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math.PR2021★ 9 cited
Khinchin-type inequalities via Hadamard's factorisation
Alex Havrilla, Piotr Nayar, Tomasz Tkocz
We prove Khinchin-type inequalities with sharp constants for type L random variables and all even moments. Our main tool is Hadamard's factorisation theorem from complex analysis,…
math.PR2019★ 3 cited
Sharp Khinchin-type inequalities for symmetric discrete uniform random variables
Alex Havrilla, Tomasz Tkocz
We establish several optimal moment comparison inequalities (Khinchin-type inequalities) for weighted sums of independent identically distributed symmetric discrete random variable…