st: not concave log pseudolik in gnbreg

["paolo.dibetta@fastwebnet.it" <paolo.dibetta@fastwebnet.it>]

I am running a model in -gnbreg-

The log takes many iterations and the final part reads as follows:

Iteration 1320:log pseudolikelihood =  -399.5054  
Iteration 1321:log pseudolikelihood =  -398.9085  
Iteration 1322:log pseudolikelihood = -398.79423  
Iteration 1323:log pseudolikelihood = -398.77882  
Iteration 1324:log pseudolikelihood = -398.74555  (not concave)
Iteration 1325:log pseudolikelihood = -398.74486  
Iteration 1326:log pseudolikelihood = -398.74102  
Iteration 1327:log pseudolikelihood = -398.74077  (not concave)
Iteration 1328:log pseudolikelihood = -398.74077  

Generalized negative binomial regression          Number of obs   =        341
                                                  Wald chi2(18)  =          .
                                                  Prob > chi2     =          .
Log pseudolikelihood = -398.74077                 Pseudo R2       =     0.4011
//(table of results omitted)


What is disturbing is that
1. it says "(not concave)" and then replicates the same value;
2. it does not give the Wald test.

I know that the true problem is when the last iteration says 
"(not concave)" and then the results come out, 
so I do not know if I can trust the results in this case.

What is going on? I wonder if I can use the results.
(The results of the overall model make sense, by the way. It is the best I have,
 with the lowest AIC and BIC. High multicollinearity is a problem, but I need to
 keep interaction terms.)

Thank you very much in advance for any help, much appreciated.

Best,
Paolo Di Betta
University of Palermo, Italy

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