFunction	Automatic	how to label elements
Method	Automatic	the method to use for refining the plot
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotRange	Automatic	the range of f or other values to include
PlotRangeClipping	True	whether to clip at the plot range
PlotRangePadding	Automatic	how much to pad the range of values
ScalingFunctions	None	how to scale individual coordinates

The arguments supplied to ChartElementFunction are the bin region , the bin values lists, and metadata .
The argument supplied to ColorFunction is the density for each bin.
With ScalingFunctions->{s_x, s_y, s_z}, the -coordinate is scaled using etc.
Style and other options are effectively applied in the order ChartBaseStyle, ColorFunction, and ChartElementFunction, with later specifications overriding earlier ones.