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• W2052257939 abstract "The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS's), and nonstandard probability spaces (NPS's) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS's are equivalent; without the assumption of countable additivity, the equivalence no longer holds. If the state space is finite, LPS's are equivalent to NPS's. However, if the state space is infinite, NPS's are shown to be more general than LPS's." @default.
• W2052257939 created "2016-06-24" @default.
• W2052257939 creator A5087025582 @default.
• W2052257939 date "2010-01-01" @default.
• W2052257939 modified "2023-10-16" @default.
• W2052257939 title "Lexicographic probability, conditional probability, and nonstandard probability" @default.
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• W2052257939 doi "https://doi.org/10.1016/j.geb.2009.03.013" @default.
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