4 papers
A Unified Approach to Beta Moments, Combinatorial Identities, and Random Walks
Puja Pandey, Palaniappan Vellaisamy
The study of random walks has increasingly been popular across diverse disciplines such as statistics, mathematics, quantum physics, where they are used to model paths consisting o…
Generalization and Probabilistic Proofs of Some Combinatorial Identities
Palaniappan Vellaisamy, Puja Pandey
Using a probabilistic approach, we derive some interesting combinatorial identities involving gamma and beta functions. These results generalize certain well-known combinatorial id…
A Note on Statistical Distances for Discrete Log-Concave Measures
Arnaud Marsiglietti, Puja Pandey
In this note we explore how standard statistical distances are equivalent for discrete log-concave distributions. Distances include total variation distance, Wasserstein distance,…
On the Equivalence of Statistical Distances for Isotropic Convex Measures
Arnaud Marsiglietti, Puja Pandey
We establish quantitative comparisons between classical distances for probability distributions belonging to the class of convex probability measures. Distances include total varia…