The estimate of $\chi^2$ distance between binomial and generalized binomial distributions
Vytas Zacharovas
TL;DR
This paper provides estimates of the difference between binomial and generalized binomial distributions using the chi-squared metric and related measures, aiding in understanding their divergence.
Contribution
It introduces new estimates for the chi-squared distance between binomial and generalized binomial distributions, expanding the tools for distribution comparison.
Findings
Derived bounds for chi-squared distance
Extended estimates to related metrics
Enhanced understanding of distribution differences
Abstract
We obtain the estimate of difference between binomial and generalized binomial distributions in metric and in several other related metrics
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Taxonomy
TopicsGeometry and complex manifolds · Stochastic processes and financial applications · Geometric Analysis and Curvature Flows