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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The moment generating function of a reflected Brownian motion with drift
Results in Applied MathematicsWe 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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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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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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A Note on Generating Functions for Hausdorff Moment Sequences [PDF]
Proceedings of the American Mathematical Society, 2008 For functions f f whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of
Oliver Roth +2 more
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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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Some Families of Jensen-like Inequalities with Application to Information Theory
Entropy, 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
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A competitive family to the Beta and Kumaraswamy generators: Properties, Regressions and Applications [PDF]
Anais 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
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A New Generalization of Weighted Geometric Distribution and its Properties [PDF]
Journal 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
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