MATLAB: How to find parameters of binomial distribution

parameter binomial distribution

Dear all,

What code can I use in matlab to find the parameters of a binomial distribution? This question is very big. So I am restricting it to a specific situation.

X is binomiallly distributed with parameter n and fraction p. The parameter p is unknown.

What function in matlab can help me to find that parameter if for example it is known that X=randi(10,20,1); P(X<=4)=0.3?

Thank you in advance.

Best Answer

If you have the Statsitics and Machine Learning Toolbox, see if the binofit (link) function will do what you want.

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The following implementation will give the pmf of poisson binomial distribution accuratly with the lest complexiety.

function S=Poisson_Binomial(p,N)
S=zeros(1,N+1);   
w=2*pi/(N+1);
for k=0:N
for l=0:N
   S(k+1)=S(k+1)+exp(-1i*w*l*k)*prod((1-p)+p*exp(1i*w*l));     
end
end
end

Best Answer

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