Histogram with log Bin width

I have a single column vector with values ranging from 0 to about 400 000.

I need to make a histogram from this data, which has a logarithmically changing bin size.

The height values in each bin should also be divided with the corresponding bins width.

How can this be done?

Advice would be appreciated,

Thanks

Answer 1

[Sean de Wolski]

x = rand(1,10000)*100000;
bins = 10.^(0:5);
histogram(x, bins);
set(gca, "XScale", "log")

[Markus Similä]

Thanks!

This sort of works. But does it divide the values by the width of each bin?

Answer 2

[Markus Similä]

edges = 10.^(1:0.01:6);
[N,edges] = histcounts(x,edges,'Normalization','countdensity');
g = histogram('BinEdges',edges,'BinCounts',N);
set(gca, "Xscale", "log")
set(gca, "YScale", "log")

Allright, I'm going to answer my own question.

x is your data.

'countdensity' normalizes the data exactly how you want.

Make sure that the histogram command doesn't bin your data anymore,

as you have done it already in histcounts. :D