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Puja Pandey

Publications and source records attributed to Puja Pandey.

4 recordsLinked to original sources
arXiv2026

Generalization and Probabilistic Proofs of Some Combinatorial Identities

Using a probabilistic approach, we derive some interesting combinatorial identities involving gamma and beta functions. These results generalize certain well-known combinatorial identities involving binomial coefficients and special functions. In particular, by studying moments of the difference of two gamma and beta random variables, both in the dependent and independent cases, we obtain new combinatorial identities. This approach provides a systematic method to derive further combinatorial identities from probabilistic transformations.

math.PR↗
arXiv2026

A Unified Approach to Beta Moments, Combinatorial Identities, and Random Walks

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 of successive random steps in a mathematical space. A fundamental quantity of interest is the probability that a simple symmetric random walk returns to the origin after 2n steps. In this paper, we develop a unified probabilistic approach that connects the return probabilities in arbitrary dimensions with moment representations. Using this framework, we provide probabilistic proofs of several combinatorial identities involving beta and gamma functions, and derive new combinatorial identities in general dimensions.

math.PR↗
arXiv2021

On the Equivalence of Statistical Distances for Isotropic Convex Measures

We establish quantitative comparisons between classical distances for probability distributions belonging to the class of convex probability measures. Distances include total variation distance, Wasserstein distance, Kullback-Leibler distance and more general Rényi divergences. This extends a result of Meckes and Meckes (2014).

math.PR↗