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Re: Fit Gaussian function to histogram

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  Re: Fit Gaussian function to histogram Alexei Boulbitch <alexei.boulbitch@iee.lu> - 2011-03-31 11:04 +0000

#1364 — Re: Fit Gaussian function to histogram

Hi,

try this:


data = RandomVariate[NormalDistribution[], 1000];
hist = Histogram[data, "Wand", "PDF", Frame -> True];
dist = EstimatedDistribution[data,
    NormalDistribution[\[Mu], \[Sigma]]];
distPlot = Plot[PDF[dist, x], {x, -4, 4}, PlotStyle -> {Thick, Red}];
Show[{hist, unimodalDistPlot1}, Epilog -> Inset[
    Panel@Column[{
       Row[{Style["\[Mu] \[TildeTilde]", 12, Blue], Spacer[5],
         Style[NumberForm[dist[[1]], {4, 2}], 12, Blue]
             }],

       Row[{Style["\[Sigma] \[TildeTilde]", 12, Blue], Spacer[5],
                        Style[NumberForm[dist[[2]], {4, 2}], 12, Blue]
                     }],
                     Row[{Style["Test: ", 10, Blue], Spacer[5],

         Style[NumberForm[DistributionFitTest[data, dist],
                             {4, 3}],      12, Blue]
                           }]
                                 }], Scaled[{0.15, 0.7}]
                                   ]]

Fave fun, Alexei

-----Original Message-----
From: cubsfan334 [mailto:cubsfan334  at gmail.com]
Sent: Tuesday, March 29, 2011 7:55 AM
To: mathgroup at smc.vnet.net
Subject:   Fit Gaussian function to histogram

Hi,

I realize that I can generate a histogram from a data set using the
Histogram[{data},bin size] command, yet this only seems to create a
graphic.  Is there anyway to fit a function (preferably Gaussian) to
the histogram Mathematica creates?

Thanks!


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Alexei Boulbitch, Dr. habil.
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