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math.PR2022
Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data
Partha S. Dey, Grigory Terlov
We derive a Gaussian Central Limit Theorem for the sample quantiles based on locally dependent random variables with explicit convergence rate. Our approach is based on converting…
math.PR2022
On the probability of irreducibility of random polynomials with integer coefficients
Grigory Terlov
In this article we study asymptotic behavior of the probability that a random monic polynomial with integer coefficients is irreducible over the integers. We consider the cases whe…