We show that the exact distribution of a positive linear combination of independent Gumbel random variables can be written as the sum of a linear combination of independent log Gamma distributions, and an independent shifted Generalized Integer Gamma distribution. Given the complexity of this exact distribution, we develop a near-exact distribution using a shifted Generalized Near-Integer Gamma...

‎motivated by a celebrated theorem of schur‎, ‎we show that if~$gamma$ is a normal subgroup of the full automorphism group $aut(g)$ of a group $g$ such that $inn(g)$ is contained in $gamma$ and $aut(g)/gamma$ has no uncountable abelian subgroups of prime exponent‎, ‎then $[g,gamma]$ is finite‎, ‎provided that the subgroup consisting of all elements of $g$ fixed by $gamma$ has finite index‎. ‎so...

The main result of this article gives scaling asymptotics the Wigner distributions $W_{\varphi_N^{\gamma},\varphi_N^{\gamma}}$ isotropic harmonic oscillator orbital coherent states $\varphi_N^{\gamma}$ concentrating along Hamiltonian orbits $\gamma$ in shrinking tubes around phase space. In particular, these exhibit a $\textit{hybrid}$ semi-classical scaling. That is, simultaneously, we have an...

the implementation of different silvicultural systems can be effective on different characteristics of forest stands, such as stand structure and diameter distribution of trees. this study was carried out in shafaroud forests of gilan province of northern iran. the objectives of this research were 1) to evaluate the suitability of different probability distribution functions, including weibull,...

Recent studies of gamma-ray, cosmic-ray and radio data put stringent constraints on the fraction primordial black holes (PBHs) in our universe. In this article, we propose a new indirect method using X-ray luminosity cool-core clusters to constrain evaporating PBH for monochromatic, log-normal power-law mass distributions. The present results show that amount PBHs only constitutes minor compone...

INTRODUCTION The influence of molecular diffusion on the MR signal can be exploited to estimate compartment size distributions in heterogeneous specimens [1]. There has been recent interest in adopting this idea to characterize axon diameter distributions in white matter [2]. To this end, previous studies have assumed a known statistical distribution of compartment sizes (such as log-normal or ...