minimize Kolmogorov-Smirnov distance
Show older comments
Hi, I have 5 parameters to estimate (m,V,M,r,F). M=mu0*(1-m) and V=sigma0*(1-m). and sigma e mu are other two parameters My goal is to find the parameters that minimize the KS distance of dW so computed:
for t=1:T
W(t,1)=(P(t,1).*exp(-r*t)-F).^-(m-1);
end
dW=W(2:end,1)-W(1:end-1,1);
respect to a normal distribution with mean M and standard deviation V. where P is a vector of prices. At first I made a function with the parameters as impu, that computed the vector and the KS distance using kstest. The funcion work good, but when I used fminsearch with that function it returned mthe following errors Error in ==> erfc at 23 y = erfcore(x,1);
Error in ==> normcdf at 68 p = 0.5 * erfc(-z ./ sqrt(2));
Error in ==> cdf at 105 p = normcdf(x,a1,a2);
Error in ==> K_S at 24 cdfvals=cdf('norm',x,M,sqrt(V));
Error in ==> @(par)K_S(par,P)
Error in ==> fminsearch at 265 x(:) = y; f = funfcn(x,varargin{:});
I guessed that there were some problems because it hadn't enough informaation. So I decided to divide in 2 steps, at first compute dW with arbitrary parameters and use it as imput of a function that finds the best fit M V using the KS distance. Then I would like to find the other 3 parameters left using anominimizing another function thata compute dW and minimize th e KS distance to a normcdf with mean and std equal to the M V previously estimated. But returns the error:
??? Error using ==> erfcore Input must be real.
Error in ==> erfc at 23 y = erfcore(x,1);
Error in ==> normcdf at 68 p = 0.5 * erfc(-z ./ sqrt(2));
Error in ==> K_S2 at 24 [ignore1,ignore2,d] = kstest(dW,[dW normcdf(dW,M,V)]);
Error in ==> fminsearch at 266 f = funfcn(x,varargin{:}) May someone help me solving this problem or finding a better way? Gaia
Answers (0)
Categories
Find more on Poisson Distribution in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!