SmoothHistogram3D

SmoothHistogram3D[{{x₁,y₁},{x₂,y₂},…}]

plots a 3D smooth kernel histogram of the values {x_i,y_i}.

SmoothHistogram3D[{{x₁,y₁},{x₂,y₂},…},espec]

plots a 3D smooth kernel histogram with estimator specification espec.

SmoothHistogram3D[{{x₁,y₁},{x₂,y₂},…},espec,dfun]

plots the distribution function dfun.

SmoothHistogram3D[{data₁,data₂,…},…]

plots smooth kernel histograms for multiple datasets data_i.

Details and Options

SmoothHistogram3D[data] by default plots the PDF of {{x₁,y₁},…}, based on a smooth kernel density estimate.
The estimator specification espec can be of the form bw or {bw,kernel}.
The specification for bandwidth bw and kernel are the same as for SmoothKernelDistribution.
Possible distribution functions dfun include:

	"PDF"	probability density function
	"Intensity"	count density function
	"CDF"	cumulative distribution function
	"SF"	survival function
	"HF"	hazard function
	"CHF"	cumulative hazard function

The form w[data] provides a wrapper w to be applied to the resulting graphics primitives.
The following wrappers can be used:

	Annotation[e,label]	provide an annotation
	Button[e,action]	define an action to execute when the element is clicked
	EventHandler[e,…]	define a general event handler for the element
	Hyperlink[e,uri]	make the element act as a hyperlink
	PopupWindow[e,cont]	attach a popup window to the element
	StatusArea[e,label]	display in the status area when the element is moused over
	Style[e,opts]	show the element using the specified styles
	Tooltip[e,label]	attach an arbitrary tooltip to the element

SmoothHistogram3D has the same options as Graphics3D with the following additions and changes:

Axes	True	whether to draw axes
BoundaryStyle	Automatic	how to draw boundary lines for surfaces
BoxRatios	{1,1,0.4}	bounding 3D box ratios
ClippingStyle	Automatic	how to draw clipped parts of surfaces
ColorFunction	Automatic	how to determine the color of surfaces
ColorFunctionScaling	True	whether to scale arguments to ColorFunction
Filling	None	filling under each surface
FillingStyle	Opacity[0.5]	style to use for filling
MaxRecursion	Automatic	the maximum number of recursive subdivisions allowed
Mesh	Automatic	how many mesh lines in each direction to draw
MeshFunctions	{#3&}	how to determine the placement of mesh lines
MeshShading	None	how to shade regions between mesh lines
MeshStyle	Automatic	the style for mesh lines
Method	Automatic	the method to use for refining surfaces
NormalsFunction	Automatic	how to determine effective surface normals
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotPoints	Automatic	the initial number of sample points in each direction
PlotRange	Automatic	the range of z or other values to include
PlotStyle	Automatic	graphics directives for the style for each surface
PlotTheme	$PlotTheme	overall theme for the plot
RegionFunction	(True&)	how to determine whether a point should be included
ScalingFunctions	None	how to scale individual coordinates
WorkingPrecision	MachinePrecision	the precision used in internal computations

The arguments supplied to RegionFunction, MeshFunctions, NormalsFunction, and ColorFunction are x, y, and f, where f can be the PDF, CDF, etc. of the distribution.
With ScalingFunctions->{s_x,s_y,s_z}, the coordinate is scaled using s_x, the coordinate is scaled using s_y, and the coordinate is scaled using s_z.