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Statistical classification is the problem of identifying the sub-population to which new observations belong, where the identity of the sub-population is unknown, on the basis of a training set of data containing observations whose sub-population is known. Therefore these classifications will show a variable behavior which can be studied by statistics.

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How to increase estimated probability of minority class in imbalance data?

Use a generative classifier that learns the likelihood of the class of interest. Perhaps start with a Naive Bayes classifier with a uniform prior.
Jayaram Iyer's user avatar