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Oct 27, 2015 at 18:01 comment added whuber The problem is universal to the blind use of black-box optimization algorithms, to be sure. It is important to code a function that can be computed for all values satisfying the constraints. For many algorithms, it is important that the function not fail for values that do not satisfy the constraints, too.
Oct 27, 2015 at 15:48 comment added Glen_b Commenters weren't suggesting you "delete data". They were suggesting the parameter values should be discarded; they couldn't produce the data you have.
Oct 27, 2015 at 14:56 answer added Bill Woessner timeline score: 4
Oct 27, 2015 at 14:30 comment added mmh @user777 I think the problem is universal to all optimization algorithms. I tried eight different solvers.
Oct 27, 2015 at 14:25 comment added mmh The optimization algorithm decides which $a$ and $b$ to try. So, depending on the iteration different $x_{i}$'s are impossible. I think deleting data might introduce some problems.
Oct 27, 2015 at 14:22 history edited mmh CC BY-SA 3.0
added 28 characters in body
Oct 27, 2015 at 14:22 comment added Stephan Kolassa Well, if there are some $x_i<a$ or $x_i>b$, then you know that your $[a,b]$ can't be right. Your likelihood for such $a,b$ must be zero. Just discard them.
Oct 27, 2015 at 14:22 comment added Xi'an These are impossible values so the likelihood is zero and the log likelihood minus infinity.
Oct 27, 2015 at 14:21 comment added mmh Sorry there was a mistake in the text. It is now corrected. The problem appears with $x_{i} < a$ and $x_{i} > b$ where the density is zero.
Oct 27, 2015 at 14:17 history asked mmh CC BY-SA 3.0