mle for a custom distribution fit error

5 Ansichten (letzte 30 Tage)
Mate 2u
Mate 2u am 31 Aug. 2014
Kommentiert: Mate 2u am 5 Sep. 2014
Hi all, I am trying to use a code I found on-line which should work, but I am getting an error.
It is trying to estimate parameters from a Variance Gamma model. I have a custom probability density function called VGdensity:
function fx = VGdensity(x,theta,nu,sigma,mu,T)
v1 = 2*exp((theta*(x-mu))/sigma^2)/((nu^(T/nu))*sqrt(2*pi)*sigma*gamma(T/nu));
M2 = (2*sigma^2)/nu+theta^2;
v3 = abs(x-mu)./sqrt(M2);
v4 = v3.^(T/nu-0.5);
v6 = (abs(x-mu).*sqrt(M2))./sigma^2;
K = besselk(T/nu-0.5,v6);
fx = v1.*v4.*K;
Ok now I have a MLE function to estimate 4 parameters as below:
data = price2ret(prices)
dt = 1;
M = mean(data);
V = std(data);
S = skewness(data);
K = kurtosis(data);
sigma = sqrt(V/dt);
nu = (K/3-1)*dt ;
theta = (S*sigma*sqrt(dt))/(3*nu);
mu = (M/dt)-theta;
% VG MLE
pdf_VG = @(data,theta,nu,sigma,mu) VGdensity(data,theta,nu,sigma,mu,dt);
start = [theta,nu,sigma,mu];
lb = [-intmax 0 0 -intmax];
ub = [intmax intmax intmax intmax];
options = statset('MaxIter',10000,'MaxFunEvals',10000);
params = mle(data,'pdf',pdf_VG ,'start',start,'lower',lb,'upper',ub,'options',options);
However when I try to run this I get the following error:
Error using mlecustom>llf_pdfcdf (line 437) The PDF function returned NaN or infinite values.
Error in fminsearch (line 347) x(:) = xcc; fxcc = funfcn(x,varargin{:});
Error in mlecustom (line 183) [phat,nll,err,output] = ...
Error in mle (line 226) phat = mlecustom(data,varargin{:});
  3 Kommentare
Mate 2u
Mate 2u am 31 Aug. 2014
Bearbeitet: Mate 2u am 31 Aug. 2014
The parameter "prices" is a time series of 1000x1 of prices.
Sample data:
102.960000000000
103.220000000000
101.810000000000
101.560000000000
101.310000000000
102.240000000000
100.890000000000
99.0300000000000
98.6900000000000
100.700000000000
100.610000000000
100.320000000000
98.1500000000000
99.4700000000000
98.8400000000000
99.2300000000000
99.7600000000000
Mate 2u
Mate 2u am 5 Sep. 2014
any help?

Melden Sie sich an, um zu kommentieren.

Antworten (0)

Kategorien

Mehr zu Financial Toolbox finden Sie in Help Center und File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by