Filling a gap in the Blackwell–Dubins construction

Adam Jakubowski; Adam Jakubowski

doi:10.1090/tpms/1244

November 17, 2025Theory of Probability and Mathematical Statistics

Filling a gap in the Blackwell–Dubins construction

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Key Points

False statements arise from the incomplete construction of the generalized Skorokhod representation, prompting a reevaluation.
The crucial gap found in the Blackwell–Dubins construction highlights important nuances in mathematical representations.
Assessment of the Blackwell–Dubins construction emphasizes the need for accuracy to avoid misleading conclusions.
Addressing this gap may enhance theoretical understanding and improve future mathematical applications.

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Implication

The analysis reveals issues in the construction of generalized Skorokhod representation, suggesting corrections are needed.

Abstract

We indicate a gap in the construction of the generalized Skorokhod representation given in Blackwell and Dubins ( PAMS , 89 (1983) , 691–692). It is shown that the construction, taken without correction, leads to false statements.

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Jakubowski et al. (2025) studied this question.

synapsesocial.com/papers/692509e8c0ce034ddc3527eb https://doi.org/10.1090/tpms/1244

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Filling a gap in the Blackwell–Dubins construction

Key Points

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Implication

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Filling a gap in the Blackwell–Dubins construction

Key Points

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Implication

Abstract

Discussion

Cite This Study

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