MATLAB: Power law distribution, How could I generate random variables from the truncated power -law distribution and its PDf

cdfinverse power lawinverse transform samplingpdfpowerlawdistribution

How could I generate random variables from the truncated power -law distribution and its PDf?

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You need to use inverse transform sampling. I attached a demo where I use it to get random numbers from a Rayleigh distribution.

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MATLAB: Ampere’s Law

You may not have the definition of it that you need.

Try this:

mu0 = pi*4E-7;                                      % Ref: https://en.wikipedia.org/wiki/Vacuum_permeability
AmpereB = @(m0u,I,r) (mu0.*I)./(2*pi*r);            % µₒ = Magnetic Constant, I = Current (A), r = radius (m), Ref: https://en.wikipedia.org/wiki/Amp%C3%A8re%27s_circuital_law
radius = linspace(1E-3, 1);
I = 1;
figure(1)
semilogy(radius, AmpereB(mu0,I,radius))
grid
xlabel('r (m)')
ylabel('B')

MATLAB: Are the logit-normal distribution is implemented in MATLAB

Try cumsum() and use Inverse Transform Sampling.

Also see RANDRAW to see how the author generates dozens of distributions.

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MATLAB: Ampere’s Law

MATLAB: Are the logit-normal distribution is implemented in MATLAB

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