Molecular Weight Distribution Control for Polymerization Processes Based on the Moment-Generating Function [PDF]
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 +5 more sources
The moment generating function of a reflected Brownian motion with drift
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
doaj +4 more sources
Applying the Moment Generating Functions to the Study of Probability Distributions [PDF]
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 +1 more source
Performance analysis of complex field network coding based on moment generating function [PDF]
The moment generating function was introduced to analysis closed-form expression for the outage probability that the relays employ complex field network coding,and the effect on symbol error probability with various modulation mode was evaluated.Computer
Gang-zi CHEN, Jing YANG
doaj +4 more sources
. In this note we propose an extended skew-Laplace distribution. We obtain explicit expressions for moment generating function and the two first moments of this distribution.
R. Pourmousa, A. Jamalizadeh
doaj +1 more source
G‐MGF based performance analysis of coherent FSO systems with multiple receivers
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
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 New Generalization of Weighted Geometric Distribution and its Properties [PDF]
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
A competitive family to the Beta and Kumaraswamy generators: Properties, Regressions and Applications [PDF]
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
General Recurrence Relations Based on Upper Record Values [PDF]
In this paper, we establish general recurrence relations satisfied by the single and double expected values of any measurable function of upper record values.
K. Sultan +2 more
doaj +1 more source

