scholarly journals Rates of convergence in de Finetti’s representation theorem, and Hausdorff moment problem

Bernoulli ◽  
2020 ◽  
Vol 26 (2) ◽  
pp. 1294-1322
Author(s):  
Emanuele Dolera ◽  
Stefano Favaro
Keyword(s):  
Moment Problem ◽  
Representation Theorem ◽  
Rates Of Convergence ◽  
Hausdorff Moment Problem

An algorithm for the Hausdorff moment problem

1982 ◽  
Vol 39 (2) ◽  
pp. 231-238 ◽  
Author(s):  
G. Greaves
Keyword(s):  
Moment Problem ◽  
Hausdorff Moment Problem

On the Hausdorff and Trigonometric Moment Problems

1961 ◽  
Vol 13 ◽  
pp. 454-461
Author(s):  
P. G. Rooney
Keyword(s):  
Moment Problem ◽  
Closed Interval ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Functions Of Bounded Variation ◽  
Moment Problems ◽  
Image Position ◽  
Necessary And Sufficient ◽  
Hausdorff Moment Problem

Let K be a subset of BV(0, 1)—the space of functions of bounded variation on the closed interval [0, 1]. By the Hausdorff moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a given sequence μ = {μn|n = 0, 1, 2, …} there should be a function α ∈ K so that(1)For various collections K this problem has been solved—see (3, Chapter III)By the trigonometric moment problem for K we shall mean the determination of necessary and sufficient conditions that corresponding to a sequence c = {cn|n = 0, ± 1, ± 2, …} there should be a function α ∈ K so that(2)For various collections K this problem has also been solved—see, for example (4, Chapter IV, § 4). It is noteworthy that these two problems have been solved for essentially the same collections K.

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