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Molecular Weight Distribution Control for Polymerization Processes Based on the Moment-Generating Function [PDF]

open access: yesEntropy, 2022
The molecular weight distribution is an important factor that affects the properties of polymers. A control algorithm based on the moment-generating function was proposed to regulate the molecular weight distribution for polymerization processes in this ...
Jianhua Zhang, Jinzhu Pu, Mifeng Ren
doaj   +2 more sources

Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]

open access: yesInformatică economică, 2007
In this paper, we describe a tool to aid in proving theorems about random variables, called the moment generating function, which converts problems about probabilities and expectations into problems from calculus about function values and derivates.
Silvia SPATARU
doaj   +2 more sources

G‐MGF based performance analysis of coherent FSO systems with multiple receivers

open access: yesElectronics Letters, 2021
This letter investigates the performance of coherent free‐space optical systems with multiple receivers especially through the generalised moment‐generating function based approach.
Seongah Jeong, Jinkyu Kang, Hoojin Lee
doaj   +1 more source

Some Families of Jensen-like Inequalities with Application to Information Theory

open access: yesEntropy, 2023
It is well known that the traditional Jensen inequality is proved by lower bounding the given convex function, f(x), by the tangential affine function that passes through the point (E{X},f(E{X})), where E{X} is the expectation of the random variable X ...
Neri Merhav
doaj   +1 more source

A competitive family to the Beta and Kumaraswamy generators: Properties, Regressions and Applications [PDF]

open access: yesAnais da Academia Brasileira de Ciências, 2022
We define two new flexible families of continuous distributions to fit real data by compoun-ding the Marshall–Olkin class and the power series distribution. These families are very competitive to the popular beta and Kumaraswamy generators.
GAUSS M. CORDEIRO   +3 more
doaj   +1 more source

A New Generalization of Weighted Geometric Distribution and its Properties [PDF]

open access: yesJournal of Statistical Theory and Applications (JSTA), 2017
Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
doaj   +1 more source

On the 3D Nature of the Magpie (Aves: Pica pica) Functional Hindlimb Anatomy During the Take-Off Jump

open access: yesFrontiers in Bioengineering and Biotechnology, 2021
Take-off is a critical phase of flight, and many birds jump to take to the air. Although the actuation of the hindlimb in terrestrial birds is not limited to the sagittal plane, and considerable non-sagittal plane motion has been observed during take-off
E. A. Meilak   +6 more
doaj   +1 more source

Several Basic Elements of Entropic Statistics

open access: yesEntropy, 2023
Inspired by the development in modern data science, a shift is increasingly visible in the foundation of statistical inference, away from a real space, where random variables reside, toward a nonmetrized and nonordinal alphabet, where more general random
Zhiyi Zhang
doaj   +1 more source

On the Distribution of a Quadratic Form in Normal Variates

open access: yesRevstat Statistical Journal, 2018
It is a well-known theorem in linear models that the idempotency of a matrix is a sufficient and necessary condition for a quadratic form in normal variates to have a chisquare distribution, but its proofs in the early literature were incorrect or ...
Jin Zhang
doaj   +1 more source

Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution

open access: yesJournal of Statistical Theory and Applications (JSTA), 2019
A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641–652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall–Olkin extended distribution.
Haseeb Athar, Nayabuddin, Saima Zarrin
doaj   +1 more source

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