Poissonian Exponential Functionals, q-Series, q-Integrals, and the Moment Problem for log-Normal Distributions

2004 ◽  
pp. 45-56 ◽  
Author(s):  
Jean Bertoin ◽  
Philippe Biane ◽  
Marc Yor
Keyword(s):  
Moment Problem ◽  
Normal Distributions ◽  
The Moment ◽  
Log Normal

Log-normal distributions in parasitology

1984 ◽  
Vol 93 (6) ◽  
pp. 591-598 ◽  
Author(s):  
Sandeep K Malhotra
Keyword(s):  
Normal Distributions ◽  
Log Normal

The moment problem on perfect hypergroups

2016 ◽  
Vol 29 (2) ◽  
pp. 232-236
Author(s):  
A. S. Okb El Bab ◽  
Hossam A. Ghany
Keyword(s):  
Moment Problem ◽  
The Moment

scholarly journals On the moment problem for a finite interval

1932 ◽  
Vol 38 (4) ◽  
pp. 269-271 ◽  
Author(s):  
T. H. Hildebrandt
Keyword(s):  
Moment Problem ◽  
Finite Interval ◽  
The Moment

scholarly journals Applied Optimization and Approximation

2014 ◽  
Vol 3 (4) ◽  
pp. 37-48
Author(s):  
Octav Olteanu
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
Linear Function ◽  
Polynomial Approximation ◽  
Moment Problem ◽  
Quadratic Forms ◽  
Two Dimensional ◽  
Several Variables ◽  
Applied Optimization ◽  
The Moment

The present work deals with optimization in kinematics, generalizing previous results of the author. A second theme is maximizing the constrained gain linear function and minimizing the constrained cost function. Elementary notions of optimal control are considered as well. Finally, polynomial approximation results on unbounded subsets in several variables are applied to the moment problem. The existence of the solution of a two dimensional moment problem is characterized in terms of quadratic forms.

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