A sufficient condition of equivalence of the Choquet and the pan-integral

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F19%3A00504582" target="_blank" >RIV/67985556:_____/19:00504582 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011418301246" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011418301246</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2018.03.016" target="_blank" >10.1016/j.fss.2018.03.016</a>

Result language
angličtina
Original language name
A sufficient condition of equivalence of the Choquet and the pan-integral
Original language description
In this note, we continue to investigate the relationship between the Choquet integral and the pan-integral on infinite space. We will show that the (M)-property of monotone measures is a sufficient condition that the Choquet integral coincides with the pan-integral. In this discussion, the spaces are not restricted to be finite, thus the previous results obtained in finite space are further generalized and developed. A characteristic of the (M)-property of monotone measures is also presented.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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