Tootfinder

On the entropy growth of sums of iid discrete random variables
Riccardo Castellano, Pavel Sekatski
https://arxiv.org/abs/2508.05348 https://arxiv.org/pdf/2…

On the entropy growth of sums of iid discrete random variables
We derive an asymptotic lower bound on the Shannon entropy $H$ of sums of $N$ arbitrary iid discrete random variables. The derived bound $H \geq \frac{r(X)}{2}\log(N) + {\it cst}$ is given in terms of the incommensurability rank $r(X)$ of the random variable -- a positive integer quantity that we introduce. The derivation does not rely on central limit theorems, but builds upon the known expressions of the asymptotic entropy of the multinomial distribution and sums of iid lattice random variabl…

Constructing new probability distributions on the unit interval
Roberto Vila, Helton Saulo, Poliana Matos, Subhankar Dutta
https://arxiv.org/abs/2508.01154 https://

Constructing new probability distributions on the unit interval
In this paper, we introduce a novel method for constructing probability distributions on the unit interval by exploiting the non-injective transformation defined by the ratio of two positive random variables, $X$ and $Y$. For simplicity and tractability, we focus on independent random variables $X$ and $Y$ following gamma distributions. We derive some results including laws, density functions, quantile function and closed-form expressions for the moments, and discuss maximum likelihood estimati…

Second-Order Characterization of Micro Doppler Radar Signatures of Drone Swarms
Anders Malthe Westerkam, Alba Spliid Damkj{\ae}r, Rasmus Erik Villadsen, Magnus {\O}rum Bastrup Poulsen, Troels Pedersen
https://arxiv.org/abs/2506.00497

Second-Order Characterization of Micro Doppler Radar Signatures of Drone Swarms
We investigate the second-order characteristics of the radar return signal from a swarm of rotor drones. We consider the case of a swarm of identical drones, with each a number of rotors comprised of a number of rotor blades. By considering the orientation and speed of each rotor as stochastic variables, we derive expressions for the autocorrelation function (ACF) and power spectral density (PSD). The ACF and PSD are in the form of an infinite series with coefficients that drop to zero at a pre…

from my link log —
A catalog of ways that compilers generate SSA.
https://bernsteinbear.com/blog/ssa/
saved 2025-02-11 https://