Aptech Systems, Inc. Worldwide Headquarters
Aptech Systems, Inc.
2350 East Germann Road, Suite #21
Chandler, AZ 85286
Ready to Get Started?
For Pricing and Distribution
Training & Events
Step-by-step, informative lessons for those who want to dive into GAUSS and achieve their goals, fast.
Have a Specific Question?
Q&A: Register and Login
Premier Support and Platinum Premier Support are annually renewable membership programs that provide you with important benefits including technical support, product maintenance, and substantial cost-saving features for your GAUSS System or the GAUSS Engine.
Join our community to see why our users are considered some of the most active and helpful in the industry!
Where to Buy
Available across the globe, you can have access to GAUSS no matter where you are.
Recent Tagsapplications character vectors CMLMT Constrained Optimization covariance matrix datasets dates dlibrary dllcall error error codes errors Excel FANPACMT file i/o floating network GAUSS Engine graphics GUI hotkeys installation Java API license licensing linux loading data loops matrices matrix manipulation Maxlik MLMT operators OPMT optimization Optmum PQG graphics procs random numbers simgauss string functions strings structures threading Time Series writing data
Time Series 2.0 MT
Find out more now
Time Series MT 2.1
Maxlik 5 & Gauss 12 combination — any known memory-related bugs?
I am using this combination with a relatively large data set (21,000 rows) fully held in memory. The OS is Win 7 64-bit version, 16-MB RAM.
I have run smaller versions of the estimation problem with Maxlik using the cross-product of the gradient (gg’)^-1 as the covariance matrix estimator. At convergence in smaller problems gg’ is invertible. With the bigger problem it is not, though the model specification has not changed.
Is it possible that the size of the data set is causing this behaviour?
Thanks for any help/insight.
In order to compute the cross-product, the log-probabilities must be computed by observation. In your procedure you have
where loglikeli is a scalar log-probability being expanded to a vector of the length of the number of observations. This is not the same as a vector of log-probabilities. This is not a vector of log-probabilities by observation and thus cannot be used to compute the cross-product matrix. It appears you are estimating an MNL model in which the log-likelihood is being computed from cells of a cross-tabulation and thus log-probabilities by observation aren’t generally possible.
I looked at the Hessian for this model (stored in _max_FinalHess) and it was negative definite. This is the result of a catastrophic failure of precision in the calculation of the Hessian. You could try working with the calculations in the log-likelihood. Precision is lost wherever large numbers are mixed with small numbers and your procedure contains the use of exp() along with ln() which are classical precision issues. Another solution would be to write a procedure for computing the analytical gradient. The Hessian would then be computed as a gradient of a gradient, increasing precision.
Large MNL models are frequently difficult to estimate because there is the tendency for an increase of zero or nearly zero cell frequencies. This results in a loss of information for standard errors. Another possible solution would be to fix some parameters to zero, or to each other thus reducing the parameter space. If you reduce the parameter space sufficiently you might have enough information to estimate the remaining parameters.