Open Research Index

Binary Regression for BV Class Conditional Probability

Rajesh Dachiraju

Hexagonhexagon/2610.00160Oct 8, 2026stat.THscore 0

In this article we solve the problem of binary regression when the class conditional probability is a multivariate function of bounded variation. We study the consistency of binary regression under a nonparametric sampling framework. Sufficient conditions are established for the convergence of the binary regression estimator, and quantitative error estimates are obtained. We further strengthen the analysis by introducing the assumption that the feature vectors possess a point density measure of bounded variation. Under this geometric regularity assumption, the expectation-based error…

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