I'm having a problem getting a combined effect - I have a list of values for which I'd like to plot a histogram. As a minimal example:

5.816414794263675*10^( -7)}

Histogram[data, Automatic, "Probability", 
 ScalingFunctions -> {"Log", "Log"}, PlotRange -> {0.00001, 1}]

The histogram's y-axis should be a probability. Both axes need to be on log-scale. I've solved that, but now I'd like to have the x-axis on a specified range. Apparently once there was HistogramRange which was superceded by PlotRange which gives me nothing.

It's probably silly but I can't find a solution. Anyone knows how? Thanks in advance.


Strangely, the following command produces a much nicer log-scale x-axis (by nicer I mean with better resolution to the whole range):

Show[Histogram[data, "Log", "Probability"]]

I still don't know how to specifically scale the axis.

  • 3
    $\begingroup$ Welcome to MSE. If you could post your code, or at least a Minimum Working Example (MWE) of what you're trying to do, it helps people to understand exactly what you're trying to do and give better feedback. $\endgroup$ – Quantum_Oli Dec 17 '15 at 13:47
  • $\begingroup$ Hey, thanks for the comment. I edited it. It's not very aesthetic but it's readable. $\endgroup$ – LeadFarmer Dec 18 '15 at 11:27
  • $\begingroup$ How about PlotRange -> {{0.00001, 1}, Automatic} $\endgroup$ – Lotus Dec 18 '15 at 11:58
  • $\begingroup$ Nope, it plots an empty histogram, with x-axis on logarithmic scale over {1,2.5} and no scale on the y-axis. Before the Automatic you suggested the result was opposite (i.e. blank x-axis, logarithmic {1,2.5} y-axis). $\endgroup$ – LeadFarmer Dec 18 '15 at 13:35
  • $\begingroup$ I wonder why you would want to have the vertical axis on a log scale and also have the horizontal axis on a log scale after constructing the histogram. That would seem to make meaningless the "Probability" option. I understand that if most of the numbers are squeezed to the left, then the usual histogram is not very informative. However, using Histogram[Log10[data], Automatic, "Probability"] might give you a more informative and interpretable display. $\endgroup$ – JimB Dec 18 '15 at 14:42

Your PlotRange specification is setting the range of the y-axis. You need to adjust it to set the range of the x-axis.

Histogram[data, Automatic, "Probability", 
 ScalingFunctions -> {"Log", "Log"}, 
 PlotRange -> {{0.00001, 1}, Automatic}]

enter image description here

Hope this helps.

  • $\begingroup$ Hey, thanks for the comment. It's actually the same as what @Lotus offered. Under the exact same command as you've written (and the aforementioned data) I'm getting a blank histogram with no ticks over the y-axis and a log-scale x-axis over {1,2.5}. Any guesses to what may be wrong? $\endgroup$ – LeadFarmer Dec 19 '15 at 9:08
  • $\begingroup$ Try executing in a new kernel. $\endgroup$ – Edmund Dec 19 '15 at 13:47
  • $\begingroup$ Hey, thanks again. To execute in a new kernel I followed this link, still same output. $\endgroup$ – LeadFarmer Dec 21 '15 at 8:38
  • $\begingroup$ You have restarted Mathematica and have a notebook that only has the data assignment and the Histogram code above and it does not work? $\endgroup$ – Edmund Dec 21 '15 at 13:16
  • $\begingroup$ Yes, I tried that. Also tried deleting paclets and restarting the computer. No success yet. $\endgroup$ – LeadFarmer Dec 24 '15 at 11:13

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