Geodesic
Stieltjes classes for discrete distributions of logarithmic type
Filomat, Tome 34 (2020) no. 8, p. 2533

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DOI

Stieltjes classes play a significant role in the moment problem since they permit to expose explicitly an infinite family of probability distributions all having equal moments of all orders. Mostly, the Stieltjes classes have been considered for absolutely continuous distributions. In this work, they have been considered for discrete distributions. New results on their existence in the discrete case are presented.
DOI : 10.2298/FIL2008533O
Classification : 60E05, 44A60, 30E99
Keywords: Stieltjes class, discrete distribution, moments, analytic function 
Sofiya Ostrovska; Mehmet Turan. Stieltjes classes for discrete distributions of logarithmic type. Filomat, Tome 34 (2020) no. 8, p. 2533 . doi: 10.2298/FIL2008533O
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     author = {Sofiya Ostrovska and Mehmet Turan},
     title = {Stieltjes classes for discrete distributions of logarithmic type},
     journal = {Filomat},
     pages = {2533 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008533O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008533O/}
}
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