Graphics & Visualization

Several Different Distribution Functions

Directly visualize any of several different distribution functions, such as PDF, CDF, survival function, hazard function, and cumulative hazard functions.

In[1]:=

data1 = RandomVariate[NormalDistribution[0, 1], 10^3];

data2 = RandomVariate[BinormalDistribution[1/2], 10^3];

dfl = {"PDF", "CDF", "SF", "HF", "CHF"};

Grid[Transpose@{ParallelTable[

Histogram[data1, Automatic, dfl[[i]],

ChartStyle -> ColorData[45, i], PlotLabel -> dfl[[i]],

BaseStyle -> {FontFamily -> "Helvetica"},

LabelStyle -> Bold], {i, Length[dfl]}],

ParallelTable[

SmoothHistogram[data1, Automatic, dfl[[i]], Filling -> Axis,

FillingStyle -> ColorData[45, i], PlotLabel -> dfl[[i]],

BaseStyle -> {FontFamily -> "Helvetica"},

LabelStyle -> Bold], {i, Length[dfl]}],

ParallelTable[

Histogram3D[data2, 15, dfl[[i]], ChartStyle -> ColorData[45, i],

ChartBaseStyle -> EdgeForm[Opacity[0.3]], PlotLabel -> dfl[[i]],

BaseStyle -> {FontFamily -> "Helvetica"},

LabelStyle -> Bold], {i, Length[dfl]}],

ParallelTable[

SmoothHistogram3D[data2, Automatic, dfl[[i]], Filling -> Axis,

PlotStyle -> ColorData[45, i], PlotLabel -> dfl[[i]],

Lighting -> "Neutral", BaseStyle -> {FontFamily -> "Helvetica"},

LabelStyle -> Bold], {i, Length[dfl]}]}]

Out[1]=