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math.PR2026
Lehmer-Lambert Distribution
Masoud Ataei, Vladimir V. Vinogradov
The Lehmer transform of a positive signal is the ratio of its power sums at consecutive orders, read as a function of the order, and it is a strictly increasing analytic curve from…
math.PR2026
Derangetropy Operators
Masoud Ataei, Sepideh Forouzi
A derangetropy operator reweighs a probability density by a fixed profile of its own cumulative distribution function, acting through ranks alone. We prove that these operators are…