The paper deals with logistic regression when the sample is split into training and holdout sub-samples. Under the assumption that, asymptotically, the ratio of the sizes of the two sub-samples is approximately fixed, we prove that the logistic regression coefficient MLEs calculated from the...

We prove that the limiting distribution of the standardized random number of comparisons needed to sort a list of length n by Quicksort has a density, and investigate some theoretical aspects of a numerical method used to estimate the density.

A qualitative probability structure, , where is an algebra on the set X and [succeeds, curly equals] is a binary relation on , satisfies connectedness, transitivity, nontriviality, nonnegativity, and additivity. In this paper, we state and prove some isomorphic and symmetric properties of such...

In this paper, we give simple mathematical results that allow us to get all cut-off points that maximize the overall proportion of correct classifications in any binary classification method (and, in particular, in binary logistic regression). In addition, we give results that allow us to get...