MATLAB: How to plot distribution curve of multiple data

curve fittingfithistogramplot

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x = [-3:.1:3];
y = normpdf(x,0,1);
y2 = normpdf(x,0,0.5);
plot(x,y,x,y2)

More info:https://es.mathworks.com/help/stats/normal-distribution.html

Related Solutions

MATLAB: Evaluate a distribution programmatically

The fitdist (link) function will fit a distribution to data, producing a probability distribution object:

pd = fitdist(x,distname)

You can then calculate the probabilities with it using the Plot Standard Normal Distribution cdf (link) or Plot the pdf of a Standard Normal Distribution (link) functions:

data = 5 + 2*randn(1, 100);                         % Create Data
pd = fitdist(data(:), 'Normal');
x = linspace(-2, 12);
Npdf = pdf(pd, x);
Ncdf = cdf(pd, x);
figure
plot(x, Npdf,   x, Ncdf)
grid

MATLAB: Intensity distribution of a curve

I would do something like this:

x = -5:0.5:5;                                                       % Create Independent Variable
curve = exp(-x.^2);                                                 % Create Dependent Variable
original_curve_area = trapz(x, curve);
scaled_curve = curve * 200E-9/original_curve_area;
scaled_curve_fcn = @(xi) interp1(x, scaled_curve, xi, 'linear');    % Use The Appropriate ‘Method’ For Your Curve
xi = 0.33;                                                          % Desired Point On ‘scaled_curve’ Data
yi = scaled_curve_fcn(xi);                                          % Corresponding Point On ‘scaled_curve’
figure(1)
plot(x,scaled_curve)
hold on
plot(xi, yi, 'pg', 'MarkerSize',15, 'MarkerFaceColor','g')
hold off
grid

The ‘scaled_curve_fcn’ uses the interpolation function interp1 to calculate the value of the curve for any value that is within the limits of the independent variable. Use it as you would use any other function. There are several interpolation method options available. I use 'linear' here, others may work better for your data. See the documentation on interp1 (link) for details.

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Related Solutions

MATLAB: Evaluate a distribution programmatically

MATLAB: Intensity distribution of a curve

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