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Optimization using weights

Hello,

I have to maximize a likelihood in which to every observation correspond a specific (non-integer) weight. In particular, I am referring to sampling weights, which denote the inverse of the probability that the observation is included in the sample.

I tried by expanding the dataset (so that an observation with weight = 100 is repeated 100 times) but the dataset became extremely large and it's the second week that fminsearch is running.

My ultimate goal would be to estimate a non-linear model with a binary dependent variable and weights to observations.

Please any alternative idea on how to proceed is welcome. Thank you in advance.
Alessandro

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