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On the denseness of the subset of discrete distributions in a certain set of two-dimensional distributions

Modern Stochastics: Theory and Applications. 2022. Vol. 9. No. 3. P. 265–277.
Borzykh D., Gushchin A. A.

In the article [Theory of Probability & Its Applications 62(2) (2018), 216–235], a class W of terminal joint distributions of integrable increasing processes and their compensators was introduced. In this paper, it is shown that the discrete distributions lying in W form a dense subset in the set W for ψ-weak topology with a gauge function ψ of linear growth.

Research target: Mathematics
Language: English
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Keywords: компенсаторcompensatorвозрастающий процессincreasing processterminal joint distributionразложение Дуба--МейераDoob–Meyer Decompositiondense set of distributionsтерминальное совместное распределениеплотное множество распределений
Publication based on the results of:
Mathematical problems in the theory of evolution of biological systems and demography (2022)
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