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General Formulas for the Central and Non-Central Moments of the Multinomial Distribution [PDF]

open access: yesStats, 2021
We present the first general formulas for the central and non-central moments of the multinomial distribution, using a combinatorial argument and the factorial moments previously obtained in Mosimann (1962).
Frédéric Ouimet
doaj   +8 more sources

Approach of the value of an annuity when non-central moments of the capitalization factor are known: an R application with interest rates following normal and beta distributions

open access: yesRatio Mathematica, 2015
This paper proposes an expression of the value of an annuity with payments of 1 unit each when the interest rate is random. In order to attain this objective, we proceed on the assumption that the non-central moments of the capitalization factor are ...
Salvador Cruz Rambaud   +2 more
doaj   +5 more sources

A novel Eulerian model based on central moments to simulate age and reactivity continua interacting with mixing processes [PDF]

open access: yesGeoscientific Model Development, 2023
In geoscientific models, simulating the properties associated with particles in a continuum can serve many scientific purposes, and this has commonly been addressed using Lagrangian models.
J. Rooze, H. Jung, H. Radtke
doaj   +1 more source

Moments of the Negative Multinomial Distribution

open access: yesMathematical and Computational Applications, 2023
The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data.
Frédéric Ouimet
doaj   +1 more source

New Developments on the Non-Central Chi-Squared and Beta Distributions

open access: yesAustrian Journal of Statistics, 2022
New formulas for the moments about zero of the Non-central Chi-Squared and the Non-central Beta distributions are achieved by means of novel approaches.
Carlo Orsi
doaj   +3 more sources

Energy dependence of intermittency for charged hadrons in Au+Au collisions at RHIC

open access: yesPhysics Letters B, 2023
Density fluctuations near the QCD critical point can be probed via an intermittency analysis in relativistic heavy-ion collisions. We report the first measurement of intermittency in Au+Au collisions at sNN = 7.7-200 GeV measured by the STAR experiment ...
M.I. Abdulhamid   +382 more
doaj   +1 more source

Measurement of Intermittency for Charged Particles in Au + Au Collisions at $\sqrt{s_\mathrm{NN}}$ = 7.7-200 GeV from STAR

open access: yesSciPost Physics Proceedings, 2022
Local density fluctuations near the QCD critical point can be probed by intermittency analysis of scaled factorial moments in relativistic heavy-ion collisions.
Jin Wu
doaj   +1 more source

Estimation of statistical moments of performance functions using efficient importance measure

open access: yesJournal of Asian Architecture and Building Engineering, 2022
This paper introduces an efficient methodology for evaluating the first four central moments of performance functions in structural reliability assessment. The procedure of the proposed method is divided into three major steps.
Dong-Zhu Hu, Zhao-Hui Lu, Yan-Gang Zhao
doaj   +1 more source

Tan-G class of trigonometric distributions and its applications

open access: yesCubo, 2021
In this paper, we introduce a new general class of trigonometric distributions based on the tangent function, called the Tan-G class. A mathematical procedure of the Tan-G class is carried out, including expansions for the probability density function ...
Luciano Souza   +5 more
doaj   +1 more source

Matrix moments of the diffusion tensor distribution and matrix-variate Gamma approximation

open access: yesJournal of Magnetic Resonance Open, 2021
Diffusion MRI allows for the non-invasive investigation of the microscopic architecture of biological tissues in vivo. While being sensitive to microstructural tissue changes, diffusion MRI yields poor specificity regarding the cause of these changes ...
Alexis Reymbaut
doaj   +1 more source

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