Results 1 to 10 of about 710,045 (311)

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

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

Informatică 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
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Deriving Mixture Distributions Through Moment-Generating Functions [PDF]

Journal of Statistical Theory and Applications, 2020
This article aims to make use of moment-generating functions (mgfs) to derive the density of mixture distributions from hierarchical models. When the mgf of a mixture distribution doesn't exist, one can extend the approach to characteristic functions to derive the mixture density. This article uses a result given by E.R. Villa, L.A.
Subhash Bagui, Jia Liu, Zhang Shen
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SOME DEFICIENCIES IN USING MOMENT GENERATING FUNCTIONS

Global Journal of Mathematical Sciences, 2004
Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions.
Abraham Okolo
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Characterizing Exponential Family Distributions by Moment Generating Functions [PDF]

The Annals of Statistics, 1975
It is shown that if $\mathbf{T}$ has an unknown exponential family distribution with natural parameter $\mathbf{\theta}$, then $\mathbf{G(\theta)} = \mathbf{ET}$ uniquely specifies the moment generating function. The converse is proved, namely, if $\{\mathbf{T_\theta}\}$ is a family of random variables with moment generating functions of a certain form,
Allan R. Sampson
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The moment generating function of a reflected Brownian motion with drift

Results in Applied Mathematics
We derive an explicit formula for the moment generating function of a Brownian motion with drift reflected from above in one barrier. Some other properties of this stochastic process are also reported.
Fredrik Armerin
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On the Convergence of Sequences of Moment Generating Functions [PDF]

The Annals of Mathematical Statistics, 1947
The purpose of this paper is to give a few theorems concerning the reciprocal relation between the convergence of a sequence of distribution functions and the convergence of the corresponding sequence of their moment generating functions. The paper consists of two parts. In the first part the univariate case is discussed.
W. Kozakiewicz
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The negative $σ$-moment generating function [PDF]

Added reference to related results in Getzler-Kapranov.
Sean Howe
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On Moment Generating Functions and Renewal Theory [PDF]

The Annals of Mathematical Statistics, 1965
Charles J. Stone
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G‐MGF based performance analysis of coherent FSO systems with multiple receivers

Electronics 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
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