Control bars of "HistogramDensity" in a DistributionChart?

Questions
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1

Hi!
I would like to use DistributionChart but I do not like the fact

that the smoothed distributions it produces have a larger support then they should

(for example see the picture below, where all the input numbers lie within range [0,1] - as you would expect of probability or any other normalised quantity - but the distribution, y-axis, goes visibly below 0 and above 1.)

fig1.gif
fig1.gif500×349 4.55 KB

Using

ChartElementFunction ->"HistogramDensity"

produces a more faithful version, with bin boundaries from [a, b),
which only has the problem that all ones lie in an interval [1,1+\epsilon).

fig2.gif
fig2.gif500×349 3.44 KB

Question

(How) can I set up the number of bins of a histogram which is computed by DistributionChart:

DistributionChart[data, ChartElementFunction ->"HistogramDensity"]

Follow-up question

Which of the Histogram binning methods is used by default in DistributionChart?

2

Depending on the data sometimes transforming the observations, fitting the density, and then transforming back gives appropriate results (and by definition will respect the bounded domain). See “Density Estimation for Statistics and Data Analysis” by B. W. Silverman (pages 29-32).

3

Thanks for the suggestion!

Transforming the data there and back is not a problem,
but is there a way of transforming the density back using the DensityChart function?