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The variance-gamma ratio distribution

open access: yesComptes Rendus. Mathématique, 2023
Let $X$ and $Y$ be independent variance-gamma random variables with zero location parameter; then the exact probability density function of the ratio $X/Y$ is derived.
Gaunt, Robert E., Li, Siqi
doaj   +1 more source

Note on the moment generating function of the multivariate normal distribution

open access: yesMiskolc Mathematical Notes
We present a streamlined proof of a formula for the derivatives of the moment generating function of the multivariate normal distribution. We formulate it in terms of the summation of the contractions by pairings, which encodes a combinatorial ...
Kenichi Hirose
doaj   +1 more source

Note on uncertainty in Monte Carlo dose calculations and its relation to microdosimetry

open access: yesZeitschrift für Medizinische Physik
Purpose: The Type A standard uncertainty in Monte Carlo (MC) dose calculations is usually determined using the “history by history” method. Its applicability is based on the assumption that the central limit theorem (CLT) can be applied such that the ...
Günther H. Hartmann, Hans G. Menzel
doaj   +1 more source

Increase in colonic propionate as a method of preventing weight gain in adults aged 20–40 years: iPREVENT, a multicentre, double-blind, randomised, parallel-group trial

open access: yesEfficacy and Mechanism Evaluation
Background Overweight and obesity affect over 60% of the United Kingdom population and constitute a major risk factor for the development of comorbidities.
Gary Frost   +16 more
doaj   +1 more source

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