       Re: another Epilog LogPlot problem

• To: mathgroup at smc.vnet.net
• Subject: [mg101829] Re: another Epilog LogPlot problem
• From: Mark K <brac71 at yahoo.com>
• Date: Sat, 18 Jul 2009 04:52:18 -0400 (EDT)
• References: <h3n5vt\$2i9\$1@smc.vnet.net>

```Here is a simple example to demonstrate the "bad" behaviour of
LogPlot
when used in an Epilog to a LogProbabilityDensity Histogram, which I
mentioned in my original post/question.

(Basically you can see that the Epilog plot gives the wrong scaling,
putting the peak incorrectly at ~0.12 instead of ~0.4. )

Histogram[{RandomReal[NormalDistribution[0, 1], 2000]}, {-4,4, .02},
"LogProbabilityDensity", ChartBaseStyle -> EdgeForm[None],  AxesOrigin
-> {0, Log10[.01]},  PlotRange -> {{-3, 3}, Log10[{.01, 0.8}]} ,
Epilog -> First@LogPlot[PDF[NormalDistribution[0, 1], x], {x, -3, 3},
PlotRange -> {{-3, 3}, {.01, .8}}] ]

On Jul 16, 2:21 pm, MarkK <bra... at yahoo.com> wrote:
> Hello, I am wondering how to overlay a LogPlot onto a
> LogProbabilityDensity histogram, and have the correct scaling.
> I.e., if I make a "LogProbabilityDensity"-typed histogram
>  (with appropriate PlotRange including Log10[{ymin, ymax}]),
> then trying to plot a function on top of that using
>   Epilog -> First@LogPlot[{P[x]}, {x,xmin,xmax}, PlotRange ->
> {{xmin,xmax}, {ymin, ymax}}]
> gives me an incorrectly scaled plot on top of the histogram.
>
> How can I fix this?  Should making a LogPlot of a function over a Log-
> histogram be so difficult?
>
> thanks, --Mark [mkel at risoe dot dtu dot dk]

```

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