hausdorff moment problem
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Hausdorff moment problem: Recovery of an unknown support for a probability density function

2017 ◽  
Vol 25 (6) ◽  
Author(s):  
Amir Kazemi ◽  
Hamid Reza Shahdoosti ◽  
Robert M. Mnatsakanov
Keyword(s):  
Probability Density Function ◽  
Probability Measure ◽  
Probability Density ◽  
Density Function ◽  
Moment Problem ◽  
Hausdorff Moment Problem

AbstractIn this work the following problem is discussed: Unknown are two objects, a probability density (corresponding to a distribution, or to a probability measure)

On Polynomial Maximum Entropy Method for Classical Moment Problem

2015 ◽  
Vol 8 (1) ◽  
pp. 117-127
Author(s):  
Jiu Ding ◽  
Noah H. Rhee ◽  
Chenhua Zhang
Keyword(s):  
Maximum Entropy ◽  
Moment Problem ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Moment Problems ◽  
Monomial Basis ◽  
Ill Conditioning ◽  
Legendre Moment ◽  
Hausdorff Moment Problem ◽  
Classical Moment Problem

AbstractThe maximum entropy method for the Hausdorff moment problem suffers from ill conditioning as it uses monomial basis {1,x,x2,...,xn}. The maximum entropy method for the Chebyshev moment probelm was studied to overcome this drawback in. In this paper we review and modify the maximum entropy method for the Hausdorff and Chebyshev moment problems studied in and present the maximum entropy method for the Legendre moment problem. We also give the algorithms of converting the Hausdorff moments into the Chebyshev and Lengendre moments, respectively, and utilizing the corresponding maximum entropy method.

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