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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

Differential Invariants of Measurements, and Their Relation to Central Moments [PDF]

open access: yesEntropy, 2020
Due to the principle of minimal information gain, the measurement of points in an affine space V determines a Legendrian submanifold of V×V*×R. Such Legendrian submanifolds are equipped with additional geometric structures that come from the central ...
Eivind Schneider
doaj   +6 more sources

A Comparative Study on Weighted Central Moment and Its Application in 2D Shape Retrieval

open access: yesInformation, 2016
Moment invariants have been extensively studied and widely used in object recognition. The pioneering investigation of moment invariants in pattern recognition was due to Hu, where a set of moment invariants for similarity transformation were developed ...
Xin Shu   +3 more
doaj   +3 more sources

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

On the Distribution of the Information Density of Gaussian Random Vectors: Explicit Formulas and Tight Approximations

open access: yesEntropy, 2022
Based on the canonical correlation analysis, we derive series representations of the probability density function (PDF) and the cumulative distribution function (CDF) of the information density of arbitrary Gaussian random vectors as well as a general ...
Jonathan E. W. Huffmann   +1 more
doaj   +1 more source

Three-Dimensional Central Moment Lattice Boltzmann Method on a Cuboid Lattice for Anisotropic and Inhomogeneous Flows

open access: yesFluids, 2021
Lattice Boltzmann (LB) methods are usually developed on cubic lattices that discretize the configuration space using uniform grids. For efficient computations of anisotropic and inhomogeneous flows, it would be beneficial to develop LB algorithms ...
Eman Yahia   +2 more
doaj   +1 more source

Bernstein-type bounds for beta distribution

open access: yesModern Stochastics: Theory and Applications, 2023
This work obtains sharp closed-form exponential concentration inequalities of Bernstein type for the ubiquitous beta distribution, improving upon sub-Gaussian and sub-gamma bounds previously studied in this context.
Maciej Skorski
doaj   +1 more source

Analyzing determinants of poverty in Central Java with Generalized Method of Moments [PDF]

open access: yesIndustrija, 2023
The purpose of this study is to examine determinants of poverty in regencies/cities in Central Java. This study examined poverty, investment, savings, and infrastructure as the research variables by focusing on the vicious cycle of poverty.
Yesi Elisandi Dian Natalia   +2 more
doaj   +1 more source

Computer Estimation of JRC Index Using Function Moments

open access: yesMendel, 2021
The paper deals with a shape of geological discontinuities. This shape significantly affects the stability of rock massifs. The joint roughness coefficient (JRC) is one of the main shape indicators but the methods of its estimation are based on the ...
Dalibor Martisek
doaj   +1 more source

A Finite Element Parametric Study of Reinforced Concrete Horizontally Circular Deep Beams [PDF]

open access: yesE3S Web of Conferences, 2021
A parametric study of twenty-five reinforced concrete ring deep beams using finite element analysis is presented in this study. This paper took into account the kind of loading (partial and complete), the diameter, depth, and width of the ring beam, as ...
Talal A. A.   +4 more
doaj   +1 more source

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